Hello Hello Physics What does the public say about tension? The tension of physics Is What should I tell you quickly, I am tensed about Physics Do the kids say, Bhaiya, will you wipe it off? hi hello everyone good morning everyone my name is prashant and you are watching new Indian Era youtube2 3 4 5 6 and 14 15 completion going to end 4:00 p.m. to 9:00 p.m. Till then brother, the remaining chapter is complete That means today is not Valentine's Day brother It is Physics Day, do you understand, Buran Sir is saying were you sir today is valentine day and you Sir is teaching physics, today is physics day Sir, in the morning, the wife is suspecting me I woke up at 6:30 and asked where are you going Check it online brother, I am the same person and nowhere else I am teaching physics on Valentine's Day Friend, what can anyone say, yes the wife is suspecting Do you know if there is anyone at home sir let's talk No, he is ready to sacrifice himself for the children too, Sir. At what time did you leave home? I left home in the morning I am at 6:15, ok my wife is worried Your lecture is going on, it starts in the morning 7:30 8 o'clock where are I going so early He had to go out wearing this t-shirt, brother Look, okay, you can't go on a date if you wear this I will go, everyone check the date, yes you understand Are you guys dating physics or not? brother okay so okay guys now most Let's talk about important things in this session Inside, today BK Sir to you guys The one that is complete, brother, it is complete I will get it done, that means if you guys come today So watch the whole session till the end if you have a house j f If WiFi is installed then it is a very good thing If not, please recharge Rs 50 today For this you can transfer 5 to 10 GB to me. It will help you a lot, okay today you will do the whole session People, look at it and it is yours completely. I know complete physics and the rest Isn't it true that tomorrow is the 15th and 16th and there will be something new tomorrow There is going to be a blast, isn't it sir? Reveal it now No sir, I will not reveal it now Okay, so you guys should understand this. ok so guys you should understand this thing that brother Today you have to do all these chapters in a short It is requested that all the formula sheets There are as many numericals and theories as there are You will get all of them in tomorrow's sessions. I will go because tomorrow there will be paper This is where the questions are going to arise from sir will tell you well and which is most It is an important thing today, isn't it? Derivations Complete Theory Complete Definitions As many big as you guys think All the important questions are here today P Y Qs will be covered today and Whatever number of chapters you have, complete chapters If that is covered then please keep it by your side Don't open your text book for as many years as you want Whichever teacher you might have studied from, You must have made notes, complete them and keep them with you. You have your mobile with you, keep good earphones Apply it well and keep a water bottle Sit down comfortably because this is your revision and better than this there is revision in believe it will not happen either and the way in which it is done here You will get the answers written on it the way you need to pass in your board exams You have to write as it is, pay attention to this okay so let's go now just a little bit Let me tell you something important Because look friend, no matter how much you study physics Study chemistry for board exam I am obvious to you people You want to make a blast but only when you are a professional What is missing from engineering colleges So yours will be cleared from the entrance itself if you understand this then it is ok for him Brother, we took the most important thing A small batch of sweets for you guys We have brought this which is called Achievers Batch Achievers Batch 3.2 is also launching soon Think about it, there are many great offers in it It is almost busy, you guys will see it, brother More than 10000 MCQs will be given to you And the solutions will be given along with their tests The series is a full 6-hour live lecture It will start from 1st March, it is ok and complete The complete syllabus of CT 11th and 12th Everything will be covered and for that only ₹5000000 But I think who studies PCMB Friend, who gives the whistle for the entire PCMB? PCB is also there and the most important thing is you People here also have PCM for Rs 500 Just one single subject for you guys I want to read it in a blast at the end what you need to do for that is People will have to download New Indian Era app and inside this app you will find many All things will also be available for free like Important questions of Physics Physics which of the formula sheets physics Numerical series are many things You can also get it for free here If you go in PDF format, it's great Download it and inside this you will find If you get Achievers batch also then you can purchase that too Do it now, offers are available right now Brother, let's start today's tough one Whatever day it is for us, it is for him, sir call us welcome Sir a very good morning kids welcome Back to an IE New Indian Era Myself burhan n m kamgaon wala and and and a Very special morning guys for all of you But at this point, we know very well Guys your time is very valuable There is a lot of value in fine so sir I had to talk to you about important things, I did that so without wasting any time Wasting a Single Minute Lets Directly Proceed to our chapters immediately Sir, child, you have to revise. Valentine's Day it's day happy valentines day thank you so much beta happy valentines to you ok You are rubbing salt on the wound, yes I understand everything hey you are going too fast, too much I will not say anything these days on the channel I know the videos are getting deleted from No, I don't know what happened to my brother never mind ok fine so without wasting the time ga come on come on come on just just Bus Fun fun fun on the side son only 1600 I have 2000 likes kids let's at least get the likes If you get Rs. 2000 then start writing immediately I will give you everything, it is ready, please like it quickly So guys please give it to me at least Rs 2000 today right now I will try my best to keep the minimum At least you should complete one chapter in one hour Let's go son, see, you know our The first two chapters are like elephants, read them I swear to my mother that my life will be taken away While teaching, read those two chapters quickly once After it's over then rap like a mask Rap Rap Rap KTG Thermo Ocean Dual Nature We do this in 45-45 minutes (40-40 minutes) We will revise it quickly, fine it quickly, let's go to 1800 Likes reached 1800 let's go to 1900 come on 2000 to 2000 and once again in the chat box send your heart yes very good happy physics day It is very important to say this hey come on ok ok so without wasting the time Guy I put the mic down I was so excited I am here, let's sleep without wasting the Time Let's Move to Our Chapter Rotational dynamics guys rotational dynamics your The chapter is divided into two parts for you all Do you know the first part is circular motion, the second part is rotational motion so without wasting time Let's move on to our first question is defined as uniform circular motion ucm6202 of a body along the circumstance of Circle with Constant Angular Speed Example motion of satellite around the earth when the satellite revolves around the earth So which motion does UCM perform? Uniform circular motion clear guide Be sure, move ahead and do as much as you can I have told you to write only that much in the exam it is not more than that, not less than that correct I have given these answers to the board exams for two years, son. papers checked by 2015 and 2016 examiners He says he wants point to point answers point to point clear sure whatever you have asked There is no sense in writing unnecessary things Let's move ahead, next is also a board exam I have already asked explain the concept What is the concept of centripetal force yes ok so on the screen in front of you I will show you I am explaining these circular motions when A particle performs circular motion neither his magnanimity Constant but its direction at every point correct keeps changing when a particle performs a circular motion what does magni noodle city mean sir Its number means 2 meter per second constant The second constant at 5 meters will be 10 The second on the meter will remain constant but every what is its velocity at the point changes because when a particle performs a circular motion, then its The direction of velocity is tangent Correctly, the angle of the circle at every point is It is different for different people, so at every point Its direction changes because If the direction of velocity is changing then it accelerated motion becomes which motion accelerated correct son you have learned football If the kicked football is going straight You need to roll the football in a circle In the circle you have to lock him again and again so that it moves in a circle correct No means you have to apply force again and again then if someone is in accelerated motion then according to newton's law of motion for the body to be in continuous motion it is to be acted upon by force constant Who is that in force correct body circular motion This force is called centripetal force Force Acting on Particle Performing Circular motion is directed along the Radius towards the center is directed along the radius towards the center clear Guys definitely on screen once again But the answer is, I am repeating it once more hmm i circular motion magnetia motion it is to be acted upon by a Constant force in circular motion this force is centripetal force the force Acting on a Particular Performing Circular motion that directs along the Radius Towards the Center Absolutely Fine So what is the formula for centripetal force? = m a what is v s / r then what is f mv2 / r f what is m omega s here is a this is a mistake here There will be a little problem in 1 minute is correct m oga s and f = mv-official Let's start, then the next sentry petal and Distinguishing centrifugal force also It has appeared in board exams many times Ok, let's tell me what happens, just find out once do you have the Force acting on a Particle Performing Circular Motion Ch J directed along the Radius Towards The Center Bara Bol The Force acting on a Particle Performing Circular Motion which is Directed away from the center which is directed Away from the center clear puka it is a real force it is a real force it is a pseudo Force OK I don't know work It don't write this pot sometimes teacher consider doesn't Ok it directed Towards Centre I directed away from Centre Equal it takes Place In newton iners fm of Reference It Takes Place in non Inertial frame off Reference is very important so move ahead Let's go without wasting time Expression for velocity of a vehicle over a Horizontal Circular Track Guys Last Year Derivation for two marks in March 24 I came here, very simple, what am I saying Consider a vehicle of mass moving along a Curved road with radius of curvature r kaisa The road is horizontal, meaning there is no bang Consider a vehicle of mass moving horizontally Along a curved horizontal road with radius Of curvature r the necessary centripetal The force required to trace this curve is provided by frictional force between the tyres of vehicle and the road to Centripetal force is equal to friction Formula of centripetal force mv2 / r What is the formula for friction force? n read Frictional Force fssai.gov.in The surface of both the bodies is in contact it happens correct now a is equal to whom wait to a whom is equal to wait to a If the place as a a cancel a is sent up then s what did you get if it is correct then what will you get later irrit m a rg small derivative small derivative equals now y over check this case here am a&r&g a constant of a road can you find the radius of you can decrease the curvature but not change g can you do it no so we are directly proportional to the root of m a means if v has to If you want to increase, then what do you need to increase? Now increasing the speed means increasing the road surface Roughing up Now if you want to roughen the road surface a lot If you ride it too rough then the wear end of the tyre Causes tear which means the life of tyre gets reduced if he does then it is not possible well the second thing is the value of me It does not remain constant over time what happens slowly slowly with it is decreasing sir why because when Whether it rains or there is an oil spill on the road If the value of MA goes on decreasing, that means What if your value of v also keeps decreasing? I will not drive a car So what do we do with the roads so that we can run them are they banning what are they banning What is Banking of Road Banking of Road The The phenom of raging out of the edge of the road over its inner edge by certain angle with the Horizontal The Phenome of Raging the Outer Edge off the road over its inner edge by certain angle With the horizontal is called as banking of The road which I had bragged about before was The answer is Necessity for Banking Why Off Road Banking is Necessary Off Road well remember banking off road is Effective for a two wheeler vehicle sorry Two wheeler not for two wheeler good banking Sir, how does off road make a difference, I will tell you I will explain, your car is running When your road becomes banked, so does your car When your car will become like this while traveling So, your car's center of mass exists. There is a shift due to which it gets automatic What happens to its speed, if it reduces then what will happen He can easily trace the biker who is Isn't it true that both its tyres are either on the inner edge they will stay there or they will stay on the outer edge Move your vehicle to trace a curve what do you do, tilt it so that the center of Mass shift happened, I understood the matter, pure concept Clear question may come in this banking off Road Effective for a Two Wheeler Vehicle explain with reason why clear Sure banking was also done off road what did we give this question draw neat Labeled diagrams showing the various forces and The components acting on a vehicle Moving on a curved horizontal road is okay I am just explaining it right here I am explaining it to you here hmm its derivation will come further then there we will People will go a little fast, okay? The diagram is in front of you, but I will repeat it again I am making a diagram for you as well pay attention Give me your road equal to how many degrees theta y Yours Vehicle correct move when the vehicle is in this position If it happens then how many forces act on it Sir, I know it, tell me from which section tell me which ones The first one goes downwards, what is its weight its weight goes back to the surface Remembering Perpendicular is a Normal Reaction How will the surface always act Perpendicular that's why when we go to the Wall of Death If you study then you will know how to drive a car there He is driving on that wall so Perpendicular comes out normal reaction correct son absolutely sure okay so this normal reaction n absolutely sure oh yes or no lala shar chal Now check if you can see this or not going with the vertical no what a going with horizontal otherwise So we resolve n into two components In how many components will you resolve it This first component out of two components is vertical This second component is horizontal sure now what is this have you resolved it na so either one will be n or one will be n which one Which sign am I telling you about this angle What is theta then what is this angle will go theta alternate angle everyone understands Now let's move the normal reaction surface what is perpendicular means this is complete What will be the angle 90 of which one part What is theta? So this is the remaining part. Gaya 90 - tell me did you understand it or not My kids are sure to like this component now We also considered each other perpendicular. My darling, please take out this entire angle of yours is 90 of which one part is 90 - theta Then what will be the remaining part again Theta so much geometry came to my head After studying this much geometry, I came to know about theta The side k is now n k theta and this will become n with th now these three in derivation It will remain the same even if you take the safest speed Whether you take maximum speed or minimum Take the speed, it is going to remain like this It will not change, it is clear, yes or no Lala Shar baba is clear chal aa ra expression for Maximum Velocity Well, let me tell you this, it is more safe What is the speed for? Safe speed or then the angle of Banking Angle of banking, let's pay attention to the angle of banking Correct the next writing part is speaking orally hoon listen consider a vehicle of mass a moving Along a curve road with radius of curvature a bat an angle theta n the vehicle in given position it is acted upon by two forces first weigh m in downward direction second normal reaction and perpendicular to the Let the surface resolve into normal reactions two component first vertical component n k theta second horizontal component n sa theta sure yes or no let's go now Let's move on to correct balancing conditions who is going up and who is going down mg3 will be equal to number one okay now n sa theta this car is like this who is tracing theta of n The force which is moving towards the center goes towards the center what does he make Centripetal force then n theta will act as necessary Centripetal force equation number two both to divide Tax speak n with up n c = mv2 / r / mgm1 canceled sin2 / rg2 what did you get rg1a then what will v get son √ rg1 this is the expression for bolo bolo this is the expression for most Safe speed of a vehicle on a banked road correct go from here if you don't go from here then theta will be sorry theta will be equal to no Evers of V S up rg2 speed or angle of Banking is clear son, I am absolutely sure At the safest speed we reduce friction Remember to neglect friction keep on neglecting now whom should we kiss Let's come to maximum speed, son. Use your mind and tell me are you driving you have traced the road now you are at full speed I mean you are at maximum speed and when you If someone traces it then where does your car go? is the inner app or the outer app is the inner app it goes that outer app say hey sir outer pay It goes away and that's when accidents happen, right? The vehicle cannot maintain the speed of the cow trace The pie rots and the tangy sial comes out Watch the correct Dhamaal movie, isn't it about Chitfund remember the money is 10 crore under the big W or no ok then the car takes a turn at speed I am not able to maintain it and the tension comes out he gets into an accident correct kid People say yes or no for sure, oh yes or no sure So when you are driving and at full speed If you take a turn, what about your car? goes outer Now if the vehicle is going towards Outer App then The friction force will be opposite meaning inner ap k comes inner ap to Now whatever your concept is was attention give this theta this is yours The lawyers will come regularly now MG same perpendicular went under you normal reaction two of normal reaction These are the components, I said it will remain the same This n sign is equal to son Shar now this is outer It is inner, isn't it? Your friction force is coming is the friction force sir friction force a it is on inner h like this is your f a Friction force is certain, now just check yours The friction force is going along the vertical Isn't he going to the middle with the horizontal I am correct na how many angles at theta angle Is it visible with the horizontal on it? We will resolve that also into two compounds next to theta it becomes f a k theta and let it be will go to f a cos theta Correctly this is at maximum speed You have to make a diagram, check it and write it down I am repeating what you wrote now. Dhyan considers a vehicle of mass moving Along a curved road with radius of curvature r bad at an angle Theta is sure to be safe when the vehicle is in given position as shown in above figure it is Acted upon by three forces First Wit mg2 to the surface third friction force against the direction of motion let us Resolve Normal Reaction into Two Components Vertical component n Horizontal Component n partner let us resolve frictional Force into two components horizontally Component fssai.gov.in Son who is going up and how many are going down the floors are going two two are going so n will be equal to check mgs2 n will it be equal mgs2 From here I mgs3 if I went there then minus is sure to go back Come back son, how many floors will you have to go towards the center There are two floors going there but only one because there was no friction here how many forces are going two hundred and together Centripetal Force Check do then mv2 / r will be in with + f kath equation number two again divide equation 2/1 ok i want to write this chal 2 diva ba 1 Tell me what will you get if you do 2 di ba 1 mv2 /r/ mgs3 + f cos theta up n cos theta minus a divided equally by both a and a cancel or save RG what should I do now son this is the number and Divide the denominator by n to get the sum of n Theta, you have to remember this step of mine baby please don't forget don't forget Divide all four terms by theta if n A cancels n cos n K cancel cos cos cancel chal bole to v stand up what will I get now this is all over again theta my baby it's done f a up n it's done one thing is done, f you were not at my side sure sure if v is v max then f a friction what is force n so what did you get my baby fs1 n Let's put it so v max squared up rg3 + m s / 1 - m tan3 f ba write m diya chal to v sc max what did I get baby arz in the bucket n theta pm a up 1 my m n theta so v max how much did my child get root of arc in n theta pm a up 1 my man theta absolutely sure son absolutely sure this is the Expression for maximum speed of vehicle On bank road good minimum what for There will be a change, check it, not the complete derivation I am telling you just the diagram, check it do this to you road this theta She is constantly calling her sister, blow the whistle It is raining, if you start then the forces will return to their normal state hey tell me it went down from here AG from here Our Lala went up and the noise became n theta is ours this became ours n I know this much about sa theta now the minimum speed when you are driving and You have kept your speed to a minimum and you drive your car like this so what do you try to do that I where should i park my car in inner a I love my life my friend oh my love o home I don't know what to say in the lecture, pay attention to your ears I will play it below, I have to study physics, my love remembers we are doing it okay come on yes or no Valentine son such a wax has come please read it nice girl bus and train behind it You don't know how to run after money run away no comments left ok fine then when What do you call a car moving at a slow speed what are you doing you are turning so you If you do anything to the car then If the inner is the friction force then the outer is the friction force It will go sir, this is where the friction goes Now let's calculate the force equal to friction force resolve me resolve me Son, which one would you take, this component and that one The component was not confirmed hoga hai hey vertically opposite angle toye ho will be a cos it will be fssai.gov.in up in psy theta mine f kas theta now complete The ones which do not do derivation are the same derivation To divide, you have to follow the same method same method change what will happen up minus down plus say my lala up minus down plus Rest of the derivation is complete copy paste Derivations 3 derivations copied and pasted Back to back kisses in a minute Shavari will move ahead, let's ask what he said A new part has been asked about Covid has been asked once after the motion of a Vehicle inside a wall of death now a well of death Do you know what happens? Have you seen it in the circus? It is good for you people not to get confused sir I saw frustum there but you see it here You are telling me cylinder, yes because frustum What happens when the radius of the wheel changes constantly So its speed also changes there What are people considering as a constant? Radius so first of all what does the definition say it is a cylinder tomorrow wall it is a cylinder The Wall Inside Which a Vehicle Performs Horizontal circle correct so what should I say I am considering a vehicle of mass Performing Horizontal Circle Inside a Wall of death with radius r when the vehicle is in given position when the vehicle is in given position it is acted upon by three forces how many first three come listen to me one thing always comes which wait If the direction is down then the weight should move down I was absolutely sure what I had just told you How to act like a normal reaction some time ago Your car becomes perpendicular to the surface Everything is going like this right? Yes, no, it is normal This is how the reaction surface will look perpendicular to it Yours has come and now we will chew it for sure You are calculating the minimum speed, right? Minimum speed means it's coming down if it's coming down It is coming, meaning where is the friction floor going where is it going up fs00 is going up Above now balancing condition weights mgs2 ma then f a will be equal to mgs3 force then what will become sentry Pedal force f = mgs2 up r = m a a cancel so what do you get m a v s = aa then v sk what will you get son Aarj If you are an A then what is the minimum that my child got root rj up m a root of rg up m a absolutely sure sure sure lala but this is the expression for my velocity of walk inside a wall of depth move forward Let's go conical pendulum what came conical pendulum spoke derive an expression for First of all what is a conical pendulum son A simple pendulum which is given such a motion that's it bub perform a horizontal circle end string describes a cone so i what do I say consider a bunch of mass attached to one end of a weightless in extensible string of length l given such a motion that It's Bob Describes a Horizontal Circle and string describes a coal when the Bob is in given position as shown in above Figure it is acted upon by two forces Bob is not in the air here so his weight is down below will act If you do then let us resolve the tension t*to Component first horizontal component ts2 t k theta sir how do you know theta see if this is theta then this is also theta Hey my darling this will become theta right The other side of the alternate angle theta the one that nayo pakka let us resolve tension t * 2 component vertical component t k theta theta function with the horizontal component t Who is going to top the balancing condition? Who is going down the edge then the first equation did you get this equation of number and center which side is the force going sir if it is working then it is with you Up Moving Diva baw so what did you get sine theta your cos th b of water to the head tell me if t is cancelled then what did I get from tan3a child's m a cancel v s / rg2 what happened to my child rg1 theta equals so v what did you get my baby the root of rg1 theta beta just remember this is the expression for the linear velocity of the Bob that Bob that's rotating its linear This is the expression of velocity, this is Joe Bob it is rotating with its linear velocity This is an expression, where will it come in handy Tere ko find the kinetic energy of bob So the value of v is a time limit for putting no 18 sorry 17 your text book Find the Kinetic Energy and Potential Energy of the Conical Bob pinm clear guys this will be useful there come on But what should I do if you find me? what is this say speak speak tell me what is t 2 pa r/ v You know it na, hey, sir, respect upon me what is the velocity at t = 2 pa aa up v root off r g t theta will work my child immediately sure oh yes or else if t = 2 pa y r it is outside the root if it is taken in the root it will look something like this It is outside the root, it will come inside the root square will be one r one r cancel running If you pay attention then what will you get 2 p root I hope you will understand this step If you understand then give yourself a slap what did you do to give it to me sent it But from the figure to the figure to the figure to the figure to the figure If this radius is r and this length is l, then What is this in a right angle triangle theta sa theta is opposite upon Hypotenuse r ba a put then t = 2 part r kas theta up g * r ba a r a cancels l goes up then at t = 2 par l theta up g I tell kids over and over again I am a mark in March 2015 MCQ came the very first MCQ of the question paper is the time period of Conical pendulum is Dash dash option this was the option this was the child I don't even remember because we are one step ahead what do you write step by step since theta i is very small so cos theta is very small okay so k th i Approximately equal to t then this is t Pa Raj is a 2 year old kid who is looking for that option but he forgot that he comes from here So that's why I'll leave it here But even if you leave it, someone will blame the teacher I do not have the right to give this right answer is three Derivation of mark has been done, let's start first We have reached the last part of the part We have reached the last part of circular motion People come on clearly tell me what you said son 21 October 21 March 23 Asked twice Who knows this year may come when Driwer N Expression for velocity of a vehicle at different Point for Particle Performing Vertical Circular mission will gain attention a little faster give me a consideration what i say body of mass m attached to one end of a weightless In extensible string of length a world In a vertical circle of radius r correct share Now that my particle is here, I took its velocity v1 v2 v3 correct when the particle is here so I put the tension aside taken t1 t2 t3 velocity at highest point A Velocity at lowest point B Velocity at midway point c tension at highest point A tension at lowest point B tension at midway point c correct now son very good The thing to understand is the wait at this point It always goes down so the weight went down mg1 is also going down mg3 who will make pital force t1+ There should be more tension then If the string does not break then t2 - m = mv2 up r equation number to here only t3 is going towards the center if it is then t3 will be mv3 start check it Check the three equations that I have You should check all the three equations that I told you Told me here both of them were going down so plus b over t2 up edge down so minus c But I was just going to T3 center and then I arrived Sure! Tooth will move now ok Now At The highest point to remember is at Highest Point A The tension t1 is minimum there for t1 = 0 hey you na your Take the charger and twist it gently The adapter is not rotating, mine has moved here and there There is no responsibility, something is broken in the house Two bad answers are not responsible when you are turning it like this when your adapter If it goes up then you feel like your The string became very light where it came down If it is there then it seems that it has become heavy, then the circular At the highest point to maintain motion A to maintain circular motion ok tension t1 is Minimum Two Maintain Circular T Maintain circular motion equal equal don't delay for i zero but your who knows and come P As soon as mv1 starts to move = 0 then as so a cancel tov scr up aa is to v1 scr kya mila araj tov kya I will get it son RG what will you get rut RG this is the Expression for minimum velocity at hast Point Clear guys will work for sure Shar Ha That don't move forward come on now At Lowest Point B. Now you have to remember this a little. What thing should be remembered, money, what thing is here, here What is the velocity of the net energy at a What will be the velocity of 1/2 mv1 sq What is v2 then kinetic energy at point b what will be 1/2 mv2 sq here velocity how much is v3 kinetic energy at point c kya hoga half mv3 s Shar son if I consider B as the ground Ground motion ground potential What is the formula of energy as a Ground means if h becomes zero then the potential What will be the energy at point B What is this at what height from zero point? radius of circle r to potential Energy will become edge aa at what height from b is r p r 2r then How much potential energy did you get at point a mg2 come on understand one thing when you are going from b to a if yes then your potential energy is increasing Meaning the kinetic energy will decrease based on the principle of Conservation of energy if we go from B to A If P is increasing then the price of K will decrease sure to at highest point be Bye Principal Off Son, tell me what will be the conservation of energy change in p from a to b e to change in k from b to A which is bigger and first What will we get from this P minus P B change means minus k b minus k change means minus this what is mg2 it means 2mg this is zero This is 1/2 mv2 and 1/2 mv1 as already explained So 2mg here 1/2 m common v2 s - v1 s m A cancel it went up 2 * 2 4rg v2 s minus what is v1 s r g here If minus comes here then plus 4 p so what did you get v2 sc 5g so what did you get v2 R f arj this is the expression for maximum Velocity at lowest point maximum Velocity at lowest point is absolutely certain ok now for whom will you repeat the same, son Tell me, for whom will you repeat the same song? Lala speak speak speak speak At Midway point se same same bole bye Principal Off Conservation of energy will be done a little faster Speak quickly Son change in p from A to C will be equal to change in K from c2a is equal to then p minus p will be equal to k This is equal to 2mg aa mine edge out I told you in the last 1/2 mv3 smy 1/2 mv1 s2 -1 mg2 m common v3 s - v1 s m a cancel 2rg = v3 s mine is v1 s rg2 + 1 then v3 s what do we get 3rg then v3 what did you get √3 r this is the expression for velocity at Midway point c Velocity at midway point c This is your four mark derivation Complete and with this our first part Completed, now let's come to rotational motion which one is rotational Motion Circular Motion End Rotational Motion Correct What is the first thing you should read? The first thing to read is Moment of Inners I have to read Moment of Inner what is the moment of inners son I am writing the formula from the formula [music] Derivative and Square of Perpendicular distance between axis of Rotation moment of inertia of a rigid body body its axis of rotation is defined as sum of product of mass of each particle and square of its perpendicular distance from axis of Rotation confirmed its unit is kg meter [ __ ] Dimension is l2 2 m1 t0 it is a scalar actually There are tensors, there are no tensors in our syllabus so it is a scalar quantity for sure Its physical significance it depends upon the distribution of mass it depends upon orientation of axis of rotation it depends upon distance of the particle from axis of rotation these three things It depends on me, I am not writing the definition you don't have time once again I am talking about the moment of inertia of a Rigel body its axis of rotation is Defined as sum of product of mass of each Particle and Square of Perpendicular Distance between axis of rotation clear Make sure to make some noise now back to back Three derivations have to be made, the first is kinetic Energy 2nd Torque 3rd Angular Momentum no problem let's do it back to back It is ok to do derivation, it is very easy, very simple pay attention what am I saying consider the result What is the kinetic energy of a What do I consider as a rotating body? A Ridgley ing about an axis passing through o and perpendicular to its plane with Constant Angular Speed Omega Let the Body b divided into n number of particles each of mass m1 m2 dot dot dot mn1 r2 dr dud r a from axis of rotation when the body rotates each particle performs Circular motion with different radii and Speed There for Linear Speed of Each The particle is given by when the particle ro When the body rotates, the force above it Every particle is a particle, what does it perform What does circular motion perform circular motion different speed and radius From this we are finding the speed of each particle what is it that v1 = r1 omega v2 = r2 omega dot dot dot dot vnrom.net But Kinetic energy of itch Particle I given by bolo ka au particle gwan by instead of only half and vv scr so half and vv per av scale omega Squatch will be 1/2 m2 v2 means 1/2 m2 r2 s omega squa dot dot dot dot k n will be 1/2 mn2 mnnit.ac.in is given by bolo total kite is given Bye itu e1 p e2 ps dr dr dd equals to half a Aw Sk Omega Squa Plus Half A2 Sc Omega Squa Plus half dot d dot dot dot 1/2 m a r a s omega squa is there anything common with 1/2 omega m1 r1 sp m2 aa2 sp in square brackets p dot dot dot mnnit.ac.in 1/2 aa omega square = 1/2 aa omega square clear Guys I am absolutely sure let's move ahead next torque same everything same consider a Regime Wrong About X Passing Through It center perpendicular to its plane with Constant Angular Acceleration Alpha Let the Body be divided into a number of particles each of mass m1 m2 dot dud m a situated distance of r1 r2 dr dad r from axis of rotation n the body rotate the particle Perform circular motion with different radii and Acceleration delay linear acceleration of The particle 'i' is given and 'I know it' what is it son tell me son what is av alpha a2 what is a2 what is alpha dot dot dr dot a aa aa this Acceleration I know what is the formula for taking it Kraus A what is not what is not So Force Acting on E Particle is given by Bol Force Bol Force aav will be aav aav means aav aav alpha a2 will be a2 a2 mean m2 aa2 alpha dot dot dr dot a a will be a a a means a a aa a alf shar got this force ok but what is it Bar aa bar cross a bar then ta what will you get It was like this, my child knows this much, right? what is a bar cross b bar a sa th so what will happen next but th is 90 and sa is 90 1 correct so late for tow what will you get r1 f1 r1 what is f1 m1 r1 alpha then m1 r1 alpha r2 f2 mean m2 r2 scale alpha dot dot dot dot ta a what will you get r a a a mean m a aa a [ __ ] alf so total torque acting on Rotating body is given by tell me what is it son taw ps tat p dod dd dot a so this will become m1 o s alpha plus m2 r2 sf p dot dot dot m a la noise here comes torque two derivation back to back three marks in board exam You guys have asked and seen it, let's define it Radius of Gyre and Shade Its Physical significant physical significant of Radius of gyre are same as that of moment of inertia is the same, check it, it is the same, check it Now do the radius of ratio, what is the radius of ration of a rigid body on the axis of rotation is defined as distance between Radius of ratio is a distance between axis of rotation and a point which is The point where the whole mass of the body is supposed to be Why concentrated so that we can reach that point I also got the same moments of inners as I got earlier remained Tha Check do it is rotating from here you have made a point Take Took this c this is o this is k so radius of The ratio of a given axis of rotation is defined as distance between axis of rotation and a point where the whole mass of the The body is supposed to be concentrated so as to get same moment of inertia as about Given axis means moment of inertia I am getting the same here as well I am telling you the definition, son, Any digest, any book, any notes This definition is not in any text book remember it remember it remember it take clear guys grow Let's go ahead, what did the next driver say? Expression for kinetic energy of a rolling body now when a body rolls So he performs two motions, how many motions two first which linear because it moves forward Which other rotational option is there to consider? ridge body of mass i'm rolling down inclined plane from height h incline theta When the body rolls down it performs both Motion Linear Motion and Rotational Motion There For kinetic energy of rolling body is Equal to kinetic energy of linear motion plus kinetic energy of rotational motion What is linear 1/2 m v s What is rotational is 1/2 aa omega s just read it now what can be written for 1/2 m space 1/2 i yes you are m's oh m's is written as m's and what is omega is sin aa is m k s and v if r omega then omega v ba r will get something it is common 1/2 mv2 is common one is left here The remaining s/r will be proved here Kinetic Energy of Rolling Body Kinetic Energy of rolling body is just a waste of time No, your time is very important to me. I know it is I will grow Next just three three concepts four three or four Three concepts and end first chapter therm on Parallel Axis Thermal Axis Clear what are you saying listen to me First of all, what is this statement saying? raha aa i aa si ye si na subscribe me ye C Subscript I subscribe to this me chal bol moment of nashia of ridge body Now the axis of rotation is equal to sum of Moment of inner about parallel axis pang through center of mass and product of mass of body and square of perpendicular Distance between parallel axes Perpendicular Distance Between Parallels Axis clear once again moment of inner side of a rigid body and axis of rotation is equal to some of the moment of inners about a parallel axis passing through the centre of mass and product of mass of body and square of perpendicular distance between Parallel Axis What do I say now? consider a consequence of mass common rotating about axis passing through o and perpendicular to its plane consider parallel axis passing through center of mass c let ao be the moment of Ishia About o I Moment of Inners About c wrote now the moment of inners What is the formula of mass in distance square do you have mass if not then What I say is Consider Small Elements of mass at Point Consider Small Element of Mass d At What is the distance of the point from r1 distance of r1 from o end r2 from c I took a small element whose mass is d where d on which o at a distance r1 from C and at a distance r2 from D Clear and sure of the moment of Ishia what is formula summation place of summation If I take integration then it will be What is the integration mass and what is the distance is r1 s are o what is the distance from the caddy r1 s So what is the integration dm1 s similarly i How much integration mass will be obtained instead of summation Is dm2 scan Now what do you have to apply for tax pythagoras rum what to apply Pythagoras Theorem to in Triangle in Triangle P No is a c and yah yah yah yah yah yah yah no i did not get any reply what did you find in the big triangle If we move forward equally then ds = dn2 + this will look like this what is happening nocas2 So what is skyscraper p ac in what should I do now ss tha tera aa2sn ac x asjum kiya we had and what would I say if mlap is there then dm1 s = dm2 s P 2x hdm1 integrating on both side i hope so I am going a little fast, I have to go son you will have to wait for an hour Surpass has completed its first chapter If it is not done then anyway how do I wind it up This Quick start now what is integration dm1 s So this is done i this is done i check it Le Plus will add small masses then Big Mass m equals sure and if you take this out is 2h so it came x Centre of mass is zero so long for integration XD A how much has this whole team become zero what is left if it is gone aa i aa p a squa simple straight and easy simple straight and easy simple straight and easy big age without any hassle wasting the time, okay I had completed it already come what do you want to study now Perpendicular axis moment of inertia of a plane lamina about a perpendicular Axis moment of inertia of a plane The lamina about a perpendicular axis is equal to sum of moment of inertia about Two Mutual Perpendicular Axis Concurrent with perpendicular axis lying in the plane of laminar body lying in the plane of Laminar body shar then i = i + ava sem iso I am going quickly, so I will correct myself Consider a plane lamina of mass m rotating about an axis passing through o end Perpendicular to it's plain consider to Mutual Perpendicular Axis x and y Concurrent with Perpendicular Axis z Sure let a be moment of inners about z Axis i be moment of iners about x Axis Awa B Moment of Inertia About The axis considers a small element of mass at points m and n on x and y axis Respectively now this is the x intercept right now This is the x intercept, so this is x, this is y If this is the intercept then this is y, this is y, this is y, this x this is equal to x now it looks like a rectangle is this x so this also becomes x this is y If it is then it is also equal to y, I am absolutely sure What will happen if I come now? Integration dmp3 r to r s i l i integration dm6 What is the perpendicular distance y from p Then, y s i wa lu awa integration dmp3 i come anyone take a triangle now take a triangle in triangle p in triangle p then what will you get tell me op1 hey this right is 90 degree so sc will be equal to m s + s then r s = y s + x s Multiplying Both Side Ba Absolutely sure son Sure! Let's last but not the Least principle of conservation of angular Momentum Principle of No External Torque is acting on rotating body no External torque acting on a rotating The body's angular momentum is conserved When any torque acts on a rotating body if it is not happening then its angular moment What is always conserved is what is ahead writing part cadre re body of mass wrong Pass the Sutter Perpendicular Vi's Anger Velocity Omega Let B be the Torque acting not rotating body a bar be itus Angular Momentum and P Bar Be It's Linear Momentum now you know what we note what is l bar aa bar crusp what is bar a bar a bar cross p What I say every time is different If we respect time then will we get DA Body ED Body Of R Bar Crus P Bar Correct Son, tell me to break this body first into you derivative of second plus second inu Do you know the derivative of first r What is the rate of change of momentum, son? Force and rate of change of displacement what happens Velocity put kar to d a ba dt1 cross what is this did you get a bar what is this got gya v bar what is Momentum av equals na shot then d a ba dt1 cross v bar self cross is always What is zero self cross always zero So if this term becomes zero then dl2 what did you get ta bar p m * 0 so d ba dt1 then if ta if o bar is zero then dl1 will be 0 d bar dt8 of change of angular momentum change Angular momentum is zero change of angular Momentum is zero means that change is taking place it's not happening it's not happening it's not happening means it is constant so when any torque If the force does not act on the rotating body then What remains its angular momentum? Conserve Its example is ballet dancer We're gonna stretch our arms out speed decreases because the moment of inertia increases and the arms fold Moment of inner decreases as angle decreases velocity increases then the driver example diver when he jumps What does fold mass do to your body concentrates the moment of What should happen if the inner part is less and the angular velocity is less grow so that he can do more flips and As soon as it approaches the water it again What does stretching do to your body? Smooth Entry Inside The Water so guys its first one in a quarter of an hour I completed chapter 1 in R15 I had said earlier that the first two chapters should be extended son After that we will cut the cot and blow it away Two chapters are long so have some patience You will be fine in just a minute I should drink water, I would drink hot water for a minute. I don't know, how about revision of first chapter tha son please fill the chat box once quickly Fill in the chat box once quickly and Children come to the channel for the first time and cannot forget it please subscribe and like fast How about the first lecture quickly? was quickly fill the chat box son no Son, I don't have a 10 minute break. you don't have time either Are you crazy? You are taking too much time today it is important just a minute while i drink some water just one I got 3500 likes in just a minute, friend, just like that Come on do it 4000 times, quickly do it 4000 times. people save us quickly come on quickly come on come on let's come now Now in Mechanical Properties of Fluids Mechanical is again a big chapter guys three is part of the chapter OK 1st static fluid 2nd fluid Dynamics Third Viscosity and Surface Touch okay I will definitely go to rappa rappa rappa I will try to finish it in an hour. I don't know if it will happen but try let's do it okay sure let's go first First things first, fluids mechanics ok so what is the first thing to read what is fluid fluid son the substances which can flow are called as fluids are substances that can flow what do we call them? they're called fluids Example Liquids and Gases Ideal What is a fluid? Fluids that are incompressible which will not compress whose volume is constant and mass is fixed Volume has fixed mass but density is Constant Sure and friction furthest between the adjacent layers What is off fluid, zero means no There is no friction surface, we call it It is said that ideal fluid is now the most First you have to read what is pressure, it is Unit on Defined Edge Perpendicular Furrows area actually you can say it like this it is Unit Area Thrust at Defined A Thrust it happens perpendicular Force and pressure are perpendicular forces What pressure will you get from this area? So what will I get from here? Not at all Surely a unit newton per meter square The dimension l-1 a1 t-2 is a scalar quantity What does isotopic in nature mean from a point Acts in All Direction equally what did you say son from a point acts in all direction equally ok some what is the conversion 18 1.013 10 5 newton per metre square bar e Approximately or sometimes 10 Newton meter squa a a ells equal to 7 tr 760 Terrific, remember this now Son Pressure Dew Two Vertical Liquid Column pressure due to vertical liquid column pressure due to Horizontal Liquid The column is not writing any complete major derivation. just understand the concept just understand the concept my one container this is what i filled in the container One Fluid I took one equal amount of this fluid Cylinder Take a cylinder whose cross What is the sectional area of a tree whose height how much is it h you are absolutely sure come on tell me son tell me which section is on this cylinder Forces Act is happening first its weight facing down or understand what I am saying, understand what I am saying by looking at a carpet act here It will be OK which is at the bottom It will not be the same here if I say pressure is p1 here i say The pressure is p2, here the pressure is p1, so below A force will go to f1 what will go to f1 and that will go to f1 what will happen son p1 f1 what will happen p1 a sure Here also a force will act which will where will it go up what will it be f2 and what is f2 f2 p2a now the child says sir How is this going up if you understand what I am saying If I take this liquid column then this water here The water will transfer its weight downwards on this surface. So, this surface is putting it upward. That force will give a force in the direction I have understood that this is the reaction to an action I understood the reaction to the action and it was absolutely clear Shyar ok so now how much force acts on this cylinder There are three mg1 f2 for equilibrium For Equillium Speak Quickly For Equillium Upward force will be equal to downward Force upward will be equal to force down Who is Word Force Upward Force f2 down word force who is f1 pm chal bola f2 what did you get p2 2 a f1 what did you get p1 m row v g mass to density corrected into volume Be sure and say p2a = p1 + a g Converting Volume into Cross Sectional Area height so p2 = p1 + row as a cancel this is The Expression for Pressure Due to Vertical The liquid column came here very firmly then p2 mine pv Eros To Delta P Eros understood my dear ko delta p i rose yes or no good is this to if above if then what will be the expression p minus p sorry p i p n r o as soon as I came here p - p n = row edge and what is this called gouache what is the pressure called gotch pressure the Difference between absolute pressure and atmospheric pressure the difference between Absolute Pressure and Atmospheric Pressure well now if I do a vertical liquid Horizontal Liquid Column What to Look for Horizontal Liquid Column Horizontal Liquid Column So a force will go from here and here a force f2 will flow through the The sectional area A is the pressure drop here here the pressure p2 so horizontal each other then for equivium speak son for equi bryan f1 e f1 means p1a = p2a a cancels so p1 = p2 So remember the pressure Along Pressure along pressure along horizontal liquid Column Pressure Along Horizontal Liquid The column is always constant pressure along The horizontal liquid column is always Pressure Increase in Constant Vertical it happens as you go down What is the pressure in horizontal Constantly, these two points are very important This is because pressure increases vertically what is the pressure in horizontal Constant Pressure Along Same Horizontal level is always constant equal hota hai clear What is a barometer? Barometer it is a Device which is used to measure atmospheric Now what does the barometer concept say about pressure? hey son what did we take a 1 meter long What is the diameter of a cylinder tube 1 centimeter of which was filled with mercury Filled it up to the rim then we made a dish what did we feel in that dish mercury now what did we do to that tube what did you do to that dish, did you invert it Because of which some part of the tube gets Where did the mercury go inside the dish and what vacuum has been created above now i for three points this a this b and this c is good there is a vacuum above or there is a vacuum above means a If there is nothing above then pressure at point a how much will it become zero How much will the pressure at point A become zero ok c and b same regional level Pressure at point B E Pressure at point C check the pressure along with same green colour level Who is putting pressure on C? atmosphere to see pressure at point s nothing Butt Atmospheric pressure so if you compare this and this So what is the pressure at point B? atmospheric pressure butt a butt b above a What is the height of the liquid column you just read If the liquid is lying above a point now column its height is a then total over there tell me how much is the pressure PP BE Upper Pressure Pumps Rozi Rozi up the pump pressure is how much is zero So p b what did you get row ag means This is clear guys, very clear guys, son just give me one minute just one Minute Hello Hi Hi Hi Hello Hello Sorry Guys Clear Guys ok ok ok let's go ahead and check it How much did the LOP become, if the LOP became zero then the LOP got a target I am sure now what does Pascal's law mean What is Pascal's law? Pascal's pressure applied to any part of an enclosed fluid At rest pressure applied to any part of An enclosed fluid at rest tals end diminutive of the fluid and gets edge on the walls of the container pressure applied to any part of an enclosed fluid at the wrist travels on diminishing of the fluid end gates exerted upon the walls of the Container sure is its application The first is the hydraulic lift hydraulic What is the function of lift? It uses Pascals. Law ok so that little fars apply what can you do to lift the heaviest So I have two interconnected vessels feed with a fluid above the piston s1 The piston above the other has s2 surface area of piston s2 is greater than that of s1 now when I apply force f1 from here then the pressure developed will be p1 a correct p1 = f1 / a Now this pressure travels throughout the fluid it will go here it will go all through the fluid He will travel and become an agent somewhere on the walls of the on this second piston h2 Because of which the second piston moves upwards will eat with force f2 check do fitted with two piston s1 s2 the surface area of piston a1 s1 is a1 and s2 is a2 respectively where a2 is far greater than a1 and now if we apply force f1 in downward reaction The piston pressure exerted by it is given by p1 = f1 a this pressure travels and Diminished Through Fluid End Gates exerted on piston s2 which is pushed Upward by force f2 now what is f2 p2 * a2 correct hey yes or no but p2 to whom it is equal same pressure right p2 which one is equal if p2 is equal to p1 and f1 is up then instead of p2 I put f1 up and it arrived The answer is here, your answer is absolutely clear guys Sure Clear Guys let's come to fluid dynamics now How do we know about fluid dynamics? Important Definition Streamline Flow The Motion of a fluid over a plane surface r in a close tube truth that its velocity is less than certain minimum value is called as a stream line flow the motion of a Fluid over a plane surface and in a close proximity tube sach that its velocity is less than In certain minimum value bracket critical velocity is called as streamline flow son remember stream The line flow is a very smooth flow Smooth, very precise turbulator velocity of Fluid in streamline flow is gradual increase if the velocity of a fluid in Streamline flow is gradually increasing true that it is greater than critical velocity then the flow suddenly became irregular and unsteady Cold Edge Turbulator Bullent Flow viscous force and viscous drag viscous force and vikus drag speak the tensile force which acts Between the adjacent layers of fluid beta Have you ever seen a drop of honey like this put it on the plate and tilt it like that If it goes downwards then you will get a bulge like this You will see where the bulb came from that ball came from is ok because the layer which would have been isn't it fluid that they are on top of each other force exerts in the opposite direction who opposes its motion That's why the velocity is layer to layer The top one is increasing The layer will have the highest velocity The bottom layer will have the lowest velocity That's why he becomes such a bull that he can see the tens force ch act between the adjacent layers of Fluid The system which opposes the relative motion between the layers is called as vikas force Clearly and absolutely sure, now what do you see for yourself? Newton's Law of Viscosity is what to look for Newton's Law of Viscosity is Very Important tell me what is very important Beta for a Fluid in Streamline Flow for a fluid in streamline flow etch Faster moving layer of fluid etch sorry etch Slower moving layer of fluid aethers Whisk Force on Each Faster Moving layer of fluid which is directly Proportional to the first area of layer second Velocity Gradient if a fluid flows along a sheer line then every slower moving layer is in every Visceral force on faster moving layer applies depending on which First area of layer second velocity Gradient so f is directly proportional to a f is directly proportional to ta and ta is proportion t constant also cold edge co efficient of viscosity to What will you get from here fd6 / a f/a/dx6 up a sure so co Efficient of viscosity is asked What did he say for two marks in March 2023? has to define the efficient of viscosity How to state SI units and dimensions? will define the efficient of viscosity is defined as viscous force per unit area Unit Ver Offs on Off Layer Radiant co efficient of viscosity is Defined edge development force per unit area of Unit velocity on the layer Gradient development force on area of layer Unit velocity great equals SI unit is newton second per meter square dimension What do we call l-1 m1 t-2 CGS unit? what do you say about it poi next now comes stroke law what are strokes Ga Visker first acts on a sphere of Radius r falling with velocity v in a Fluid of co efficient of viscosity ta is directly proportional to the first radius of sphere second velocity of sphere Third co efficient of viscosity of Fluid so f is directly proportional to r f is directly proportional to v f is Directly Proportional to Task F is proportional to ta rv6 pa so what is f 6 pa what is r f 6 I am sure you will say this also sir There is Wisk Force, the one before it is also Wisk There is a force, how will we know? How will we know? You will know which force to apply and when So remember, if you are between a layer of fluid If you want to remove the whisk force of viscous force between layers of fluid If you want to find out which formula, Newton's law of viscosity if a body is a fluid If I am falling then the fluid will not fall on that body How to apply Vikas Force Buy strokes will come out and buy stokes will come out. Clear, absolutely sure, the body will grow Further asked for three marks in March 2022 This is a very cool concept Shar Terminal velocity of body not falling through fluid is very solid son pay attention meditation consider a spear a sphere of Density sigma consider a sphere of Density sigma falling through a fluid of Density row is the coefficient of viscosity ta not the sphere falls down initially its motion I accelerated after certain interval of time time it at a constant velocity called Edge Terminal Velocity when the sphere falls into the fluid So what is its motion for some time? Accelerate means its velocity is changing After some time it reaches a constant velocity achieves what we call terminal Velocity sure why this happens is the equilibrium position because upward force And on whom the downward force acts balance is reached and when the sphere is in given position it is acted upon by three forces the first wait as in downward direction second up thrust in Upward direction 3rd whisker force in How does the upward direction viscous force act does the opposite to the motion so if the ball goes down Where is the sphere going then Whisk Force? will Above sure when the sphere is falling through the fluid beginning its motion is accelerated but after certain interval of time t it start falling with the constant velocity cold edge terminal velocity clear so the The sphere is in equilibrium total upward force will be equal to total down word force who is upward force u + f up ths plus whisk force what is going down wait chal now thrus formula ro v g bolo daily Volume of Solid Density of Fluid acceleration due to gravity 6 pa just read strokes law w age is sure but what is mass m density n volume to sigma * v these capital v Is it absolutely certain? Oh yes or else this Sigma If I go there every day then minus every day vg-30 4/3 6 down r s g si - ro 3 2 so v what mila 2/9 r s g sima - row up This is the expression for terminal velocity of body not falling through The fluid is clear and I am sure it is no hai that no ok Now set formula for critical velocity in Term of Rain Number was asked in March 2022 Asked in March 2022 Bow the flow of a fluid wether it be Streamline Turbulator Shea with the Help of its velocity the flow of a fluid Weather it be streamlined and turbulator shut with the help of its velocity the velocity Beyond Which Streamline Flow Gates Converted to Turbulator velocity it is given by the formula vcd.com what will you get from this v s roadie up Now remember this, it will be useful for MCQ RAE Lesson 1000 followers which is your stream line if r a i greater than 2000 fruits which one is yours Turbulent If 1000 is less and 2000 is your flow Remember unsteady, son, remembering will be useful keep this equation absolutely clear Continuity What does the equation of country say? particles of a fluid moves faster than Particles of fluid move faster in narrow section and slows down in wider section ok equation of continuity in our day to day life We use it many times in life Have you played Holi? While playing Holi, you Friends are throwing water on you, friends run away so what do you do, press the pipe You give less area of cross section of pipe If you do it, the velocity increases It increases clear guys absolutely sure yes and no kid guys son one minute one minutes say yes yes sir my online lecture It's Monday so I'm on La Lecher in 0 I have your de talk did not happen ok ga sorry sorry sorry sorry ga ek it was an important call ok so particles of fluid which are They move fast in narrow regions and Slows down in wider regions Correct so velocity is ever proportional to area of cross section then a e If constant a11 = a22 then it is absolutely sure Its proof is very easy guys ok this pipe I have taken it, ok, what do I say? entering the pipe late in time dt2 the molecules that are entering how much distance will they cover d1 formula what is v1 delta t hey distance it happens velocity into time correct so volume of fluid entering the pipe in time delta t is given by what is the formula for volume area into distance to a1 d1 what is d1 v1 delta d sure mass of fluid entering the pipe from one end is given by bolo what is mass Density * Volume Volume How much is the row a1 v1t this equation number one now this is for whom we entered the pipe while leaving the pipe now leaving the pipe in time delta t in time delta t Distance covered by molecule is given by bole on both sides d2 = v2 de d there the velocity will be different right are the area of The cross section is different here it is narrow here It is wide here and narrow here because of the change in velocity Going to do sure volume of fluid leaving the pipe in Time delta d is given by v2 = a2 d2 d2 in place of a2 v2 delta d mass of fluid Leaving the pipe from others is given by masses What is Density * Volume What is Volume here a2 v2 delta t by Principle of Conservation of Mass Hera Peri See, I told you in the last attack also if something is entered from here then it will start from here That much part will have to come out so m1 = m2 row row cancel delta d delta d cancel so a1 v1 = a2 v2 not asked yet board It can be asked in the exam but it hasn't been asked yet Till now it can be asked in board exams absolutely correct You are sure, you move ahead let's go Bernoulli thum Bernoulli thum correct ga ok This is a very important part of it Let me just give you the gist What does Bernoulli Therum say? Bernoulli Therum what is it saying to you What does a Bernoulli thermistor give you? Pressure The difference is that a flowing fluid is a the pressure of the fluid that is flowing The difference gives you the Bernoulli therm clear Absolutely sure to be a fluid in stream line Flow Sum of Pressure Energy Potential Energy per Unit Volume Kinetic Energy But volume is always constant now To remember the Bernoulli Theorem you can use three step ya or put three what are the steps son first work done by fluid Pressure Work Done by Fluid Pressure Seconds Work Done By Conservative Force Work Done By What is Conservative Force? What is conservative beta minus delta Mine day means change in potential aging What is conservative minus delta y means yat mine yav means yav will become yav mine Y2 work done by conservative force and third what is step beta work energy what is the third step son work energy thermo third step what is work energy Thermal work done is change in kinetic energy How much work is being done Work done by fluid Pressure work done by conservative force will BK2 my cave just these three steps now this What is work done by fluid pressure? What is work done by fluid pressure see to bring q from p to chase it from here to here and to bring a from a then work done in displacing fluid from p to k plus work done displacing fluid from r to s You have to do these three steps, check them Work Done By Fluid pressure work done force into distance what is distance v delta force what is the distance v2 delta The reaction of a correct action is therefore force took negative a11 a22 b na force to pressure into area pressure into area is absolutely certain now From the equation of continuity a11 is then delta t is constant if it is correct then I will call it mass density in Volume to Area into Distance don't cry here at all if it is so then what will I get from you then what is constant so should i replace it with p I can write m baro as m baro constant what did you get p1 - p2 just work done bye Conservative force told this mg1 - mgh2 mg1 - h2 work energy theorem also tells Given here 1/2 m common v2 s - v1 s now Ye put kiya multipla th ba ro to ro ro cancel ya but I cried ya but I cried Dividing thud by mass am will be cancelled Proof that your answer has come Proof that it is gone your answer has arrived Clear, very sure son, just one minute what time should I drink water Equal Son, let's move on Now surface energy has been asked in the board exam Check me out what is surface energy it The Potential Energy Stored Per Unit Area of liquid surface under isothermal Maintaining the condition is the potential Energy stored per unit area of a Liquid surface under isothermal conditions What is surface tension? It is force per unit length acting at right angle it is force on Unit length acting at right angles to n Imagery line drawn on the free surface of liquid it is force per unit length Acting at Right Angle on an Imaginary Line Drawn on the free surface of liquid is If the surface tension is cold then what is the surface tension is force upon length Equals SE unit Newton per meter dimension l0 a1 t-20 m1 t2 now molecular theory of surface tension theory The answer is written on the board, you can give it to me You will get these notes, I am explaining it hmm what is molecular thri son look and listen I have a liquid that is liquid I considered three molecules A B C Whose spear of Ilus sh in figure now Molecule A is completely inside the liquid then on top of it in every way what is the act of cohesive force so the net fars from here also from here also from here also the net force acting on the molecule He is zero, that's why he stays where he is of molecule b is a small bit of molecule b where is he bringing his share in the air There are two forces acting on top of a cohesive force Downward due to liquid molecules Second Adsu Fares Upward in Direction now because of the air molecules in the direction tell me the odd force of air molecules will it be more or the cohesive force force so it is acted upon by net Cohesive force in downward direction same case with si half in air half in kiss If there is something in a liquid then it is called liquid molecule Due to cohesive force in downward direction cohesive due to air molecules in Force Upward Adsim Force Upward What will be more in the direction hey air the molecules are already far away No matter how much you apply, it will not become cohesive Force Net Cohesive Force What Act Again if it happens in downward direction then the surface All the molecules present in a film What first act applies to all of them, net? In which direction does the cohesive force flow down? in word direction because of which one one molecule one molecule one molecule where does it go it shifts down whose Why does your surface start to flame? it starts shrinking because it is very If it cannot shrink much then how? Acts as a stretch elastic membrane So the remaining molecules are one over the other and apply force that Baba this is gone don't let go of my hand leaving don't leave no where it acts as A stretch elastic membrane under tension Cold Edge Surface Tension Cold Edge Surface The tension has been lifted brother who will take it Bhaiya it is clear son it is very sure Surely we should move forward and obtain relation between surfaces Energy and Surface Tension Obtain Relation Between surface energy has been asked son check Tax month 13 month 23 lot for two mark It's easy son, very easy, you will go a little fast pay attention what i took i took a Rectangle Frame Of Wire Liaison frame of wire a cd ok in which wire The CD Can Slide Over It Without Anyone friction i took it soap it dipped in the solution and placed horizontally because of which a soap was applied on it has the layer come sure it is absolutely sure now if the soap The surface tension of the solution is t and that of the wire If the length l is correct then a force on the wire The action takes place due to the surface tension which Who pulls CD towards A? Because of which its area of cross section what happens, how much force decreases f e 2l Sir, I am telling you where did this f e 2l come from who is the formula for surface If you send tension f ba up then what will you get t well because this is a soap solution right How many films are made, two becomes A 2t understood should I change it to a better one Don't be confused, the child will say, Sir, if you say it some more this is A this is B this is C this is D what is your answer according to sure absolutely sure in order good correct if t is the Surface tension of soap solution and l is length of wire than a force f e 2t acts on wire sad which tries to pull it towards an in order to decrease its own surface Area correct in order to increase the surface area of flame we apply a force f' of Equal Magnitia to c-d by small displacement dx2 t * d remember this is for soap solution Who is the soap for? The solution soap develops and forms two foams For Ordinary Liquids This works in the form of surface energy to get between surface energy a surface relation between Surface Energy This is clear, it is absolutely certain that no ok prasant sir talk for a minute or two will do it to you hello everybody is going to cafe no ok so think guys just now I am thinking chapter It is working too na saray so chapter two is on right now and you know No ok so now watch chapter two kids These are the biggest chapters of four chapters is equal to is sir because sir i thank chapter two itself surface Tension and this were mixed together, there is one more There is chapter one, in that also two topics are mixed Now think about it, the chapter is very big That's right friend, yes Mal Shambhu Haniya prerna vedashree Jahanavi Rajaram what's the matter everyone Sawari Aditya Are you enjoying it or not, I am enjoying it for once Red Hat Quickly turn the entire chatbox red Number one brother, I am having a lot of fun, what's the matter hai sir jina And yes I am telling you guys a very I am going to tell you a more important thing that tomorrow at 10 in the morning for two marks and Your questions are worth three marks, right? All the brothers are going to end, both are teachers We will be together and remember no matter how many These questions will come in your board exams, right? A lot of those questions are for you guys. If you are going to be stuck because of tomorrow's session then today You should read this entire chapter carefully tomorrow. Provided you with the solution to the question It will go, it will be a big thing, brother The planning of NE is different today Think about making the 14th a Physics Day Now tomorrow on 15th and 16th there will be an explosion brother no it is right if not yes yes yes the whole syllabus will be finished brother Complete Syllabus Hey I feel this year we People are reading this for the fourth or fifth time Once upon a time in the final blow at MHMR Life is a batch brother, how much focus is there in the batch It's the fifth time BK sir is saying that I keep repeating the same topic After reading sir the kids say our paper Write the syrup two okay let's I thought kids would have a Sir, till I recite a poem, have some tea Will you take it, it's a motivational body friend, such a fat I don't even know, you know, today Anyway, I am going to stay with Sir. yes sir, I left in the morning 6 come on o' clock should I tell you the notes or not sir Where can I find it? Yes, let me tell you that first. Brother, I will give you the notes, look at them same here look at this place You will get notes, keep this in mind New Indian You guys download Era app and click here you guys will get the notes okay so you People please pay attention that as soon as this session is over then its complete pdf will be there after You guys will get the session and that too Do you guys know where the final blow is? Inside the New Indian Ra app in the folder of If you go there you will find a Physics folder You will get the complete notes of this there. it will be ok don't worry it is done You can download the full PDF from there can you okay now yes a little bit no a small Let me recite this poetry, I have started craving now Now I have started craving for my destination that I'll throw myself into the fire, the stumbling blocks say I will be killed, the stumbling blocks say I am killed My courage says we will see what happens It is there, isn't it, it is a very amazing poetry The entire fire emoji should be visible Bhai is in the chat box, it's awesome wow wow wow wow Gausiya s wow wow what the thing is i don't even know this i don't know this group I found this Shayari and I posted it here we will give it to you i also don't know it ok so what is it sir yes it is so cool by the way saari is already applied Now, in order to achieve my goal, I will throw myself into the fire Now the yearning for the destination has set itself on fire I will throw you down and kick you, I say you will be killed The obstacles say that we will be killed, but courage says so we will see what the matter is, it should be the same This is the right passion, someone I am saying sir The lecture should not stop, yes we are We have mitochondria, which are full of power All ATP is found inside our body The whole world has gone oh brother please have some tea lets drink it I came to know about yesterday while Sir was teaching, after reaching home Lecture is over then you guys think about tomorrow If the lecture is not over then write the paper again It's ok to think on your own, that's great venkatesh says sir where can I get the notes venkatesh bhai notes same new indian ra app inside here don't go here children You guys can still download it till then, don't wait Do it guys go and download it then Till then sir have tea as well and you all can download this Go and do it and download it there. But you will find the formula sheet important. Numericals pdf and there is no Lots of my old notes to you Old notes will be available free of cost and one more important thing for you is that You will also get important questions So go ahead and take a quick look at this, okay? Don't take tension, go and download it quickly and There you it will be okay and the child who has done anything You must not have read it brother, that kid too is in session you must watch it because at the end he will get something Then it won't be a year, see how many we will get, son I will also work hard BK Sir, teach SM Sir, please teach me or our chemistry Teachers may give you some really weird things We will not give our 100% but we are giving it at 200 but if you guys put in hard work You won't do everything if only with me You would expect that Bhaiya would do everything Now come and write our paper too, then I will understand You know that this won't be possible for you again Pay attention so you too give your 100% padega watch is really very BK sir is saying the right thing You have brought the morsel to your mouth, now chew it less From At least you guys don't even have to chew Is it correct or not so you should pay attention to this It is ok to give So let's understand all these things and some more say from chat box good inside children how many children people cet After this how many children are you going to give CET are going to give how many children can whistle Now whoever wants to become an engineer As far as I think it will give to the one who does not he will not give common How far have you taught me sense, come on sir, open your eyes I will take it later Chalo the formula sheet is not opening hey Son, you will try to return once please refresh it and do it sir increase the speed, yes it's ok son speed I know that I will increase yours too It has happened after studying but how can we say it And there are also children whose needs also need to be fulfilled and look how few days we have left If yes, then explain it to us properly If we have to give then that's why we will give a little Are you running at a moderate speed or not? not too fast Come on sir when will the break come, this is just a break son Sir, you guys should also have tea. Go quickly, since morning you are very busy All the kids are mostly recording Looks like it will be seen and share it quickly Fast and famous among all your friends Yes, remember the board exam on the morning of 17th at 6 o'clock same [Laughter] BK sir says he will make the paper also sir don't reveal so much It was ok sir lease this was a bit too much It was a bit much Sir ok ok guys little son came out in the morning I am here from 6:00 ok and continue at 3:00 I have a lecture till o'clock so take a little break Eating is necessary, okay, and take energy too you shouldn't feel like this Sir you are tired ok Fine yes sir this has come a long way just went correct hey that chapter is over ok so that's it Happened Gauss Relation Between Surface Energy and Surface Due to tension many new medical problems arise Those who have bubble break and colic are now paying attention two good ahead next i angle of Contact and its three possible cases are very I will explain it quickly, what should I take The angle of contact occurs whenever a solid If it comes in contact with liquid, you on the free surface of the liquid yes if you apply any tension on the surface of the liquid Are you making eight? Okay. So who made the angle? The angle you have on the surface of the liquid is Tangent was created and whose surface is the surface of a solid Where is it and how is it in contact with the liquid You will measure that angle inside the liquid We talk about angle of contact when ever a solid is in contact with the liquid the Angle between tangent drawn on the free surface of liquid and surface of solid in Contact with the liquid measured inside the liquid is called as angle of Now whenever a liquid comes into contact with a solid comes in contact ok and if you have a Liquid Molecule Considered Solid liquid interface at whose sphere of This is how influence shows up on your board then at that time How many forces act on the four first nets because of adus furs solid molecules which Net cohesive surface goes inside the solid because of the liquid molecules which are present in the liquid Net Adsim Fars Air Because of the molecule which is negligible and gravitational force according to the weight of molecule which once again what is it Now if you give me negligible then who is negligible? Survived two Adsim Force solids because of Now these are because of the cohesive first liquid Which floor is more expensive among the two? angle contact based on the floor being less There are three types, one acute and one obese Zero Degree The first liquid that binds with a solid surface we partially weight the example Kerosene In them net ad sive force a bar due to solid molecule is more than s to net cohesive force a bar due to liquid molecules which are resultant There is a force that goes inside a solid bar because of which your liquid is he creeps downwards and what creates a concave meniscus angle of contact is acute angle of contact is acute check Do this, this is more, this is less, it is resultant inside The liquid creep down this tension which you Made equal to an acute angle correct in case of liquid which partially wets the solid Surface Example Carogen Net Ads Force A Bar due to solid molecule is greater than Net cohesive force a times due to Liquid molecules are there for results Force a bar acts inside the solid due to wich liquid creeps down word forming a concave misc angle of contact is Acute such liquid case okay now liquids that are solid Do not wet the surface at all Example mercury example mercury shore their case What happens in Net Cohesive Force Due Two liquid molecules have more edge Compare to other forces so resultant Where does the force come from inside a liquid? Meaning this is small this is big so resultant force came here which caused liquid creep is upward forming a convex meniscus angle of contact is or in case of liquid which do not wait the Solid Surface Example Mercury Net Cohesive The force due to liquid molecule is greater than net adds more due to soy Molecules there for resultant force acts inside the liquid here inside the solid there is inside the lidder liquid creeps upward or downward forming convex mix or concave mix angle of Remember me by contacting me till date Stay tuned for pure water and clean glass I have very high net advers force coupled to the force which resultant There is a force, how does it act along with a That's why no one becomes a mincer Does not form minks so no taint is formed hence the angle of contact is degree clear absolutely sure next Part Access Pressure Inside Liquid Dipped What would I say? Consider a liquid drop off Radius A with inside pressure p outside Pressure Pump Grater Pump Grater predrer draw Expense A It Volume and Its radius increase u r plus Delt Shar Access pressure equal to p minus initial area what is 4 par scr final What is the area A 4 Pa Now what is the radius aa Plus Delta Rl R Scr P R Delt R Ps Delt R what will i get 4 pa aa sp 8 pa ade a p 4 pi delta a sk sin delta Aa is very small oh no matter how big it is will radius there for delta a sk is Neglected So this whole term is over so late Four tell me a2 what did you get son 4 pa aa s p 8 pa aa delta aa to increase in area increase in area t a2 my a1 bol 4 pa aa s p 8 pa aa delta aa mine 4 pa aa s it went it went so how much did you get 8 pa aa delta aa sleep absolutely sure work done in increase in area of o is given by bole son speak speak speak d=t nadi just read it then d iti what did we get 8 pa aa delta aa equation Number One Butt work done in increase in Radius of Bubble Ray Off drop i given by bol beta bol d e access Force into placement means increment bol Can huh but what is access force force pressure into this area it will be accessed pressure into area Son so what did you get access force? pressure means what is the mine water area 4 Paa sto chal put kar sedir di access In place of force minus pun in fo pa r squa in delt R I am sure that the body did not survive take hello hello sure equation number 0 also Kannan Bol From And what will you get, speak speak speak in 8 paar Delt Are Equal to p minus pun in 4 pa R [ __ ] delt to pi pi cancel delt a day castle aa cancel So this will be 2t bucket in mine pan in aa to p mine pun i 2t up come on very sure son let's start this for a minute son one minute camera battery Tender Battery For so bubble if so bubble to p minus pun what is it beta 4 up aa 4 means if there is t here then it will be 16 If he is a relative then why not and it is very clear that he is a true son Let's move ahead, now what happens when we talk about capillarity is capillarity first of all what is a capillary has it is a thin glass tube with a very fine bore it is a thin glass tube with a Very fine bore bore means thickness sure the The word capillary is derived from the Latin word capilla capilla in latin means here ok now What is capillarity the phenomenon of rise and fall fall the phenom of rise or fall in the level of Liquid Inside a Capillary: The Phenome of Rise and fall in the level of liquid inside a capillary when it is dipped in a liquid is called edge is called edge capillarity sure now its application ok water rise even to the top most leaf in a plant due to capillarity water rise in the surface of rock Due to Capillarity Blot paper absorbs in due to Capillarity Oil Rise to the Top of the Wick in A spirit looms due to capillarity are oil How does capillarity rise to the top of the wick This weathering of the rocks would break apart the water rises from the pores through the capti Agent of Transpiration Pool Plant no how does it happen Cutty Shar is very sure now this liquid mustard or fruit kiss This happens because of the pressure difference, son. From which direction does the pressure difference occur? Now let's understand one concept and take two notes on one thing. remember those two notes Pressure, what are you saying son? Pressure Now Concave Surface is Greater donation Pressure below it Pressure Now Concave Surface Gutter Pressure Burr means pressure above the concave surface there is more than that in the cup below it Pressure now end Below the Plane surface is equal pressure now below the plane Above and below the surface equal play surface what is the pressure equal now only please explain it to me very well what did i do i took a container this container I had water in my hand and I put my capillary in it what did you do, you dipped it, please pay attention give it when you dip it I said ok so pay attention consider capillary dipped in a liquid which partially wets its surface forming a concave minuscule edge shone in aba figure now i have four point here I take how many point four a b CD A & B Above and Below the Concave surface c andd now and below the plane surface come on tell me is it on top of a concave pressure at point a will be greater than pressure at point b a on pressure b from region note one pressure will be more now concave Surface is greater than pressure below this equation Number One Equal good chuck and c both in air then pressure at point e pressure point sea atmospheric pressure equal son don't come my child is not Good ahead pressure at point see pressure point region ntu pressure now a below plane surface equal equal so from here the pressure at point A will be equal to pressure at point d from u end 3 equal so late for bole son it fell in place of a Write pressure at point d e greater than Pressure at point B means pressure outside capillaries are greater than the pressure inside them for liquid rush inside the capillary to Maintain pressure difference due to chuch liquid in the [music] RAS Why does rice fall because it is made goes convex Now the pressure on B is more than on A, so the pressure There will be more here than outside If it comes out then the result is over, this is the concept This is rice followed by fruit clear guys At once a very sure son Here is the complete answer in the format You will get clear guidelines sure last good its a slide by mistake It got deleted is the rise of liquid in capillary that rise of the front part of the liquid in capillary same hai kya consider consider liquid consider Capillary of radius a dip in a liquid vi Surface tension t density which partially waits it surfaces due to which liquid rises in the capillary by height h ok when Capillary is dipped in the liquid or a furseal to surface tension acts along the walls of the capillary let us ry that force into two component vertical component t k theta horizontal component t sa theta horizontal what does component t do to everyone balance and Is the vertical component responsive So Total Upward for the Rise of Liquid what is force so let as the next pat said I have seen the whole thing Lettuce resolve this force into to Components Pala Vertical Component Cos theta equals b second horizontal component Like Equal Horizontal Component sine theta Cancel out balance Other The Vertical Components This Responsible For Rice Off Liquid barab beta soder total upward Force will be equal to who is going up how was it going from one place the whole way say into circumambulation Farence is equal to son so this will be t cos theta in circumference I mean good total down word force what hoga weight of liquid weight means as a mean Everyday means Passport h volume off Cylinder sure now for liquid to be in Equilibrium Total Upward Force L B Equal too tall downward force ye upward force ye down word force pi pi cancel r aa cancel so 2t kth = row r age so h kya will get 2t kath/ro r g [ __ ] clear Guys one minute ok clear Guys ok guys grow up so this complete a chapter mechanical Properties of fluids: 5-7 minutes it's done no problem next Katie divided into two parts of small meat Mas kaam first part KTG Th This is the largest container of our company Derivation from its derivation expression for Kinetic energy followed by the radiation Maximum put definition is two big answers a furry black body with a burst of radiation moving forward quickly Let us consider an excerpt from the Kinetic Theory of Gases. I have asked this many times before, may get two marks There are four ingredients to write for a gas consist of large number of tiny molecules these Molecules are perfectly elastic Spur of very small diameter sure the force of attraction between molecules of a gas is negligible in case of ideal gas it is Zero is now random motion these molecules are in a state of Random motion that is moving in different Direction with different velocities called edge Molecular case during motion molecule colloid with each other and also with the walls of the container means during its motion Molecules also collide with each other and also collides with the walls of the container What are both the collisions perfectly Elastic collision means kinetic What is the energy before and after? conserve remains sure between to succeed Collagen molecules in a straight line path called as free path where two molecules are in State of random motion average number of molecule in a given volume is always Constant sure average kinetic energy of a gas molecule is directly proportional to the absolute Temperature these are your points which I told you I told you clear guys, absolutely sure, any four You have to write a three mark excerpt like this There is no two marks for the can come forward increased I have seen this very noise pressure derivation I've taught you many times, okay noise So you remember its steps the most First momentum change in momentum time interval rate of change of momentum force in X Vaj Direction Pressure X Vaj direction total pressure seven steps i Do you remember whether it is written in the final stroke or not? We had also done the revision of Maharashtra's death I also did a save, remember that no the sound is not off son it is working Sound child voice is coming Yogesh masti no son are you able to hear the children's voice or not yes my sound is a little off sore throat son it's been three hours continue yogesh why should you turn off the sound he is coming brother yes yes I am doing the complete derivation don't worry Son Tender Komal son, please get some hot water in a minute hot water my throat is completely hot Let the Water Grow If you move ahead then choose the right one or give the right one Part considering a fixed mass of gas Enclose in a vessel of an enclosed cubicle side of the vessel l then let m be the mass of the gas small a mass of each molecule capital n number of molecule okay so capital m will be small m * capital m small m * Capillary Let a be the surface area of each surface a is l slate v be the volume of the then v = l is the let r density of the container gas so what is it m/v shaar wrote this Now what do I say hoon let v let v1 v2 dot dot dr dr v a b The velocities of n number of molecules let as resolve molecules at the velocity of etch molecule into 3 much q because those three can you run in direction three Mutual Perpendicular Component Along X Y and z Axis sure ok so there for there What will you get for four? say v1 will be equal to x1s + y1s + z1 The resultant of three components v2 s = x2 s + y2 s + z2 s dot dot dr dot ga direction of velocity to momentum of molecule after collision is - mx1 to change in momentum will be - mx1 then it is -2 mx1 Considering Magnitia so late four times i icktu once two twice What is the distance of collision between A P A 2 Na Hey, this one went from here and came back after colliding with this arrow what is the velocity x1 absolutely sure next one to newton second law of motion force is rate of change of momentum then f1 will be rate of change of momentum means change in momentum 2m aqv up time kitna hai 2 up xv to cancel so what did you get m aqu s up a1 went up, now what will you get for f2 mx2 s up a dot dot dot dot f what I will get a son i am a stand up force in action direction i given by f will be i f1 p f2 p dot dr dot dot f lyrics m xv sk up a ps a xt sk up a p dr dr d dot a x sk up a chal to f What will I get from my son? This is a common man. xv sk p xt sk p d dd x Scale similarly a b Similarly and here comes our biggest Enemy Hemant Sir, this man only wants that If something happens to me I'll tell you the remaining water it's so hot g ok similarly no no I am just having fun I do it he is very good boy Hemant, no more, no more, brother my throat is full Is My kids are asking for a break even for a minute don't take it sir keep teaching, everyone is saying yes If you are empty handed then quickly take the money and go back too become normal or ls come on tell me ls what is the pressure pressure is equal to force upon area no what is the pressure son so late for px1 s + x2 s p dot dot dot xn2 what is your a l s come on down then p how much did my baby get m ba a k x1 s + x2 s p dot dot dot dot xn2 shar tell me similarly son what will I get p p will be m ba a k y1 spa y2 spa dot dot dot dot y a sp j what will get p j m ba a k bole beta z1 s + z2 s p dot dot dr o znx4ever xv sp xt scr sp dr dr dot x sc ps a ba l q wav scr pwa scr ps dr d dwa a scr plus a ba l when jv scr pj2 scr pd dd jv [ __ ] So P itu a ba a k common 3 down 1 s + y1 s + z1 s x2 s + y2 s + z2 s xn2 + yn360 v a sc Son, but do you know what this is? Have you read the basics? I didn’t tell you the root of it. v1 sk p v2 sk p dot dr dot dot v sk ap a squaring on both side to v sk R ms v1 sc p v2 sc ps dot dot dot dot v a sk send it up then v s r ms v1 spa v2 spa dot dot dot dot v A So should I write this instead of this? if i can then p will be m ba 3l k instead pe n v a s b m * m then it happens that m up 3l If v v is equal to n and m then p = 1/3 row v r AA s this is the expression for pressure exerted by molecules of gas on the Walls of the Container the biggest derivation of your syllabus Ga clear the child said sir tell me once I have given you the complete overview ahead. what have you asked show that rms velocity of a gas molecule i directly Proportional to the square root of absolute Temperature let's go Say Leg kinetic thry off gas pressure acted upon by molecules of gases what is the container and what is the p 1 up 3 rowie s read son to 3p ictu wt i ro m baavi v a Squa equal son th toh bhij roko mass my What will be the volume? 3p v = m v m S but what is pavi aati or n aati whatever it is correct so be it four 3 aati = m v a s to v a s what will get 3r t up m so v aa a a what got root of 3rt up m very important Formula here 3r up m is what is the constant 3r ba a constant so der four v aa aa is directly Proportionate to prove Gaya Le Proof Ho Ho Gaya Clear Guy grew up very sure Next is Boyle Law, what is Boyle Law What is Boyle's Law State Boyle's Law Tell me, I taught you Boyle Law, son At Constants Temperature at Constant Temperature volume of a given mass of gas i Inversley Proportional to it's pressure equal to constant temperature Volume of given mass of gas proportion to its Pressure So and if i is inversely proportional to p then pv365 aa a what is the [ __ ] so p 1/3 a Baavi Aa send up 3 what is pvi avi a s squad then 3 bt PV will be 1 bt AV RMS [ __ ] both jugs multiplied by half what happened this energy is not equal to 3 watts What is the kinetic energy of Pavi If we take the gas down then the kinetic energy What will be the unit volume? Son 3/2 p What is the unit volume per kinetic energy? I will get it son 3/2 Volume on exact kinetic energy what did you get son 3/2 I am sure son, yes or no, let's go Let's move forward, let's move forward It will increase, but he also understood its value give me what got 3 batu pavi what did you get but what is this pavi put 3 batu at This is the value of kinetic energy. aati ok over here talking about molecule after molecule molecules move tell me what is 3 bat pavi But what is Pavi, do you know it at your place someone please put 3 pieces in it and how can i do it take the cake r ba a ko kab le It does not work on kinetic energy molecule is 3/2 kbt it kinetic Energy in Kinetic Energy Per Unit Volume Kinetic Energy Per Mole Kinetic Energy on molecule everything is given on unit Take it here for the month, my friend, that too Will you people remember this in your life? I just remember to pray in 3 what is batu pavi son but what is pavi my son a ba m RT then put 3 batu pvi in place of p a ba a r t = e m is sent down so there for What is the unit mass for kinetic energy? 3/2 rt1 m It became absolutely kissable Son, absolutely a very kissable lion I have given you all the questions, this is the answer That's all it is, this is the extra part No one should say this, sir, you did not do this I taught it clearly son, sure, now give it to him What degrees of freedom may remain? Relation where will you read this in thermo abich I will study for 15-20 minutes, wait for 15-20 minutes Wait, I will read it now, I will read it now 15-20 wait a minute Let's clear it, now what is radiation, son? the phenomenon of transfer of heat from a body at higher temperature to a body at lower temperature in the form of electromagnetic waves is called as the phenomenon of transfer of heat from a Body at higher temperature to body at lower temperature in the form of electromagnetic wave is called edge Radiation Now son, whenever you heat a body If you give then some part of that heat and the body Absorbs and reflects some part transmits some part of the Sure it is based on that, it is efficient Absorption it is defined as the ratio of the amount of heat absorbed by the body to total amount of heat incident upon it Reflection it is the ratio of total amount of heat reflected by the body to total amount of heat incident upon it Transmission it is it is defined as the ratio of total amount of heat transmitted by body total amount of heat into your clear absorption reflection co efficient end transmission then what is the total heat q p q p kti absorb reflect transmit Divide by q, cancel q and q remain. aaba's cutie ba's this small a small a small Coeff of absorption Coeff of reflection of transmission a mark's quay above it Q Can either MCQ be of one mark me or very short Any two out of three answers will be given You must have asked me to find it or given the total heat would be to find q a k r kati Now let's get clear on the black body Faeries Black Body Bolo Faeries Black Body what is it son ok ferry's black body is a Double Wall Metal Hollow Sphere with a Small archer it is painted with the black from Inside and Silver Polish Outside the Space Between the two sides it is meant to prevent loss of heat due to conduction and Convey ok there is a conical projection diametric opposite to the archer radian Enters Pair Through Archer Suffers Multiple Reflection due to conical projection Due to which almost all radian heat is Absorb Clear Beta Dim Pucca Lala yes or no mine Baby Clear Guy Shar is absolutely sure easy now define emissive power emissive power hota yes son see body after body absorbing Will it keep the heat? Hey, throw it outside too Shore: How much heat does a body emit? Its surface depends on some things What is the area and for how long will it heat up? what is it emitting and at what temperature so if I keep the temperature constant do at a given temperature the amount of Radiate heat emitted by a body per unit Unit Surface Area at Constant Time temperature at a given temperature the reddit emitted on a unit surface at unit time area by body is called as emissive power Is called emissive power to r e e q up shar mc power of body i defined edge amount of radii heat emitted per unit time per unit surface area at any given Temperature is the power of the body, it is defined as the amount of heat radiated per unit time Unit Surface Area at Any Given Temperature clear q up as unit e joule per meter [ __ ] second dimension l0 a1 t-3 a0 m1 t-3 clear share Let's also ask about the emission efficiency I have asked it twice I have asked it twice guys what It is very efficient in emission and burns quickly Speak quickly, speak it, it is defined as the ratio Off emissive power off body to emissive power off Perfectly Black Body It's a Defined Age Rashes Off emissive power off body to emissive power off Perfectly black body at the same temperature clear absolutely sure move ahead sure let's go very Important State and Proof of Kirchhoff's Law Radiation State and Prove Kirchhoff's Law Radiation Let's talk about Kirchhoff's Law of Radiation I want to prove it, tell me, tell me, tell me first tell me what is the statement what is it statement tell me Guys at a given temperature or the amount The CO2 absorption of the body is equal to CO2 Efficient Off Emission the coeffite absorption of a body is Equal to co efficient of emission at any given temperature or at any given temperature The efficient of absorption of a body is Equal to the efficient of emission means a = e Correct, now consider what I took Uniform Temperature and Consideration of Two Bodies Ordinary Body O And Perfectly Black Body Be enclosed in a uniform temperature Enclosure Let q be the amount of redit incident on both the bodies and a be the surface area of both the bodies okay well now I am writing the answer, I will write it first For an ordinary body, I will write black again of the body For Give me money, son for ordinary Body ok k i The Queue is the Mount of Heat Incident On The Ordinary Body O! donation amount of Heat Amount of Heat ab by it i given by i amount of heat nary body amount of heat ab by it i given by Tell me how much does he earn from this entire area? it is the whole tub what does it not do with that tub He knows his own heart. later q what will I get if I put these in in ok after doing so much waste Will you keep it with you or not? Do it at least is the amount of Heat Amited Bye The Ordinary body o i given by bole how much t will emit How much does a fast growing body hurt? As much as its aim power is then come in a bye Principal of Heat Principle of heat exchanger ball amount of heat Absorb amount of heat Absorbed is equal to the amount of heat emitted But what was the amount of heat absorbed? * a * q = r * a a a cancel so what is the answer got a * q = r equation number one whose is this Son, I did this for my ordinary body now for whom will you do it for black body chal bol for black body se bol if q is the amount of Heat Incident On Ordinary Body oh sorry On Black body be then amount of heat Now bye it is given bye bolo beta i given ba speak speak speak speak Say a [music] complete these Tax amount of heat Amited Bye Black Body I gave by how much his ems power is r b in a bye Principal Off Heat Exchange by Principle of Heat Exchange speak a in k i r b * a share na amount of heat The amount of heat absorbed by a cancels out q = aa b equation number to share divide by divide do 1 diva buy 2 then what will you get tell me a * k up q = r up ab k k Cancel it now Read the ratio of body power to AC power Of perfectly black body shirt absolutely sure son yes or no lala oh yes or no my baby shaar Guys its definitely mine son hello hello B come on hello where have you gone my child what to do with this battery 1 mi battery sh ok ok done na Done hello take a ride ma sa aa G Prashant sir online lecture on health yes police station mother yes mummy will give a lecture tomorrow sa ok ok ok ok b i will just drink some water Let's go ahead What does the van displacement law say next? vein displacement law Beta The Wavelength For Which Amuses Power Of Body This maxim is proportional to the absolute The temperature has reached its peak in The Wavelength For f power o body e maximum e evers property Absolute So L Prep put the props on the bed Constants The pakka has a Kelvin dimension of only 2 meters E and A GT Cave Lv Mj T0 Kew Clear and here with us Mustafa sir who is my dear friend best friend water lake I have come to take it He was also thinking that my friend must be tired I will bring tea for him, love hey ahaa sir do you have a bungalow next to you what do you say what are you saying hey let's move on Further State Stefan's Law of Radiation State Stefan's law of radiation last part guys The third chapter is about to end, the last Let's go to the part quickly, speak, speak, speak Emissive Power Emissive Power of a Perfectly The black body is directly proportional to The or Emissive Power of a Perfectly The black body is directly proportional to The Fourth Power of Absolute Temperature MC The power of a perfectly black body is Directly Proportional to the Fourth Power of absolute temperature correct guys or the amount the rate of the amount of radiant Heat emitted on unit surface in unit time Aria by a perfectly black body is Directly Proportional to the Fourth Power of absolute temperature correct sor b is Directly Proportional to t re 4 propo what is constant sigma sigma for sigma stephan The value of constant sigma is 5.67 108 Pucca Shore Unit joule joule per metre square second kelvin check re 4 Here, this is the colour, this is the joule, this is the square metre hey hat sab rkha se gog don't worry ok value Trick to remember 5 6 78 is good 5 678 Correct now it has different forms rb5 q/a so here in the next line if rv8 is written then q/a is sent to t4a So we got the value of q, we wrote t down as q /t power or rate off Emission limit at 4 for a black body what is e small e r for ordinary body / r b then what will r get e * rb2 rb1 8 = e is not equal to r rb4 correct a sent up q / t rate off did you get the imitation yes or no now if you Your black body is treated like an ordinary body If something is kept nearby whose temperature is not t then What will be the rate of loss of heat t4 - t04 On top of this you will find the base Sure son, this is a complete hour for sure Chapter Three Now we will start the thermo equal Three hours, three chapters are written and in two hours Let's try and wind up chapter three Do it guys, I think this is all you You will be able to sit yourself and you will also be able to eat I will pay the fine only to the extent that you can eat I won't do this to you much either, okay? And we will have a session for two hours, fine one pa I take a break of just 5 minutes and we'll start again okay ga pa minute Thermo Ocean Super Position One taking a break Let's try to blow in the stretch Pa minute break Whistlers don't do it, don't tell Komal just sham come on welcome back guys let's move on now Let's get to the whole theory of thermodynamics I am telling you the chapter guys right now What are we going to do inside? People will see degrees of freedom first First Zero Law of Thermodynamics We will look at the Zero Law of Thermodynamics we will see later What is the internal energy then degrees of freedom okay after that what is heat What is work after that first law first After Law, What are the Relationships of Men and Women? After the processes of thermodynamics then Second Law Heat Engine Refrigerator Chapter wind up correct it will flow fine I have to try myself in half an hour I know you won't be able to do it in half an hour I have to try to correct it, sure, let us go begin fine so thermodynamics thermo ka What does thermo mean heat dynamics means motion so it's a branch of Physics which deals with the motion of heat okay There are two things in it: system and What is Surrounding? Surrounding accept excluding system whatever what is all that is surrounding me Everything else except the system What is the surrounding, it is absolutely certain now We will move ahead with the process, first you will read it is zero law what do you study zero law is good Now read the equilibrium and find different linear What is Equillium When the Net Furs Acting on the body is zero when the net The force acting on the body is zero more than the The body is said to be in linear equilibrium fine when the total torque when the total The torque acting on a rotating body is Zero than the body is said to be in rotational equilibrium so sir what is thermal equilibrium It happens that many teachers tell us that If the temperature of two bodies becomes the same, then they is in thermal equilibrium the teacher is not wrong this answer is right at 99 but we are using thermal We will not make Equi Ebium thermal like this what is equilium son when when The macroscopic property of a system Sir What is meant by microscopic properties? pressure volume temperature number of moles this when everything remains constant then bodies are in thermal equilibrium or when the interaction of two bodies There is no heat exchange between two There is no heat exchange between bodies then where do the two bodies fit in It becomes clear immediately in thermal equilibrium Sure! sure I have seen this, I have seen this, see this We have just seen this, Sir. If not between two bodies then this example See this example noise, I have made an isolated I took the system and what did I put inside it Gas isolated system means which one? These are walls, which are the Ediya Betic walls? It's a wall, son, which wall is Ediya Betic? son adia betik adia betik bol is this what does it mean whatever gas is inside whatever gas is inside can its heat go out or not The heat from outside can come in, otherwise its The temperature is going to remain constant Constant Mean Volume Constant Volume constant means pressure constant so some If there is no change then the gas A is in thermal Equillium with whom surrounding because there is exchange of current in it and surrounding It is not happening, let's take another example the one below now I took two gas this a this b which wall is this again edia betic wall is my child which wall is ediya betic wall is edia betic wall is this gas a this gas b sir tell me is it the same gas only one heat will go out not the heat of a but of b I will not go, which means the temperature of a what is the pressure volume going to be The constant then a is in thermal equilibrium can you speak with the surroundings of b the heat will not go out the heat of b will go into a Otherwise what is going to be the temperature of b constant then b of temperature pressure What will be the volume of all three? If b remains constant is in thermal equilibrium with the surrounding a There is thermal equilibrium with the surrounding b also There is thermal equilibrium with the surroundings so from one and two can i say that a and b are in thermal equilibrium sure but what Here the temperature of A and B will be the same, right? no no no it is not necessary for you to be clear The question may come can two bodies at Different Temperatures Be in Thermal Equilibrium with each other justify your answer yes to bodies at different temperatures can be in thermal Equillium and this is the example of his You will get full marks for hitting on the face Absolutely sure now let's come to zero block kiss but come to the Sarol Tell me when two bodies A and B are in thermal Equilibrium with third body C then A and B are also in thermal equilibrium with each other When Two Bodies A and B Are in Thermal Equilibrium with the third body c then a and b are also in thermal equilibrium with each other Surely, we will definitely talk now Let's talk about internal energy Internal son now tell me about a system What is total energy, sum of it Kinetic Energy Potential Energy and Internal energy Internal energy means Now there is a body at the molecular level Kinetic energy is generated due to because of its motion it has OK potential Energy is generated due to either gravitational or electric field Because now in thermodynamics what we Do the systems consider that system? It is not in motion, is it in the air It doesn't happen, it happens on the ground, right? Potential energy is also not in zero motion means if the kinetic energy is also zero then it is one The total energy of a thermodynamic system What is its internal energy, we will agree well internal energy means whose molecule then what else would the molecule have in molecule motion means kinetic Energy is good, a little bit so force of attraction is potential energy and what are molecules that vibrate Vibrational Look here it says Energy Its clear now now listen to me the molecular force of attraction between Molecules of gas are absolutely negligible And what happens in the case of ideal gas If it is zero then even the potential energy will be neglected gone good gas molecules only When do they vibrate when their temperature ATP increases at higher temperatures But this also went, this also went, this also went if this also goes then the total energy of a The system is nothing but its internal energy and that is nothing but the kinetic energy of The molecule will not bend, it will never bend no i understood it very clearly, let's go now listen to me listen to me further degrees what is freedom son it is the number of individual term in the expression for Kinetic energy of a gas How many in the expression of kinetic energy These are individual terms, what does it tell he has degrees of Degrees of freedom is the number of individual term in the expression of kinetic energy of a gas now if I take mono Let me talk about atoms, mono atomic gas means Helium Neon Argon Krypton Xenon Red On there is only one molecule, that molecule or then it will either run in x or it will run in y If he runs in z then he will have three energies is linear of a linear of wa linear of z well now that one molecule on its axis It will also rotate and when it rotates then this will come its equal amount is rotating so sir Rotational kinetic energy will also be equal I am speaking what is the rotational half i omega [ __ ] what is share half aa aa s omega sch come to mind i.e this is good now What will be the radius of the molecule of If its square becomes smaller then sk got neglected aa sk got neglected Meaning if there is total neglect then Kinetic The energy of rotation itself was neglected Neither there is rotational concurrency in mono atoms If it does not happen then the kinetic energy Three linear expressions have come in the expression one two three So what are the degrees of freedom? Three, one, two three sure now if you talk about dye Atomic gas means hydrogen oxygen nitrogen all this h2 o2 n2 extra ok Here it is, hey show me that dumbbell dumbbell like that so that dumbbell means a That molecule will run in x and then in y and then in z So three linear is confirmed well now my understand that this is a dumbbell right so if that y is rotating on axis if it is rotating on y so now r is bigger if it is rotating on z then again r is larger but if it is at x it is rotating on x means it is rotating like this It is moving like this which means it is very small hey look it will rotate on y like this on z like this it will rotate correct na and how will it rotate on x don't correct it like this son this will be his r so again r so If neglected correct then its rotational x is not x is not rotational is rotational just There are only two y and z so three are linear and two are rotational three linear two rotational three linear two Rotational Omega [ __ ] equals son noise then there is a friend in it How many degrees of freedom did you get? 5 How many degrees of freedom did you get? 5 Next up is for Poly Atomic Try no what does poly atomic poly atomic mean o3 ch4 so2 so3 correct ok here is the molecule see ok check it linearly all three are good rotational this r for y for z this and For x, these are all three, so three linear three rotational three linear three rotational three linear three rotational three linear three rotational so how much did you get son how much did you get Lyrics ch to for tri atomic gases degrees of freedom kitna hai six at high temperature all Degrees of freedom are very high Temperature F for Mono will become 5 F for dia will be seven and a for poly will be there will be eight high temperature p eight high temperature Plat vibrational two two se d ho start now studying degrees of are law iv partition law What is this equi partition saying? Average Kinetic Energy Associated with Each molecule with each degree of freedom the Average Kinetic Energy Associated with Each Molecule with each degree of freedom is equal to 1/2 cab 1/2 ktbs.kar.nic ha b online Lecture Aman hot cha ok Clear guys for sure but ok kinetic energy is what it is internal energy and what is it saying I can talk about the degree of C after much effort If I could tell you this then What molecule did you find A Batu K A Ba K B what is r ba k what is r ba a Then th the molecule will be f but r but can say hoon for mol ya mol mol for number off If we have to multiply it by the molecule then This will become f by n by a multiplied by eighty number of molecules Now what is n ba number of moles so this Mole Will Be A. A. Batu So whose firm is this regarding internal energy? Internal A do it then What is different with respect to temperature what will i get Bolay Body I am a but a derivative and what did I get Son nf2 aa dt4 delta y will be n a bout aa delta t Shar Internal Energy only Depends Upon Absolute temperature is equal only on which It depends and absolutely temperature difference lee peppy its absolute Ok F Internal Energy E a state function which function is a state Function depends it Depends Upon Initial End final state and not on Path follow by System Short Delta Y for Isothermal Process Temperature cut is delta or cyclic [music] Same for process cyclic process All information should be reduced to zero All the information a to jud a to jud sorry sorry ga sorry sorry sorry sorry I put on the mic mike took it sorry sorry Clear guys absolutely sure ok now let's go pay it is a way of transfer energy between two body different temperature it symbol its se unit is joule common unit is calorie Calories: 4.18 joules ok remember that Heat in Thermodynamics First Heat Absorbed by the System and the heat given to the system is Taken Edge positive equals second Heat Released by the System and Heat given out by the system i Tekken S The negative part is very definite and somewhat important Remember the points and some important points remember it will be useful remember it look at me Listen up kids quickly Heat from Supplied At Constants volume is given by q = n svi delta t where cv is molar specific heat at constant Volume Molar Specific Heat At Constants Volume Seconds Heat Supplied At Constants Pressure is given bye say
[email protected] also cv is f but 1 p a weights what is a c b c p ba degree of what is freedom a degrees of Freedom will be useful in numerical so tell me Diya Shar is definitely a heat, this is our heat After this, what do we come to now, son, work is done what is work son it is a mechanical way of transfer of energy it is a mechanical way of transfer of energy work done in Thermodynamics is given by w = p Delvy w = p Delvi now son think carefully I thought using my mind and put it in a container gas was taken up and a movable piston was placed down what did you do to the gas heat the gas What is the heat absorbed gas exp Gas expanded means final volume is greater than initial volume v2 is Greater Than v1 correct na so delta v is vf2 so delta b is positive late for Work done is positive work done in expansion of gas is positive work done in expansion off gas is positive now what did i do These were removed from the bottom of the container and the weights were put up If you slide it, pressure is being applied What happened to the gas because of which compressed gas Compressed means So minus Negative Net Compression Os Native Expansion What is the native form of positive compression? Why was it the opposite in minute chemistry D minus in chemistry delvi to jo It was positive and would have become negative which would have been negative Be positive in physics and chemistry This is the difference, this is the difference, if you don't understand then remember it in Thermo Dynamics what work is done by the system and these expansion of Gas E positive equals son Second Work done by The Work Done On The System and in compression of gas is negative equal sure pretty sure good w = p delta v When is it applicable when pressure is constant Pressure is constant for graphical some work what is done area Area in Under Pwi Graph Graphical Sum Under PV graph total work done is equal to area of closed figure in a size total work Done in a cyclic process is area of closed figure also work done is equal to integration v1 to v2 p d PDV Noise Variable Pressure then how much is one doti four for work done How many formulas are there for four formulas of work done Work done, four clear sons, absolutely sure Let's go ahead now first loop first off thermodynamics is nothing but principle of principle of conservation of energy ok the The amount or heat given to the system heat Given to the system is equivalent to work Done by the system and change in internal Energy of the System Heat Given to the System is equivalent to work done by the system and change in internal energy of the system so when q = w p what is delta y var q son heat supplied to the system w Work done by the system delta or chain it Energy off system clear for sure now come in relation p prove that cp-cv=r what i say Consider not the cost of an idle gas heated at How is Constant Volume Heating Constant volume there for heat supplied to The System I Given By Just Read Heat Supply Constant volume is given by q = n sv Delta but n what is one so there for q e is s Delta Ok also v is Constant time for delta = 0 so work done kya hai p delvi so p in 0 So how much work did I get, zero by first line what is thermodynamics q d p delta y equals son q what did you get cv delta got 0 ps delta y so delta y what My baby got a cv delta t for sure Differential Beta CVD Equation Number One equation number one what did i do gas how to heat it at constant volume now the same gas let the gas be heated constant pressure tumbles it temperature rises dt4 only depends on temperature So in both the cases I get internal energy I need beans so I bought this dt8 Supplied At Constants Pressure is given by say q e n cpt1 then what will be q cpt delta t also work done at Constants Pressure is given by bolo w = p delvi but for n Ideal Gas What is Power N aati to p delvi is n a delta at Constant Pressure Volume E Directly Proportional to Temperature Volume Change if it happens then the temperature will also change, put it to sleep Then for w = p the delta is replaced by p n a delta. but n is one so d e a Delta Walk by first law of therm Dynamics First Law of Thermodynamics Lyrics w q ed p delta what did you find c p delta d what did you find Delta Day what does one say different with respect to What will be the temperature CDT RDT plus y will become y behind y what did you get cdt e edps ya what did you get tell me son what did you get thay cd par pham one shar t cancels if c = r p s then cp-cv , aa seep mine s = aa clear guys absolutely sure that's for sure No First Law of Thermodynamics Deal Follows the principle of conservation of energy Principle of Conservation Energy Gamer Vedant Gamer Vedanta moves forward Let's be isothermal The process is not going to penetrate deeply Guys I am not going to go into too much depth, everything is up I will tell you from the top because it is absolutely the last In the beginning we all were isothermal process a process of thermodyne in vi pressure of the system rem sorry temperature of The System Remains Constant Throw Out what does it mean constant so what if delta t becomes zero so what happened to delta this Zero by First Law of Thermo Speak Dynamics son if delta y becomes zero then what is q You will get an empty delta or else the number will become zero At once sure ok at Constant Temperature by Balls Law Bye Balls Law p is inversely proportional to or it evers proportional to p so pv2 definitely comes on the sure graph How to make a graph Bol graph The son curve is formed by the graph of pressure and The volume is sure to be a solid slope I am giving it directly slope dp1 v minus p Bavi Clear Sure Temperature What Internal What is energy, heat and work are the same, now let's come On whom do you come for work done? On work done asked hey do you know the work do iso process change in Volume from v1 to v2 so there four bol d e e integration v1 to v2 p d what is butt pvi n if it is equal then from here to here p what is it will get p will get n aty up v put then w = integration v1 to v2 n atti up v dvr365 Log to the Base e v12 v2 so w = n l to the base ev2 - l to the base e v1 equals son l a - l b what happens then w = nrt.ac.in lag to the base 10 v2 ba v1 this is the Expression for work done in an isothermal Process but p11 = p22 I know it so p1 I p2 will equal v2 up v1 put so w e 2.303 n atti lag p1 ba p2 lag p1 / p2 absolutely sure son sure isothermal process complete now comes adia betic Speak for The Process of Thermodynamics in which the process of thermodynamics in which heat content of the system remains constant through out to q = 0 by first law of Thermo Dynamics bol w will be equal to my delta y since q becomes 0 then w will be equal to my delta y shar also pavi re gama i constant one relation ye hai yes pe pvi i constant tha p re gamma = constant a what is the relation p1 mi gamma t re ga e also equal to cone Correct one relation or it contains numerical Pawan had come in 2024 for this up hey yes or no Lala Hey O Lala Next Next Lyrics hello re my love Constant is also a form to p If nr1 goes up then -1 is definitely not sure Son Clear yes or no, relations have come now View the graph View the graph quickly Look at the graph, son The slope of the graph is very steep See Le Slope see dpd.co.uk Gamma P bavi minus gamma p bavi minus empty gamma from It gets multiplied and the effect is absolutely certain relation graph slope all is work done Bade Shar had asked for work in July 203 change in val from v1 to v2 so later i I read Integration v1 v2 but what did I read p v re gamma i constant means k so here what will you get from p k up v gamma put kar then w = integration v1 to v2 over p on k up v Rega d Shar ke Bar will come so w e times integration v1 to v2 v my gamma d apply integrating current so w = k this will become v^-g+1/-g+1 v12 v2 take it out equal to so w = k / 1 - If we write it forward and backward then it will become v2^1 - ga - v1 ^ 1 - ga clear but to yourself We know that p1 v1 re = p22 rega e k Constant Aa Do Shar Sow = 1 upv multiplied by gamma will do it in place of p2 v2 re gamma on the side v2 rev mine gamma minus p11 re gamma side I did not understand v1 rev mine sir hey you will multiply k inside by one increase w = a 1 my gamma k v21 - gamma min kv1 1 - gamma ab k in place of p2 v2 in place of k p11 equals then Let's say w = 1/1 - gamma plus gamma minus gamma cancel p2 v2 minus ps ga my gamma cancel p1 v1 equals so this is a form it's a form but but speak pavi a aati so der for d ive upv minus gamma n aa2 min n over a is a constant so what is a constant tod e n aa delta t upv minus Gamma this is also a form of work done in an area Batik Process Work Done in India Batik The process is sure, son, go fast I am still doing it but still can't get the concept out let's move on with whatever you have iso coric process the process of thermodynamics in Which Volume of the System Remains constant through out then v constant is v constant so what is delta v Row Heat supplied at Constants Volume is given by bol q = id p delta y q e 0 p delta y sinc Delhi: This is so late that it's been a while since I last saw you How much delta y did my baby get a svi Delta A Savi Delta is sure, tell me how to get the graph my baby love Graph Pavi Graph tell me son this pressure this volume is the volume constant just means keep increasing the pressure will Slope Knot defined cue it is parallel to y axis it Is parallel to y axis It is parallel to y Axis and but naturally work is done then what is it will go son p delta v p * 0 so w how much got work done 0 It is for sure that you come to the next, tell me Isobonyl At Constant Pressure This given by bolo q e ac p delta work done At Constants Pressure I Given By Bol D I P Delvi By first law of Thermo Dynamics First Law of Thermodynamics tell me son first what are you tell me b tell me this id p delta ya soder delta ya what will you get here q minus d is the starting slope p aa slope what is slope saying before a slope I wrote the graph no speak up speak up Beta Pressure Volume Volume Increasing Pressure Constant means the graph is parallel to the x axis what is slow son what is zero slope son zero is easy Guys let's do cyclic process cyclic Listen carefully to what the process says What does a cyclic process say? lala a process of thermodynamics which brings system to its initial state a process of thermodynamics which Brings system to its initial state is called as cyclic process work done in an cyclic process is area of Close Figure Internal Energy of a Cyclic remember process is zero now let's come Second Law of Thermodynamics Second Law What does thermodynamics say, son? Second Law of Thermodynamics Actually Deals with Spontaneous and Non Spontaneous systems and processes are good These are spontaneous and non-spontaneous Where do people use more taxes, son? What does spontaneous mean in chemistry This is a process that is naturally ok if you go to get it done it will happen automatically There will be no need for noise, we call it that Spontaneous Non Spontaneous Process Meaning which you will have to get done means if you have two The bodies have two different temperatures If you keep it on then the heat will automatically become hot This will happen to you if you flow into the cold You don't have to get it done but if you Extracting hot heat from a cold body and creating a hot body If you want to throw it in then you will have to get this done, this non This is spontaneous, this is what we do refrigerator What does the second law of refrigerator say all work can be converted to heat but not all Heat cannot be converted to work completely What can you convert the entire work into? in heat but you don't work the entire heat You can make it so that some amount of heat will be wasted That's why you can't have a heat engine with 100% efficiency is not possible Make yourself a heat engine with 100% efficiency yes its clear guys its definitely my lalala sure absolutely I am sure it will be a heat engine, very good what is a simple heat engine son it is a Device that extracts heat from a hot The body does work on the surrounding it as a device Chuch Extract Heat From a Hot Body Does Work on the Surrounding and Remaining Heat where do you throw it in the sink so what is its use How to write the answer, you guys should consist of it of two reservoirs hot and cold nominally Source and sink with temperatures t1 and t2 Respectively true that t1 is greater than t2 ok heat q1 is extracted from the Source Work w is done on the surrounding end Remaining heat q2 is released in the sink Sure efficiency of any heat engine is given Buy ta it work done upon heat supplied work done upon heat supplied here how much work How much work will be there? What is the difference between these two? so work done my q1 up q2 q12 up q1 separate if you cancel q1 then what do you get q2 100 ba q1 no 100 clear absolutely sure yes That no now let's watch the last part bet nothing Butt Refrigerator what refrigerator ga what refrigerator it is a Device Cha with the hell of electrical Energy Extract Heat from a cold Body and exert heat from a cold body End inject it to the The surrounding refrigerator is one such device how to remove heat from a cold body In hot body with the help of electrical work throws it in the hot body lets see it is a Reverse Heat The engine is a reverse heat engine It's a reverse heat engine, son, it's reverse Ok At once sure ok share to you derr q1 i nothing but d p what will i get in q2 sdr son q1 mine A2 to Shar Efficient Off Performance Copy Refrigerator E Equal to heat up Rejected upon work done heat rejected upon work done rejected q2 my work done means do so q2 my q1 mine q2 but t2 up t1 e q2 up q1 so I get a formula i nothing butt t2 up t1 mine t2 Guys this completes our thermodynamics this Our thermodynamics was also completed 45 You have to give 50 minutes 50 minutes 50 minutes I guess I guess maximum and do two chapters We will get two more chapters that is nothing but osin and super position of wave maybe Our dual nature of structure of atom today it will remain let's see it's ok no problem and There are more sessions coming up guys I am a Pa I can take a minute break, son. I can take a break of I can't take a break of I can't take a break of I have to go to the washroom very urgently Yes Ram can come now Son, one minute worth one minute worth you guys too take a break eat and drink something okay come have a drink in minutes It's ok, I'm coming back too, drink some water take a little bit Sarlam Sir completely completely Does it mean the same as it was taught to me? speaking in the final stroke [music] K Sir, both of them together tomorrow of 10 at o' clock let's meet oh come on come on I have come for you Again yes pune pu kya naam hey i am also a human being please give me some rum Eat it friend continuously in offline lectures No son, if I have to go offline even for 10 hours If you will give a lecture then there is no issue, why? I know I have to pay a lot of attention to intervals offline. It takes some time for children to write Let's explain a little bit and have a conversation Teacher in One Stretch Online If it is being spoken continuously then there is a lot of It feels like my baby and her are together I mean taking a lecture for three, four or five hours He needs a lot of energy So you can understand, my son, my curse has come I request you to keep motivating me too arm in arm Come on guys, come as I told you to come today You will not be able to complete it because from here After running away, its 2:4am now and again Son, the lecture is offline for 2 hours, ok sure So we will be there by 12:30 and in an hour as much as possible as possible We will do as much as possible and I think there are two chapters in an hour. I will confirm it, ok now you will be saved Structure of item and dual nature then Dual nature is just a small chapter When people answer questions worth two marks and three marks If you do it, then the whole chapter will come in it The whole chapter will come out, sure son I make lovely things for you I have arranged it, I will take two sessions tomorrow And in the first session with Shahid Sir, we Theory of two marks Theory of two marks We will do numericals again in the evening session three mark's a little three mark's Numerical then four again on Sunday Mark's big derivations will be brought to you So you should understand that today we have given you a little Diya, we are going to give you such things in the future too I mean it's like this is my friend, this is the paper You should understand the paper, that means you should see it completely If you took it then give me a four paper, understand this thing clear Guys let's move ahead without wasting the time Guys let's move for the lesson ok big chapter yes again i will try quickly for half an hour Wind up in Come on, you have to read a lot of things You know, without wasting your time. Let's move ahead Let's get one for this too, oh friend, this one is also gone I feel like letting it slide no matter what no it doesn't matter is this your job it's none of his business, let's blow away the rod my leaner h is here right so let's go ok Blow it away and I'll write it back in full To you yes okay now what is linear SHM beta what is linear SHM ok it is the linear periodic motion of a body in which restoring furs is always Directed Towards Mean Position and Its Magnitiya SHM is a motion in which Restoring Furs Is Always Directed To Where is towards the mean position and its Magnitia spring It is also called constant or force constant. he doesn't have any i ok negative Sign Indicate Restoring the Force End displacement rate in opposite direction a directed in opposite direction ok then come here but you know if a is mass in acceleration then a = my so what is a son after me m a what do we take for yer up a omega square What do you get with the cape Omega S here what is omega son Angular Frequency of a a m then a = - omega s x a = - omega s x sure bhaiya's down below it is no no so a is directly proportional to x ok if you need to send any motion to Proof Given Motion SSHM you have to prove this a Directly Proportional to I don't have time, I will come in an hour I have to read two chapters ok guys now Next Differential Equation Ra Expression then what does the differential equation of these say Lear Ang Force Red To Mean Position Lee Prill to displacement f mean position so there Four what you just read f is directly proportional to x so f = - k equals one Very sure but teach me now what is f son m * a so there for m = - k a then a what We will get - k / m x here k/m what is it son omega sk so late four a = - omega s x but my child what is the acceleration rate of Change of velocity and what is velocity Mera Lala Rate of Change of Displacement There is so much of it so there for a = d / dt2 ba dt2 x up dt2 d s x / d correct so a got d s x / dt2 equals n here put kar so there for d x / dt2 + oga s x = 0 p q is the gauge of two marks It has already been asked for, check it easily Shyar Sure! ok sir one kids just wait a minute oh my god father I have just been sitting here since morning I swear on mother that I want mass tonight Sachi I am telling you I swear my back is gone It feels like my whole back is stiff, friend, yes sir turn off the mic let's express our feelings acceleration acceleration velocity a Displacement is very quick, just within a minute Do all three within a minute to start the timer it happens let's do some action what do I say Statement D Diff ive d s x its d s x omega s x = 0 then d sc ex up d sc = min omega sc One but what is d sc up d sc son acceleration a so late for a = minus omega s x this is the expression for Acceleration of Particle Performing Linear Oh, for sure, for sure, go ahead. Velocity what I say considering the Expression for acceleration of particle performing what is lee so a a what is a minus omega s x but do you know what is a dt-2425 d what to get - omega s x dx8 is integrating on both side chal bol integrating on both side to What will you get integration v x score Integration X STOP PC They C.E. constant of Integration and Its Value Depends Upon Initial Condition sh be absolutely sure your malam xm position extreme Position P at my velocity of extreme What is its velocity when it becomes zero mean Maximum motion start would be written The resto force is bringing him out of here who is returning and bringing ring force so what it becomes g later 0 i mine omega s and what is the displacement amplitude na mine omega square a sba 2 p c then what will c get omega sk a s ba 2 put car soder v sp 2 = my omega s x up 2 p omega s a up 2 chal Common then v s up 2 = omega s up 2 a s - x s to cancel so i plus and minus omega root of a sc minus x s square root took side this is the expression for Velocity of Particle Performing lee has come let's displacement come for Displacement considering expression for the magnitude of velocity is just What is Magni if you take it Omega Root of a Smell a Smell remained but what i v d a bye dt1 mine x s then d is the root of a s my a s = Omega d absolutely sure variable separate Integrating on Both if sides are equal then son what will you get Integration d one's own routine a s meine Integration Omega d this happens maths students, do you remember it? sine evers of x up a integration of itu omega out d t p alpha Ver alpha is constant of Integration also called as a poke of alls called puck of a let's go to the sign and then x up will be omega ps alpha to x in sign bucket What will be getting Sign Omega Plus alpha this is the expression for displacement of particle performing Linear clear guys absolutely sure beta shar ha no i just did a derivation in it have taken maximum and not minimum cases I did not take maximum or minimum cases in both the final blow and the ember of M I told you in both the cases I would write 'ya' blank I am three A max is omega squad a must remember To you and max is equal to omega a We have all and Displacement from mean position to yourself I get a sign Omega Displacement from Extreme the position gives a cos omega t Your time should not be wasted all the time clear guys yes fa you can also write text If it is written 'fa' in the book then write 'fi' son There is no problem for me There is no problem, you can write it as you like People tell me friend Fa Fa The body grew equally Next shot s m is projection of ucm this This has also been asked in the board exams It has already been asked, it is very easy, very easy consider now listen listen consider particle Performing UCM Consider Particle performing ua along the circumstance of Circle with radius a in anticlockwise direction direction let initially the particle be at Point p describing an angle of f with Horizontal after short interval of time t Particle riches at point p describing an angle theta toward the center you Do you know what is omega th / t then theta What will you get from omega t when you consume it point p its projection on diameter e at point a is the distance of x from o correct na shor now in triangle p ao in triangle po p ao is visible po in Triangle P ao pay attention beta cos theta p f will be equal to k theta p f what is this whole angle th p f na Adjacent upon hypotenuse adjacent means /o what is so theta omega t + f o what is the radius a then what will be x get a k omega t+f equation number one Mixing displacement is what I say so this d is a byd derivative of e a cos minus sine omega p f in chan rule is this derivative of f of the zero omega constant derivative then the answer will be omega i hope so If my children know the rules then I am mine omega a sign omega p f ok what do i say renting with Respect to Time Tell me again what will you get and this will happen [music] what is f a k omega p 5 x na so there for a = my omega s x here omega Square is constant constant angular Speed bola hai na late for acceleration is Directly Proportional to Displacement there for a a a is a projection Off Didn't you tell me if any further motion What do you need to prove AHF then What does acceleration tell us directly? Proportional to displacement this is yours The derivation was simple and easy, that's for sure go ahead let's go analytical method for Composition of two shm complete maths complete Maths considers AH with amplitude a1 end a2 initial phase angle alpha 1 alpha 2 Respectively late at any time instance t its displacement will be given by bolo bolo son x1 = a1s omega t ps fv x2 = a2 sine omega t p Alphabet Resultant Displacement is given by ball x = x1 p x2 a1 sine omega t p afv p a2 sine omega ps Formula of alpha to x = a1 sa p b apply kaise a cos b ps kaise a sa Sign in B plus A2 bucket a cos b plus cos a cy b equals i hope So comes the formula of Sa a Pb Sa Pb apply chal multiply kar a1 sign omega t cos afv plus a1 cos omega t sine afv plus a2 sine omega t cos alpha 2 p a2 cs omega t cy alpha Fatu Shar is absolutely sure to go x = x = It is visible that omega is common in this so what do you get in the brackets a1 cos alpha 1 p a2 cos alpha 2 equal plus here p k omega is common son so what did you get a1 sine alpha 1 ps a2 sine alphat noise is very solid Lala Shar yes or no my child come I what do I say Late Let a1 sine afv p a2 sine alpha 2 = aa Sign delta and cos alpha p a2 cos alpha 2 = aa cos delta shar so late four one will be sign omega this is r cos delta plus cos omega is aa sign delta shar then x will be equal to r common ye done sign omega t cuz delta ps cuz omega t cy delta sa a k b p k a sa b then what is x got beta r sa omega t p delta shar here write it on me what is resultant What is amplitude equal to delta Resultant Face results: A resultant face wash is absolutely sure Lala yes or no my child let's go now Resultant face what am I saying [ __ ] On Squaring Ends Edging equation one and two v and swa and d kar to r s sine square delta ps r s k [ __ ] Delta Will Be Equal to Bolo say a1 sign afv p a2 sign alphat dal squa plus a1 cos alpha 1 p a2 cos alpha 2 squash shark Son, come on let's go to r s cy s delta p r s k square delta will be equal to a p b s son comes by applying the formula say a1 sk sine squa alpha 1 p a2 ps a1 a2 sa afv sa alpha 2 ps a2 sci sk af 2 ps a1 sk sk alf 1 p 2 a1 a2 c alpha1 c alpha2 + a2 c c alpha2 I hope everyone knows the a + b formula So from here r s is common in bracket s delta + c delta here a1 common is sin2 alpha1 + c s alpha1 plus here 2 a1 a2 is common which is alpha 2 p Sa Aw Sa a2 plus a2 is common sa saf 2 + k s a2 i hope so trigo and maths so much If this happens to my children then r syhva a1 s side bhiv 2 a1 a2 k a k b + sa a sa b becomes k a minus b Plus a 2 in the [ __ ] bucket back to back will be equal to root of even s p 2 and a 2 cos alpha and minus alpha ps A2 [ __ ] this is the expression for resultant At least let's go next for a resultant face Resultant face chal bol on dividing Equation 1/2 speak r sa delta / r k delta will be a1s af 1 + a2s aa 2 / a1 k aa 1 + a2c alpha 2 r aa cancel sa up k na delta itu a1 cy alv p a2 cy alpha 2 apn a1 cos alpha 1 p a2 cos alpha 2 does not go there then delta kya mila beta n ivers of a1 cy alpha 1 p a2 sine alpha 2 its a1 kas alpha 1 p a2 cos alpha 2 Shar this is the expression for resultant Face This is the Expression for Resultant Face clear guys absolutely sure son yes Priyanka yes son yes Let's grow Further Rhine expression for total energy o Particle Performing Linear SHM after 10 minutes Prasha Sir Cope Balena derives an expression for total Energy of a particle performing linear Derivation of H Correct Total Energy Vary Simple, what am I saying, consider it particle of mass performing a stroke along path AA with o as its mean position o what of it is the mean position correct when the particle is at point p which is the distance of x from o its velocity is given do you know what is the formula for velocity v = p and my omega roof a s - x What I call squaring on both side then what will we get v s = omega s but in a s - x equation number one sure will move forward for k kinetic energy of particle of mass m and velocity v is given by apne ko pata hai what is kinetic energy my child is half av sc so kinetic energy is half a vat There's a smine in this omega screw bucket where did the ex come from no ok but your who knows what is this omega squad a so Derr Omega Squa Equus too sorry i wrote it upside down t e omega after [ __ ] m correct na so omega square what what will you get then omega squa*m my baby k put kar so kinetic energy is half of the bucket has a - x this is the Expression for kinetic energy of Particle performing laser sure is absolutely sure move ahead now let's go my potential energy understand when my particle o is from where came on p when he is on p then on top of him Which force act is already happening? restoring force when the particle is at point p at a distance of x from o it is acted upon by restoring force ok for a further small displacement d a Against resisting force f work is to be Done means someone is already pulling you back But if you are in this force a little bit And if he is doing displacement then what do you do? is working when particle i At point p it is acted upon by restore force a which is given by this for further small displacement d a against force f work it has to be done chuch is given by ball d = my f d a minus the cusp force and Direction of displacement is opposite had i my what e f minus k one so d what will I get son k one d one Two Find Total Work Dunn V Integrate Now expression under the limit 0 to one there for w = integration 0 to acre integration 0 to x equals adc one Son, what will you get outside the DCTU? Integration of x is a function of 0 to x lore limit kya ro so i k x sp up 2 this work done is stow in the form of potential energy equals don't sleep late then Beta p i half k x scr potential Energy just now speak First so total energy Total energy is kinetic energy plus potential energy equals beta shar so total Energy Kinetic Energy 1/2 aV a splash in a bucket of sorry half 1/2 K a so total energy is half K A bucket has a - x spa x half of the common I took it, it got cancelled so how much is the total energy I got my half son sk this is the expression for total energy of particle performing linear SM this is second now maximum and minimum let's see the cases ok is at mean Pay attention to the position, son, on the mean position displacement is zero so there for Kinetic energy is 1/2 of a - x That means 1/2 k a so kinetic energy is Maximum at mean position and how much is 1/2 Of Potential energy is 1/2 k a s means square so potential energy of 1/2 K * 0 is minimum and that is zero so there for Total energy at mean position is k p p p So this is zero, so total energy at mean position how much did my child get for 1/2 a sure my child this equation number your three chal eight extreme position at extreme position bol Beta extreme position at x = a so there for bole beta kinetic energy is Half Bracket in a s - x s that is 1/2 k a s - a s that is nothing but zero to kinetic energy is minimum and that is equal to zero The equivalent potential energy is 1/2 k x that is 1/2 k a so the potential energy is maximum and that is 1/2 k so total Energy at extreme position is kinetic plus potential then kinetic is zero plus 1/2 k so total energy at extreme position is also 1/2 k s this is your equation number three there for sorry equation number number Four there four form equation tooth and four Total Energy of Particle Performing Linear M is always considered and remains Constant graph, see this is your graph Check the displacement or your time. Kinetic energy maximum at mean position and the extreme point is minimum then its The graph of kinetic energy will be like this Extreme P Minimum Mean P Maximum The mean potential energy is minimum and If the extreme is maximum then its graph is like this Two upside down umbrellas will be made Two upside down umbrellas Clear guys for sure shaar yes that no let's go to the simple pendulum now But let's come to Simple Pendulum Simple Pendulum what is it my child tell me what is it simple Pendulum son, let me drink some water for just one minute I can drink water for just a minute come on speak be speak speak speak simple pendulum what is it son now baby of mass is attached to one The End of Weightless in Extensible String Forms a Simple If the pendulum is correct then consider the weight of the mass as an attachment To One End of the Weightless Insensible String off length A ok when the bob is in given position it is Acted upon by two forces first weigh in down word direction second tension t along The sting let us resolve as we wait into two component theta the first vertical component m The second horizontal component is m theta here i started resolving the weight The vertical component of weight is balanced by Tension in the Strong Wai Huttle Component Acts S Necessary Restoring force shar restoring force so there four ye m bit theta don't mess around do ya cy th shar ex first so late a e mine a g sine theta ok Butt pay attention but minus k x so - k one = - mgs3 minus minus cancels also from figure please pay attention from Figure if theta is very Small to sa theta is approximately equal to theta and there for th is nothing but x up l Sins x = l * th is the formula for length of arc length of arc put kar so there for are See, a sector is being formed here A sector is being built here, this length of arc x this theta and this radius l shore My son is absolutely sure kx1 instead of x / l x one cancel so k / m = g / l but k ba m is omega square right so sure so there for omega squad what did you get g ba to omega what will get root g ba a shore what t also what is time period t is 2 pa ba omega then t is 2 pa ba omega in place of root g ba a then put up then t will b2 pa r l hawk t will be 2 part a bet will be 2 part a baaji this is the expression for bolo beta this is the expression for time period of Simple Pay Clear Now Laws of Simple Pay Address Time Period of Simple Pay Directly proportional to the square root of the length of it string time period of simple pm i inversely proportional to square root of acceleration due to gravity share time Period of Simple Pendulum is the Import of the Mass of the boy time period of simple p is Independent of the Amplitude of Aus What is it even with the amplitude of the os It is independent Shar Second Pendulum Is a Simple Pendulum whose time period is 2 second is called as a Seconds Pendulum A Simple Pendulum Time period is 2 second is called as a second pendulum well we know that time period of Simple Pendulum is Given by t e 2 par a what is t in baz butt second pend 2 sec so der four 2 = 2 pa rough l baz 2 2 cancel so 1 i par a baz squaring on both If you say side then what will you get 1 = Pa s a hawk so for that i will be g up pas this is the Expression for length of second son, I have just asked about the pendulum I have asked in 2022, define it in 2022 Second pendulum an expression for its length Guys asked in 2022 2022 Clear Kartik Remember Simple Pendulum If we see tension in a simple pendulum If it resolves then the conical pendulum and what will be the difference in that, son, then we will Let's resolve AG only, son, because sun restoring force is this and Displacement and Displacement of X The direction and restoring force direction y that's why minus came I understood that I saw this, we read it Lia Gais not even 20 minutes left around Maybe I don't think so, what is my chapter will be able to Sir up yes yes sir come on no yes guys don't worry don't worry look this is a How was it that you had some meaning that you felt very much There is space available, that's why you can find it here too We have given you this thing so that this does not happen to you Don't say that sir you told us the theory I did not teach but tomorrow and the day after we People are going to take sessions, son, maximum in that I am giving you the answers in writing. While teaching you, I will tell you that look at this Everything is there and we have covered it in two marks, in three marks and in four marks I am going to be that chapter of peacock and lace it's going to happen can you understand peacock And soon that chapter will be cleared absolutely sure shy so don't worry don't panic don't panic There are two or three more sessions coming up before you In which we will cover the maximum part for you We will give it to you so please don't panic don't worry don't Worry we are there with you till 17th of February You have your paper at 11am till then we will help you with us don't worry don't panic clear guys No son, Om will not be a super position Perhaps Couldn't do it Sir St hello hello ok So how did the session go guys, the sound is still coming Ved Janvi Yuvi Needha Started Morning 7:30 yes brother it's been there since early morning right? I almost feel like here right now 62000 students came and went today that today in this session you are understanding so yes how Session NI Arzoo Digambar Message Everyone One Brother, a red heart is a must for Bar Sir Because look friend, it starts at 7:30 in the morning Sir it has been around 5-5:30 hours, please continue Now you are understanding and now Sir's session is also going on. it is there in other places too and his neck When he is fully seated, Sir is saying that Sir If I say more, you will explode I need some more time, I won't be able to take it tomorrow yes and tomorrow's main lecture is tomorrow So you know there is the main session which is two Marks: There are three marks question there then your board paper is going to be made from this Because of this there is more preparation for tomorrow's session. If you want to save your throat then you must know this thing Yes, today our whole chapter got revised. And whatever five chapters we have, and I think I am feeling the syllabus of sir There are three chapters left, so tomorrow or the day after any day sir take the last two and half hours you will finish it don't worry until then you Read these five chapters thoroughly Revise now, at 4:00 pm we will go straight to Shahid You will meet SM Sir in his lectures You will definitely get an end in the sessions I know that SM sir will complete it completely don't worry we will give their syllabus at night Even if it lasts till 10:30, no one will This is not a problem, you should pay attention to it That's it friend, thank you so much and now that's it for you all A small hope that all of you All the students commented just this much I want to write that you will hardly find such quality You will get it anywhere, that's why quality is equal To New Indian Era this thing in full comment The entire comment box is red with a red heart You should think it is okay to see red So it should be visible in the full comment. and your Rocky brother of the Physics at 4:00 We will meet today, remember that chapter 7, 8, 9 Cover all chapters 10 11 12 13 and 16 We must be doing this, you should pay attention to it 4:00 am to 10:00 pm 10:30 11 There will be no tension at night today I will blow your mind in physics, okay guys Pay attention to this and remember one thing Quality in comments means New Indian Era Quality is equal to any IE New Indian Hey, pay attention to this and tomorrow's lecture tomorrow. Questions of two marks and three marks I will get it done brother, he will get stuck in your exam And remember on the 17th at 6:00 am I don't have to tell it again and again, okay, so yes guy please like this video once all the children quickly got together Bar and kids please a sweet comment You should read from New Indian Era How do you feel, how much are you helping me It is okay to tell you all these things It would be very nice for us too to see you all after hearing and knowing ok guys so let's go and Yes MST CT Achievers Batch once Go inside the New Indian Raap once See it because it is very important for you It will happen and you people can also download its PDF will be found inside the New Indian Pup So you will get its complete PDF You will find it inside the New Indian Era app Please download this app and You will get the complete PDF here. Go quickly, it will be available there Ok guys there is a link in the description box You go and check that out too, like the video Commenting on Quality means New Indian ra remember ok guys bye bye take care love you a Lots will now be available at 4 p.m. am