Transcript for:
Physics Units and Measurements

Burning is called fire, roasted is called ash And the one who makes physics easy is Prashant Kirad says. so hi everybody first of all So I welcome you, your own Prashant Bhaiya and I have come with your demand. I have gone. So, I got what you asked for I gave it to you. What was your demand that Get a one shot lecture done and that too on Physics Of every chapter. So from today that one shot The lectures have started, come. So this is it Our first lecture which is unit end Measurements. very cute, very Simple, very nice chapter. Isn't it? First of all I know you are very You will be excited. I will definitely do that in 10th You must have studied. You must have enjoyed it. Now It is the turn of 11th. Isn't it? what did you think I thought that brother will not return after 10th. Oho Brother will definitely return. Isn't it? Pacific Brother is standing with you. Why be afraid? That means you have finally entered 11th class yes and you are going to read this chapter also. First of all, what am I going to teach you? Am? All the topics in this chapter which All of them are according to the latest syllabus Topics I am going to teach you. tell I will give you one in your latest syllabus There used to be a topic which was removed by paralyzing it Already happened. Whereas there is an error according to the new syllabus There is a topic after this. that is from your syllabus Included inside. I will teach you everything I will teach you in detail and that too in an interesting way I will teach from. First of all tell me about the enthusiasm meter. Energy level is the energy that Was it there earlier or did you become a fool after 11th yes. I have a dream, I have a dream that this class too We will make it excellent like 10th. If it is a dream, If you have a dream, then write your enthusiasm meter once Two. How much is it? Should be 1000. as much as I have energy, you have double the energy I want it in. So let's start Are. Further lectures will also keep coming. Little It will take time but lectures will definitely come. start? Let's go sir. Read this chapter as your Let's start right away with the very basics Which is what is physical quantity? Brother What is this physical quantity? Oho A foolish child lovingly calls him foolish. Come You already know it. you read it by yourself Have you come? The foolish child speaks lovingly Is. Ok? So what is the physical quantity? it occurs? Physical quantity is such a thing Which we can measure. that we measure Can be done. Like how much do I weigh? My weight is 70 kg. 70 kg. what am I Will I tell you? Can I measure my weight? You will say that you can definitely measure it. but what You express your feelings which you Does he have feelings for your crush? can you measure it? Yes, you can definitely measure it. How? Tell. Infinity, just kidding. That means we cannot measure feelings. Is No? It's a different matter that your crush is in your heart what i feel for you is Zero. I am telling you the reality. No problem Son, you will feel bad but it is real. Isn't it? His There is zero in the mind. But it is a different matter that we Feelings can never be measured. So The things that we can measure, we They are called physical quantities. So physical Quantities refer to any property of a Materials and a system that can be measured. which we can measure and we can write it down Can be done. Length, weight, what are all these things Are? Your physical quantity. Now look friend Two components of physical quantity There are. what happen? Two Components. The first component is is the numerical value and the other component unit. I will explain, please understand carefully. I to you I am asking you how much is your weight? You told me brother that I am waiting for that It is 60 kg. So what did you write? you two I wrote things, son. What two things? first thing This is the numerical value. What is this? Numerical value and what is it? unit. What is this? unit. That means every physical Quantity is made up of two things. One is your numerical value which we call Let's represent it with n. and there happens to be one Your unit which we represent as u Are. Simple, there is nothing new. Some? It is not dangerous. Something dangerous. Oho I understand, stupid boy. very simple Things are moving. look inside this oneshot Nor are all things going to be covered. I will also make you practice questions. yours Almost the same pattern in the exam All the questions will come which I will answer today I am going to. Have some faith. I know when Since you have come to 11th. One is when we were in 11th If I come, I will be very troubled anyway There are. Why? Because our true We had friends till 10th standard, they left us Let's go. They go away. I miss you His? She must be coming. Isn't it? same way You are worried. You have joined a new class Don't worry, I will get it done. Ok? So How do we write? n and u are written like this Are we talking about physical quantities? this is it Numeric value and this is the unit. Correct Is? But brother, what is this unit? If If I ask you to define units then units How will you define it? Tell. Units Let's read how you define it. Come on. What are these units? To all First of all what is this unit? it is a standard that is widely accepted and used to Major Physical Quantities. That means one It is standard. that has been seen all over the world goes. And according to this any Physical quantities are measured. Like how much do I weigh? my weight is 70 kg. Should I give this a Can I write it in another way? How to tell? Should I write it as 70 thousand grams? Can I? I can definitely write. Why? Because I changed the unit. what did i Did you change it, son? Changed the unit. i.e What is a unit? There is a standard which It is used from every place world wide So that we can measure things. Very I understood it correctly. What is the unit? Any No need to tell. Very theoretical It's a thing. Isn't it? Sometimes after school We ask it in exams. Look, brother, Don't know about the school master. If the school master started dancing, do you understand? yes? Are you understanding? if it comes to their mind He can ask anything. so i want Yes, I will get everything covered. Ok? Anyway it is not asked. What is the sense of unit? Is? Units ensure consistency in Measurement. What will he do first? Joe Measurements Whatever is coming your way should come equally. They There should be consistency. One thing is that work of the unit. very nice. Next Give Allow Scientists Across the World Too Communicate. So now what if I I am telling you my weight is 10 kg. Isn't it? If you think about it, it wouldn't be a kilo. and I speak I am living with a weight of 1000. You think what is 1000 brother what is 1000 1000 kilos I say oh no no grams I was saying gram gram, it is a village like this If it is a ton then what is the unit? No, we don't want to communicate in the world wide It is very important to set up a unit for this what is next de form the basis of Calculation means with its help we do calculation are able to do and compare No, I understood it very correctly, what is the unit key? It's very basic-basics are three, let's go now Let's talk about two types of units, Bhaiya Type of unit is big simple big Lallu is like a Lallu. Which ones are there? First The unit is very cute which we call Fundamental Unit. and other derived unit. Are? Fundamentals. hey fool Nothing is there Fundamental Unit by name only I understand it. Fundamental means a basic unit. Look, fundamental unit, that unit There are things that we take for granted. We value Let's take it. as if you assumed that he She will reply you. won't do reply. But you accepted it. Such What is a fundamental unit? that unit There are things which we take for granted. we say it's ok friend. Isn't it? so basically what Is? The basic units which we call Let's talk about fundamental units. and your reading There are seven fundamental units for. What is it? I'll give you a bar table I will show you. These seven fundamental units You already know it. But I'll tell you once again I will give it. What is it brother? Let's keep watching. The first is mass. What is mass? Fundamentals There is a unit. ok what is the symbol of month It happens? It is m. very nice. Very Excellent. ok now tell me the si of mass What is a unit? what is SI unit It happens. What does such a unit mean? Standard. At the international level, one The standard unit that is used. So you know for mass we have KG I use it. very nice. Length. to the length Represented by L. International What is a unit? What is SI unit? meter. very nice. What is the time for? Seconds. very nice. Current. Current. Electricity. Where did you study electricity? did you study in 10th In class. Don't say this now. in 10th class So bhaiya was having fun. I will beat you a lot. I was the one who taught you. Isn't it? Isn't it? If not from me, you might have read it from someone else. I had read it. come on. What is? What is the current Is? What is current? Current your unit It is ampere. What happens? Ampere Out of the two, A is representing like this There are. What is the SI temperature? There is a unit, son, what is that? Calvin. what happens son? Calvin. Apart from that the amount of substance. amount of You will study the substance in 11th also. There is a topic on mole concept. Perhaps You must have read it. If you haven't read it then no one No problem brother. Isn't it? so what would have happened Is? We represent this as n. Is No? And what is its unit? Its The unit is mole. What happens? is worth it Its unit is the last thing this is luminous intensity you have never seen You must have read it, I will tell you like this This doesn't even raise any questions but Luminous What is intensity in a way It is quantity, what is this, such a quantity that tells about some things You will read more about it gradually Don't go deep. ok sir. The unit of What happens? Remember the units. Its which What is the SI unit? Candela. What happens? Candela. Ok Yes? What are these seven fundamental units for you? Is? These are your seven fundamental units. What is? The Seven Fundamentals. Ok? I have arrived To understand? Now, let us discuss these fundamental units With the help of this we derive the rest of the units Are. Derive means extracting it. Therefore we What do you tell them? Derived unit. what do you say son? Derived unit. Oho It is obvious that the units which we Bhaiya, we will drive it with the help of fundamentals We will call them derived units in this Brother, something new has happened, what is it You were getting so upset that something like this There is nothing in it and son keep one thing in mind I am here to understand and my focus is complete I mean not on me but on the whole board here There should be complete focus, the focus should not move I should do it otherwise you know I will roast you as if a child were asking me what was he asking me over and over again I was wishing that Bhaiya don't tell me anything about the opposite gender There is a bit of distraction. So I told him, son, do one thing. First you can share your Instagram, WhatsApp, Put your DP on Facebook. the day you Putting a real DP will end distraction It will go because there is no message from the other side Will do it. complete your studies. Ok? come or else You will keep getting roasted by me for free. Let us go. What is a derived unit? Derived Unit are the unit used to measure derived physical Quantities. Isn't it? some different physical We derive units of quantities Are. With whom? With the help of fundamental units. Like for example area. nice area What is the unit of? unit of area what happens son? What is an area? Length * Breadth. Length * Breath. So what does it come? Meter Square. Isn't it? L² arrives Isn't it, son? L² length * breadth. That means two We are multiplying the length. One There is a length, there is a breadth. in both meters Must be. So what will happen? Unit Meter Square. What is similarity volume? Volume is in meter. Isn't it? so like this what happens son? what are the different Is? We call the different derived quantities We can also derive their units. With whose help? Say. of yours that we have just Study fundamental quantity with their help We are deriving. nothing good about it Let's see the question. as the first one to come Velocity. What is velocity? Tell me what is velocity? hey my face why are you looking at it? I did not read it. Displacement / Time. Had read? Yes. Memory Have you arrived? I remembered it. Isn't it? Displacement what happens? Length. what is time? t. Now tell me one thing. how do we call length Are? meter. How do we say time? Seconds. Isn't it? So what will happen to this? meter per second. Isn't it? Did you remember? Acceleration What used to happen to the unit? second per meter Square. very nice. Do you remember us? I have already read it. Let's look at a question Are. Write the SI units of the following Derived quantities. all these quantities What is? This is from your fundamental quantities They are different. You are seeing it right now. SI of all these Tell me the unit. And also tell me the derived units. What is SI unit? SI units. As the SI unit of force is Newton. Isn't it? Pressure is measured in Pascal. I am Pascal speaking. P is there R is not there Son. Ok? Yes. Ok? Pascal. His What happens to the additional work? tell me Quickly. Isn't it? What happens to the energy? Energy work is same as well. Joule Address will be. I read you the watt of power, my Inside 10th. This is their SI There are units. I am asking about its derivatives Tell me the units. Let's do it quickly. Its What to do with derived units quickly? Write in the comments. Let us go. Yes dear. whose Have you arrived? very nice. a lot of children come He must have gone. Like there is force. What is the force does it happen son? if the force forces you to If you remember the formula, you will know What is force? Mass * Acceleration. What is a good mass? Mass in Kg Let us count. SI unit of acceleration What happens? What is a derived unit Is? Tell. What happens? second per meter Square. We will multiply both of these So this will come to kg meter per second square. Yes or no? Did you understand it? These are the Derived units. Very true. see the next one Brother. See the next one. What is pressure? Tell me what is the pressure? Force Buy There is an area. Same thing happens. What is the force it occurs? We have just started this unit of the force. I got it driven. Very true. Isn't it? here come My one is gone. very nice. Now tell me this area what happens? Meter Square. What It happens? Meter Square. Isn't it? so this is up He will go away. Look at this son, one cut after the other Will go. So what will be your final outcome? KG Divide by meter second square. whose is this Have you arrived? This is about your pressure. Pressure This is the formula, son, force buy Area. Ok? So this is your answer to the pressure The unit got delivered and arrived. Very true. Very Correct. Clear even here? no problem It must be so, son. These are very simple things. It is not a difficult thing that you You are taking so much tension. There's nothing. These are very simple things. Are you understanding the matter? Are you understanding it? Very true. Isn't it? Let us go Let's see the next one. What's next for you? work. what is work son? If work suits you Do you remember? We had read it. The work that is done In a way it is equal to energy. The SI unit used to be joule. and work What was the formula? Force* Displacement. Did you remember? Now look at us I know the unit of the force. just by this Multiply the displacement. i.e Square the meter. will you do it now? Look next. Energy and work are same Is. What is power, son? of power It is the basic unit. Tell. Hey tell me brother. What? Power is in watts. and its What was the formula? Electricity I read it in the chapter. Anyone who doesn't remember There is nothing to worry about. he would have been Tha Energy Divide by Time. Energy Divide Bye time. That means we have measured the unit of energy I took it out from here. Isn't it? Energy and We have already figured out the unit of work. Bus What to do? Divide it by time. i.e Divide it by seconds. So this is how we You must remember the SI unit of also. We can also extract derived units. Any question will come like this, it will be normal Questions come from. we will say hey tata Bye-bye good bye. Isn't it? We will take it out comfortably Can be done. Nothing to worry. not so much tension Take it because these are very basic things. Let us go, Next topic is. What now? System of Units. System. Which system? of the unit System. There are three types of things in the whole world systems are being used. Which systems are there, son? Let's see. The first is the FPS system. hey this FPS is not that one. iPhone camera of 60fps. Hey that FPS is different son. These It is different. Ok? What is the FPS system? It happens? Understand this carefully. Attention To understand from. In this we mass know which Let me calculate it? in pounds Let's calculate. We measure the length in feet Let's calculate. They say foot How many feet is it? How many feet are there? Do you say so? And we measure time in seconds. Let's count inside. Ok? The second is your The unit arrives. Your system arrives CGS Systems. What is CGS system? Hey, what does C mean? C means son, not that What you are thinking. C means centimeter. It's a simple thing. Isn't it? Centimeter. i.e Here we will measure the length in centimeters, We will convert mass into grams and seconds into centimeters. It is just that. The next thing is the MKS system. MKS The system is very important. Why? Because MKS system is the SI system. That is, look, these are three basic systems. One That is the system which is available in standard places It is being used. Isn't it? be used standardly Used to be. So that is what this MKS is. This is the same MKS. i.e. the MKS system This is what we use in SI. ok sir? What's inside it? to the length We count within the meter. Isn't it? We calculate the mass within kilograms and You are counting the time within seconds There are. What did you tell me? MKS System Very It is important. Did you understand it? Is it done? Very true. Very true. So these are the three types What were we? This gives us some insight into the systems Were. I have already told you the details Inside. Now let's move ahead quickly. Now Who are we talking about? something important Let's talk about things. Such as I told you about SI units. If you look at the SI unit, it is MKS. resembles the system. I will write it down Length in meters. What used to happen in MKS? Length was counted in meters. Isn't it? What was the weight in? In kilograms. See Here you go brother. What was the time in? In seconds. ok sir? i.e. MKS System SI The system is the same. Beans. The rest of the things I I had already told you. I got this a little I told you a while ago. Let's go ahead and move on Are. Now comes the next topic Supplementary Quantities. So far what we have Read this, I will show you the numerical I will show you in a little while, within 5 minutes. But Before that, some supplementary quantities Let me read it. What have you read so far? We looked at the system of the unit. three types of Have a look at the system. That is cleared, right? Now Look, now I'm going to teach you two kinds of Supplementary Quantities. this that There are quantities, son, which are in between Is. Isn't it? Like it isn't yours That boy in the class who also got a chance with the topper No sitting, not even with backbenchers sit. Isn't it? He will sit in the middle. The number also If you don't bring the full amount, don't even joke around. Isn't it? What do they say to these guys? You know it. i.e. supplementary Quantities are those which are of different types There are quantities. which I just gave you Did you tell me the quantities? Seven quantities Fundamental quantities and a derivative Quantities. These don't fall in either of them. They say that I will go into fundamentals, No I will go into derived. my one different Make columns. I am supplementary Quantities. Ok? So supplementary Quantities are quantities that are not Categorized into fundamental and derived. It doesn't happen in both. But it would have been important Are. Why? There are two types of quantities. Understand this. The first is the plane angle and the second is Solid angle. have you read this plane angle It is in class 10th. that too for maths Inside. I become a maths teacher. I take away the jobs of maths students. Memory Do make a circle. wow man Made a crooked circle. Isn't it? These Suppose it is the center. Assume this is the centre. Correct Is? Look at this from the center. then it makes an angle Was. I used to make an angle. Did you remember? an angle I used to make it. In which angle did we find that Son? Used to be calculated in radians. in which Did you use to take it out? Used to be calculated in radians. Missing you Gaya is radian, right? and what is its formula It happens? I'll tell those who don't know Am. This is the formula to find the angle What? Arc length. Arc Length Divide By Radius. This is the radius. This is the arc length. This is the formula. Isn't it? and this is what What do you say? Plane angle. What Do you say it son? Plane angle. So the plane is the angle, its formula is arc length Bye Radius. Go ahead and work in many places will come. So remember it now. Ok? His Also what is its SI unit? SI Its unit is radian. Radian. very nice Son. Look next. Solid angle. Solid Angle It is the same thing. it's the same angle but now here But there is no circle brother. now a sphere Is. What is? Imagine this. once you close your eyes What do you imagine, son? your imagination Anyway it is very strong. Imagine once to do. With my eyes closed. A Sphere has arrived In front of you. Imagine this. and from the center An angle is being formed. An angle is being formed. Is No? Can you imagine? So that angle What will it be called? Solid angle. And What is its formula? Its Is there a formula? Area of ​​surface. That means how much surface area is it taking up? went from the center. Look, two lines from the center Went. Now, he will be covering one area. Isn't it? How much is that area? Divide By Square of radius. what would be its unit Is? Its unit is steradian. What It happens? Steradian. ok sir? that much There is no need to go into details. just that Understand this. Two types of supplements There are quantities. Plane angles and your solids Angle. You must know this much. Let go Yes, if you know the formula then it will be very good. Let's move on. Now we grow a lot towards the important concept from which The question will appear inside your paper. Bhaiya 11th Will you leak the paper of this also? Will it come meaning? will come. I am telling you. your paper will come Inside. Mainly it will come inside schools. Let us go Brother comes. Isn't it? and a lot of people are saying It was said that Prashant Bhaiya used to teach till 10th standard Are. Where does Prashant teach in 11th grade? Brother? Foolish boy it wasn't time yet That's why I did not teach. Ok? else 11th 12th I have taken it out many years ago. yours The exam takes place. The IIT JEE exam I have cleared it. JEE Main JEE Advanced Both. Ok? I have also got the rank. His So, that means, I can teach. But there wasn't time yet. But now your I have come for this and will teach you in such a way that you will enjoy it. Ok? Let's move on. What? Converge off unit. This is very important. See Yes, what question will come? This question will come. I will tell you similarly. question this will come. Let me tell you. Convert convert convert 3 m 3 m in cgs System. Convert 3 m in CGS system. Okay, what is the unit of 3 meters? meter. What should I convert into? CGS. What happened in CGS? hey length ka Tell me the unit. Centimeter. How much? Centimeter. Now you don't have to write the answers directly. There is a way to solve it in school. What is the method? Look carefully, son. These What is? you can call it n1 i.e. Numerical value. What is this? unit. Is No? whatever will be n1 u1 in any system yes they are equal. step by step There is a process. It might seem a bit difficult. But Understand it, it is easy. Isn't it? This is solved like this It has to be done. Ok? what is n2? and U2 What is? U2 is the second type of unit. Second unit. And what is N2? Numerical Value. Remember N1, U1, N2,2,2,2,2,2,2,2,2,2,2, will be equal to U2. If you don't understand it now, you will understand from the question. What is n1 here? Three. What is a unit? meter. What do we have to find out here? Us n2 has to be found. We have unit given. unit What is? Centimeter. What is given? Centimeter. We have unit given. Isn't it? Now Look, what will I do? This meter I will convert it into centimeters. How? 1 meter equal to hey tell me friend 100 centimetres in no time. Ok? now here But I will write that 3 * 100 cm = n2 * centimeter. ok sir? Look now Cut off centimeter by centimeter. what came Finally gone? The value of N2 that you got is 300 has arrived. have you arrived? 300. have you arrived Son? 300. i.e. within the new system Now my value within the CGS system How much has come? 300. understand what did I come? yes this is the way we can solve it These questions have to be asked. this is mandatory Is. This process is mandatory. remember n1 u1 n2 will be equal to u2. That means change the system but when we consider two things n1 u1 If you are multiplying then their product will remain constant. Now a big maths question Let me show you something very unique. Little You will have to apply concentration. Look what it is look at the concentration n1 was low here okay what was n1 here was less and u1 here what was it was more because meter in meter Big is a centimeter and small is a centimeter. now over here what happened finally see here n2 it became too much because u2 was low. u2 was low. Got it? Got it? That is, if Your unit will become bigger, so your The numerical value will keep decreasing. and if If your numerical value increases Your unit will keep decreasing. That means this What I wanted to tell you with this question is that the numerical value is inversely Proportional to unit. and that is very much This is an important point. remember that this is very It is important. n is inversely Proportional to unit. ok sir? This is very It is important. Why? because there are so many Inside the question, there are many papers I show you directly inside. such a question It comes directly. what will come? Look, a Physical quantity is measured and its Value is found to be in you. n is Numerical value. u is the unit. donation Which of the following relationship? Oho, Brother, I talked about the relationship. [ __ ] man. I remember it an old memory. No problem. No. No. Son. No joke, just read it in serious mode have been. not a joke. He will teach. Yes. What Will the answer come? I just told you. what will come? D will come. Even now if someone writes wrong. I What should I hit you with? I am my tool Where is mine? I look now son I'm new I have kept the tools with me. I if you If the child gives the wrong answer then So I keep this tool of mine. These And it became just a little bit crooked. Straighten it out. This nail cutter tool. live in fear A little bit from me. be a little bit scared Me. Okay, I have come. Let's go sir. some more Let's practice the questions. But to him Before doing this you should understand a table. You might have seen this table somewhere in small classes I might have seen it too. If you haven't seen it then I'll tell you I will give it. See if it says 1 Giga somewhere. it is as if it is not written as 1 giga meter What does it mean? Giga means son 10 to the power of 9 is 1 Gigameter It will mean 10 ray to power 9 meters similarly Mega, we had read about electricity What does mega ampere mega 10 mean what does ray to power six kilo mean is 10 to the power of 3 hecto means is 10 to the power 2 deca means 10 to the power of one deci deci, that is, we say isn't it one decimeter so that means 10 to the power-1 centi, we say no centimeter what does it mean 10 re To the power -2 and got. You should also know that Needed Ok? Other than that, micro. What is micro? The meaning of micro This means 10 raised to the power -6. like if someone It will say 1 micrometer, so what will you do? will you write? 10 Raise to Power -6 meters. And Similarity to nanometer. Nano 10 Raise to Power -9. So you should know this from the basics. Sometimes, some questions related to this come up. Are. Therefore, you should remember this table. Let's look at some quick questions. See Brother will ask the first question. What is? Convert 72 Km But R into CGS system. See CGS The distance here is in kilometers It's inside. How much will it cost here? It will be in centimetres. very nice. and here But it is in an hour. Who would be here? It will happen in seconds. Now I am going to write Same. n1 u1 = n2u2 Step number one. Step Number one. Now see what is n1? 72 u1 How much is it? There is R on the kilometer right, this is it this is it now look n2 i have to take it out You want to find the numerical value, what is the unit the unit is centimeter per second because here r is on kilometer so here we what will you write centimeter per second this yes I will write that now what will I do son simple way that this kilometer and this Convert hours to centimeters and Telling one thing within seconds 1 How many meters are there in a kilometer There are 1000 meters in a meter. Isn't it? and 1 How many centimeters are there in a meter? It is 100, right? So it got multiplied by 100. Isn't it? So now I'll write 72 here. How much did this cost into? 1 2 3 4 5 divide bye these hours have to be divided into seconds Inside. Inside whom, son? within seconds. 1 There are 60 minutes in an hour and 60 minutes in 1 hour Seconds. That means it will become 60 * 60. Very Excellent. Isn't it? n2 these centimeter centimeter per second to here centimeter per second It will be cut. So the value of n2 is what you would expect will go. Please solve this once. Is No? solve it quickly once Keep track of what your answer is Is? Isn't it? I will solve it for you What? I have already done this much. So I am the one you I will get it solved. The value of n2 which comes She is coming, 2000 is coming. what is the value of n2 Is everyone's value coming to Rs 2000? Once the chat I will tell you inside. The value of n2 is 2000 for all Is it happening? very nice. very nice. Very Excellent. Correct? come on let's go let's ask such questions I am coming son. Similar questions come up. Let us go I will give you this question in your homework. I am giving it. Take a screenshot of it. this is you will you solve it? Ok, that's great. Very Excellent. By the way, understand one thing. now where we are are going to read, now where we are going to read Yes, that is a very important thing. Because Now we are going to study the dimension formula. Dimension formula is very important. Why? Brother See it in weddings these days, right? You You will ask what is the dimension formula? Look son, accept today's marriages You like a girl and you are leaving to ask for her hand in marriage from her father in law Father-in-law doesn't ask how much you earn What do you do? Will your father-in-law ask? You will say that you know the dimension formula then they will ask about the dimension of force Tell me the formula and if you can't figure it out ok so that's why it's important don't ask its importance, its enough It is important to mark the star dimension Look what happens, basically some symbols These are what we call dimension symbols. It is very simple. Like we know the dimension of length The symbol is like this: l is the mass, m is the time, t Isn't it? What is the symbol for current? Current has two symbols. either a or i What? Either a or i is like that right? These Both happen. what happens to the temperature Is? Temperature has a k. mainly this k is used to. what is next? Amount of substance. We either buy it or we We write moles or we write n like this. And last is its luminous intensity. These Will not be asked. but still we cd it I write. Mainly. what do you write, son? Writes a CD. This is not asked. This too Are not asked. Remove both of these. These You should know everything up to this up to thermodynamic temperature. ok sir? clear? Did you understand this? What is this? Their dimension symbols. dimension bhaiya hota What is? Read the definition. understood in 1 minute Will go. It is a very simple thing. Look at the dimensions of a physical quantity are to the power of two Which the Fundamental Quantities Must Be Raised. That is, suppose I have an area Have to take it out. Suppose I have to find the area Is. How do I write the area? Think. Area How to remove it? Length * Length. i.e. length I am multiplying it twice. That is, I would write l2 I will write like this, son. Why? Because I looked at this dimension symbol twice is of l. Multiply it twice. Square Have put. Did I do anything wrong? Some. well I'm taking out the volume so I what should I do? why? no problem, no Trouble, any problem? Not there. This is how we Many quantities now have dimensions We will derive the formula. That means we Will take it out. This dimension formula is very It is important. 1101% in question paper He keeps getting trapped. Let's keep watching. Dimensions We will continue finding the formula. Look now There is no way to find the dimension formula The format is. like i am talking about What will be the dimension formula of area? Bhaiya you will tell me the dimension of the area There is a formula, he is coming out with his L2 Was. Isn't it? You said this. you did that I said it. well whatever happens this is it I put two out here. Here But three and two, bring it in. This Where should I bring it from? Bring it inside the bracket. Correct yes sir. Come on come. now as you say Like you will say that Bhaiya this is the dimension This is wrong on the formula. Why? Because To write the dimension formula we need not Three things are always needed. Mass, Length and time. Does it have mass? What Does it have length? what is the time? How will I write? Look, son. power zero of m. Because there is no mass. anybody's Reduces the power to zero. so tata bye-be good Bye. Isn't it? Goodbye. power two of length and The power of time is also zero. Why? Because There is no time either. I don't even have time, right? Very simple right? There is no time. So 0 2 0 Very good. That means understand it like this. think like this That this is a matter of some respect. Is No? I could have written it like this also. But I have I thought I should give some respect to my brother. So How am I writing? 0 2 0 Did you understand? Did you understand? Tell me quickly. one by one Let's solve the questions. Come on. Velocity. What is velocity, son? If any question comes to you first Its derived unit should come to mind. What is the derived unit of velocity? Seconds per meter. Seconds per meter. That is, above is the length, below are the seconds. Above is the length, Below are the seconds. Above is the length, below is Seconds. Isn't it? What is up and down? Length, Seconds down. Now carefully Understand. What is a meter? I will write the length I will give it to you and the time was below. So if the time What will happen if I take it up? Time will become -1 to the power of. So, the power of length It is one, but the power of time will become -1. Will this fundamental unit come? yes or no? Say. Came? Did you understand the shine? hey stupid boy It was so simple. Took the time up. -1 Basic math. Let's figure out the acceleration. Write the derived unit first. on the meter Second Square. very nice. now look below What is? Second Square. so what am I will I write? So what should I write? look lt - 2 lt - 2 We haven't given them any respect yet Is. When will you give me respect? When with all these the Mass will put zero on it. That is, if I If I want to give respect then how will I write? m0 power of l1 t -1 this is respect. Respect If you have to give then you have to apply it. Ok? Everyone understood the acceleration. Well now Tell me what will happen to the force? take out the force Tell. What is force? of the force What is the formula? Mass * Acceleration And what is its derived unit? Did we just tell you what happens? say kg kg Do you remember or not? yes kg meter per second Square. Ok? so what can we write Are? We can write this as mass here as well. Is. There is length here as well. But here the It is time that the reciprocal will come up and become -2 Will go. So t to the power of -2 and this is really Variant. Remember something or not. of the force This is your dimension formula of force This must be remembered. How will I remember it? Please repeat it with me, son. 1 2 1 2 1 2 1 2 1 You remembered it, right? It just happens to be -2. These Remember this. Ok? If you use the force like this Did you remember it, I am saying it with guarantee Am. Don't remember anyone else's. just the force remember this. you know all the dimension formulas You can drive it yourself. Just remember the force Do it. Next, let's talk about momentum. What is momentum? Mass * Velocity. Take it monthly. What? Take the mass. Say. The month's m has arrived. what would the velocity be Is? I just read the dimension of velocity. lt If you multiply these two, what will happen? Will you go? m1 l1 t power-1 simple by itself do it. Let's power it up. what is power Son? Energy per unit time. What is power It happens? Let's move on to energy by doing power You do this first. aa I got the result of work done Show me this. Solve the work done first do it. Let's solve the work done. Work Done What happens? Force * Displacement. Now See what I said? Just remember the force Take. What is force? 112 1 1 2 - 2 is equal to 1. Into displacement. What is displacement? That's it, right? very nice. It is very good No? has it arrived? l2 to the power of -2. Ok Son? Son, put this L. It is important. You may never remember the formula. What is work done? f * s that is Displacement. Displacement means length. It is coming. Yes. Dhuli Dhuli comes into my memories Used to be. No problem. Ok, that's great. These Whose has arrived? The work is done. now accept me Energy has to be extracted. what was energy Is? Energy work done equally. That means this will be Of energy. Do you understand now? Energy and Work done is equal. Ok? So The energy which gets the work done. Now the power of Take it out. What is power? There is power Energy by Time. Isn't it? so about the energy You already know it. Just what to do with it? One Divide it by time. That means it went up Will go. And what will come of this? m1l2 t key Power-3 came or not, did you understand? Quick Tell. Is this thing clear? I have understood it In? Very true. Isn't it? So many such There are questions which we are going to attempt now are going to. like here I am another I will add the question. Pressure. Pressure What happens? Pressure is your force Bye area. Like what is the pressure? Force by area. So write its dimension. What did I say? Just remember the force. What will you do by remembering the force? Say Brother. 112 Hey, tell me friend. 112 bus -2 miss Keep. Divide by Area. what was the area Is? it's l² right? Let's take it upstairs. Any If you move the thing upwards the minus will appear. The minus will come. So what will happen finally? m1l power of -1 power of t -2 don't ask this now How did the -1 come about? when it goes up you fools This will become -2. Here's +1. -2 +1 -1 Now should I teach you basic maths? I also do basic maths I will get it done myself. I should also become a math teacher. I want to become a physics teacher for everyone. Isn't it? Lets go. Now you can drive some things yourself You will do it and tell me. Let's start. Let's start. Let's start From kinetic energy. Now look, understand one thing Here you go, son. I know you will never forget Things might seem difficult. sometimes when Things might seem hard. Know one What differentiates a topper from an average? that is Self confidence. which is self confidence Nor should it be inside oneself. speak the world It is being said that you will be able to jump 4 feet. I told the world that I jumped 8 feet I can show you. you know you don't can do it. But that confidence should be there. I am telling you. you get this confidence He will win. Confidence is very important. Never feel that the question is not solved are. Have confidence. No no, I will do it. will that do. That confidence is immense. Let us go Solve this question with the same confidence do it. Come on. what is kinetic energy Is? 1/2 mv² right? now this formula you know but you need energy I already know the dimensions. of energy The dimension will be the same as the dimension of the work will be. Whose? Of work. which will work Of. So you know the dimensions. But now we We will take it out from this flower. How? look take it out How are you? Just ignore this constant. We have to focus on mv². what would have been m is it son? m is mass. Isn't it? Into What was velocity's son formula? Remember once upon a time velocity used to be lt Put a minus and a square over it. This Close it. Isn't it? When the square is set So if you multiply this then remove it. Here two will come and this will come minus 2 of. Ok? Now multiply this. So this is going to be m1 l2 t to the power of -2? I have arrived. The dimension of energy will be the same. whether it's kinetic, potential, whatever Yes, it is the same for work done. work done also what is it son? It's beans. let's talk about density We do. Density is mass by Volume. What happens? Mass / Vol. What is mass, son? m volume what It happens? l What happens? is it not? Now what will you do now? You will take it upstairs. The time is here No. So what will we do with time? Zero Tax I will give. Great friend. What is the matter. Is No? What is the matter. now you have learned now yes. You have become a lion, share. Ok? Now the next The thing is impulse. What is an impulse? Now! There is no need to understand. Isn't it? later I will understand. But the impulse formula would be is force * time. Does everyone remember the force? Is? What was F? 1 1 -2 1 -2 very Excellent. Just multiply the time. Now Do it in your mind yourself. 1 1 and time joe That is -2 here there is a time multiplication Used to be. So how much will it be? is this thing Did everyone understand? what did you understand Everyone? Tell me quickly. very nice. Very Excellent. Awesome, man. What's the matter, friend? This energy motivates me a lot. She does. Come on, let's ask more questions now. Don't worry. Come on. Looking at stress Are. Which stress? Look, stress You will remember the formula in 2 minutes. Do you remember the pressure formula? What was the pressure like? Force by area. The same thing happens with stress. remember how will you do it? Do you feel stressed during exams? Is. Or you feel pressure. Both come at the same time. of the exam Pressure, stress of exams. So what about the stress The formula will be the same as that of pressure There is a formula. But we are already under pressure You have derived the dimension formula, right? very nice. Let's see the next one. Strain. Now Strain is very important. Why? Strain has a formula. this right now You don't need to read it. this work ahead Will come. Don't misunderstand the meaning of these formulas. Bus Memorize the formulas. what is strain Is? Change in length divided by original Length. ok tell me if there is a change in length Even if he goes, what will be his unit? the meter itself will remain. And here the length is its unit too There will be a meter only. i.e. meter to meter cut Will go. So can I say that this There is strain, what will be its dimensions? Zero. And these very quantities are called our These are dimension less quantities. Its I I will write the formula. How will I write? m0 l0 t0 and what is this? Dimension Less Quantity. Variant. Let the question come up many times It's already done on this. is dimension less quantity Or not? There is quantity. Let's have the next Coefficient of elasticity. Nothing happens. Memorize the formula. Stress By Strain. Strain is dimensionless. Forget the strain. tata bye to this Say goodbye. We need a formula for stress Do you know. What is stress? Pressure. Force Bye area. That is, its dimension The formula will be the same as that of pressure Which is due to stress. Very true. come next Go. Gravitational constant. Look brother, this It is very important. star mark in this too Do it. Understand, this is asked again and again. What is the formula? Force = GM1M2 Ye You might have read. You have seen this in ninth class I read it inside. I know it in the ninth You did not study. But remember the formula Is. Stupid boy. Yes, I remember. Ambulatory. now me Nor do you need to remove it. How will I get it out? First I write down the dimension of the force. 1 1 -2 is very simple. Isn't it? g take me out Is. How much will it be m*m*m? m² is Will go. what's down? Square of radius. What is Radius? It's just lengthy. so here But I write it down. Now I have this What will I do if I want to take it out? this here and take it down to the divide I will go. Isn't it? When I multiply this If I take it then it will become m1 l3 t ^ -2 divided by m to the power of -2 here it comes what do you do now to find the value of g? solve this Do it brother, what do you want to do, take it upstairs If it comes in minus then the final value of m will come power-1 to power 3 to power-2 to power of l Your final is over, very good gravitational What is the power of constant m to -1 power of l The power had gone and it came back just 1 minute ago Wasn't it so? That power had come to me. Power of three T-2 now you have come to shine Great fun, you have so many questions Now look inside it and you will see as many Ask as many questions as you want, son as little as if you had a formula What is surface tension? Surface tension formula There is force by length, now you have force Do you remember 1 - 2 what is the length divided by Bye l You will do it yourself, you will solve all the questions yourself I am not able to do it, let's do something else now I look at the important questions and this This question comes up again and again in the paper and kids do wrong thing which is plank Constant. Now people don't know What is Planck's Constant? Formula Understand, son. Energy is a formula Equals to Planck's constant. this is h and This is what you are seeing, don't you know it What is? This is the frequency. What is this? Frequency. ninth class sound chapter I had read about frequency. Now see, son = h new. This is the frequency. If I If I want to find its dimension then I have to calculate it I will have to take it here. i.e. h = e / well now Tell me what was the dimension of energy? Do you remember? Don't you remember? of the force I remember. Good work and energy dimension Beans. yes brother. I remember the force. Can I take out the work? How? work What used to happen? remember this. Work was force * Displacement. That means, what will I do? What was m1 force? m1 l1 - 2 here now But one l will be multiplied. Isn't it? here come The work is done. What now? It will be of work only Which will be about energy. But the problem is this What is the dimension of frequency? Look friend, there is a formula for frequency If you haven't read it in class 9th then remember it now Do it. The frequency is G/1. Equal to the time period. Whose? 1 / time Period. i.e. the dimension of frequency The formula would be t to the power of -1. These The dimension formula of frequency is Is. Those who have not read it, remember it. ok sir? What now? There is nothing now. of h The value has to be found out. e is already with us. e What is? Forest. L2 Power of T -2 / Power of T -1 What will you do now, son? Now what will you do now? You If you take it up then it will be -1 in positive Will change. yes above -2 came from below +1 How much is it? It's cut cut, right? cut cut cut The cut is done. Very true. Very true friend. Very Excellent. How much did it cost? hey idiot give me +1 Boy. very nice. here's your plank Constant. here's your plank Constant. Is this clear? What Is it clear? Tell me quickly. Tell me quickly Very true. Let's see the next one. Universal Gas Constant R. Now understand son this is also a There is a formula. I haven't read you yet will be. PV = NRT We have to find this R. Whose should be removed? This R has to be found out. Is it okay son? This R has to be found out. Now Try to understand here. what is this P Is? This is pressure. What is this V? Volume. What is this N? N nothing happens. n is constant. Deriving the dimension formula We forget the time constant. and this What is T? Temperature. If yes then write it down brother Write down the dimension formula of pressure. Remember There should be pressure, then forget what it is Have you gone brother by force of area force So if you remember, take it out, else turn the pages what should you do turn the pages okay yes, turn the pages, I had just written it Friend, don't make such a mistake, spare me a little I have two friends, so many of them mistakes are ok ji let's talk about the volume It will happen tell me This will happen, isn't it? What is its value equal to? We are telling you r which we need to find out the value of R. We have to take it out and what is this T, son Tell? It's not time, it's temperature. to the temperature How did we use to write? K was told in the beginning. ok sir? So now bring this K over here. So this final result will be your m1 to the power of 2, Power of T -2 and power of K also -1. here come what happened to you? Its dimension formula. Got it? Didn't you understand? look once again a bit Back up the video and then understand. Got it? What did we take out? R is derived from PV = NRT. Come on, let's not chase this formula. Isn't it? If you run after flowers, then life is yours It will get spoilt. what will happen son? Bad Will be done. In this I will ask you some questions I am giving it for practice. like a You will definitely tell me this question. which of The following quantity is dimension less. Which one is it? Tell. There is pressure. Strain. What was the strain? change in length Divide by length. yes brother. The strain that is It is dimensionless. That means there is option B. Let's see the next one. You should ask this question yourself Have to do it. What is? Force is given by f = mv² / r find the dimension of f , that means you have Find the dimension using this formula Is. Brother, I remember the dimensions. Oho I know you remember the force. But this Have to take it out from the flower. like the dimension of mass Do you know. Velocity's address. what is r? Radius. What is radius? Length. Take it out. This is your homework. solve by yourself Do it. Let's go sir. Now we move on to the next Towards the topic which is dimensionless Quantities. Let us consider dimensionless quantities Let's read. But before that, all these questions Get it solved. solve homework question do it. Otherwise, remember my lines. line What is? Potatoes in potatoes. Potatoes in the refrigerator I have sweets. you will not question it any more If you study, you will be beaten. Ok? I enter the camera and kill a lot I can, son. I feel like you I am online so you take it as a joke had been. Are? You are joking with me. Let us go. Dimensionless quantities are already mentioned I have done it. quantities that have dimensions It is zero. m 0 l 0 t0 I have already told you Am. Now you will need some dimensionless quantities. Will have to remember this. Isn't it? sometimes when someone Who knows, ask me while you're on the go, brother? Isn't it? Your father in law should ask you what do you know Brother? If it happens, anything can happen, friends. Let's see. like the first strain is me I have already told you. The next one is Refractive index. Refactoring index Whatever happens son, you studied it in 10th class What was inside? speed of light in air Divide by in that medium. So both speeds It is just that. Speed ​​cuts off speed. Isn't it, son? So what is this as well? Dimension less. Next is the Poissonance Ratio. What is Poisson Ratio? right now you There is no need to understand. But this too It is dimension less. Next Relative Density. What is relative density? There is no need to understand that either. But this too It is dimension less. miss you so much Have to keep it. Apart from that some quantities like That pie is pie, right? Have you read pie? Pie. Isn't it? this pie which is also It is dimension less. it has no dimension It doesn't happen. Isn't it? some numbers other than that that you would study in chemistry, such as There is a number called Agadro number. what would have happened Is? The Agadro number is 6.022* 10 to the power 23 this is the complete number It is dimensionless. So some small things like this Things happen which are dimensionless. You have to remember this much, I mean you have to remember it, son. Now let us move ahead quickly. Let's go brother Now a very important concept is coming which is your what? Principal of Homogeneity. This is very important, son. Understand carefully. Why? because from here The question can definitely be asked in your paper. Is. Friend, look, this is the first chapter. Showed excitement. Make all the questions. All the questions of all the books are solved You will give it. See Principle of Homogeneity what happens? Let me explain you an example. Suppose I give you a homework Rahul son Rahul son 10 kg + 10 kg how much is a? what will you say? You Will you tell me brother, have you become a fool? Children You are asking these questions. Everyone knows 20 kg. Isn't it? But first I will slap you Will I beat you for calling me a fool? and then I will ask you a question. now tell me this 10 kg + 10 cm. how much is a? Tell me. now anybody if someone wrote 20 now if someone else wrote 20 If you give it to me, I will bring the dumbbell back. Isn't it? Tell. Hey brother, this cannot be an ad. It can't be an ad. Why? Because their The units are not the same, right brother? That means do I I can say that I add those same things I can do it whose unit is same. Yes. Is this true in subtraction too? Is it allowed? Absolutely. hey tell me are you 10 out of 10 kg 10 out of 10 kg Can you subtract centimeters? How do? how to do it? You can't do it, right? Why? Because here also the unit is different. So can I say it? we can only Subtract and add in the same unit. Absolutely. This is the principle of homogeneity. what are you saying? principle of homogeneity of one dimension states that an equation is Dimensionally correct. Dimensionally correct. only if the dimension of each terms on the Both sides are equally same. Let me explain. Don't be confused. First of all these wordings isn't it, you should remember them because for the paper The question is asked inside. means what are you saying Is? Let's say I add something. 10 How much is kg + 10 kg? 20 kg. Now this The unit values ​​of all three things in the equation are the same Should be. That means this will also be the same, this too It will be the same, this will also be the same. It is not like that Not 10 kg + 10 kg = 20 cm. No I can write. The units must be the same. that is That thing. i.e. Principle of Homogeneity It says if you do additions, If you do subtraction, your unit will be the same. Needed Now suppose there is an equation. accept it There is an equation a + b = c. A's Joe There will be dimensions, look, they are just units There is dimension. Did you understand it? What did I tell you? The units will be the same. What is a unit? Dimensions I can only say this. So what do I say I can say that its dimension its dimension will be equal to and the dimension of both of them It will also be equal to this. I can say no to these The dimensions of all three will be the same. Yes or no? yes or no son? I can definitely say it. Now Let us come to some examples. Some? I have an example. such as an equation You had studied about motion in class ninth. v = u + at Did everyone read it? yes read this Was. Can I say this from this equation I am sure that whatever its dimension will be, it will depend on its size. will be equal to the dimension. and the same for will be equal to the dimension. you will speak It will definitely happen. Let's prove it. How? Write velocity dimension. Hey idiot child what is this? Initial velocity. Its The dimensions will also be the same. lt- and Acceleration * Time. Write its dimension. So see what is acceleration? The acceleration is lt - 2 for this Who are we multiplying with? This we Who are you multiplying by? On time. With whom? We are on time. when you multiply So will the final answer come? lt - 1 which is Both of them are equal. i.e. the principle of Homogeneity has been proved that yes, this is It is dimensionally correct. What is? It is dimensionally correct. then such questions come up Are. will give you some equation and Bolega prove that it is dimensional Correct. So what will you do? Its dimension You will find the formula. He will do the equivalent of And then you'll do the equivalent of that. Simple. Some? Let's ask questions and you will get clarity and We will be able to become stronger. Let's ask some questions It should be applied son. What are you saying? Come on Let us ask questions. What is? Using Dimensions Analysis checks the correctness of the following Equation. You need to check and tell me whether this Whether the equations are correct or not. Ok? Which of these equations will you find correct? Can you see it? check it out once quickly I will do it and tell you. I will check it and let you know. Such as Like I will check it out. Isn't it? s = ut + 1/2 at² is this equation This is telling us what the dimension of s would be It will be equal to this and it will be equal to this This must be what she is telling me right, so let's go brother s There is a dimension, only Displacement is simple l no brother i forgot Go how much is a u*t u*t? ok u is l1 and t is power of -1 right and t We are multiplying by, that is, by time If you are multiplying then that means here also what will happen if t becomes zero then this also what has happened it has come equal to l very good now let's look at this 1/2 at² look at this It is constant, forget it as it is I forgot you son, you are constant You should also forget about them in the same way as if she had forgotten okay let's go at² now look do you know the unit of acceleration Which is what happens. Say. very nice. now here But if t2 is there then these two will be multiplied This will become zero. i.e. what is coming here Went? I have arrived. That is, it is dimensionally correct Is. This is dimensionally correct. So this is how you Dimensional Correctness Other Questions has to be checked. This is your question. You will check this also in the same manner. its this will be equal to this and this will be equal to this. This is a very important thing. Isn't it? To them You can check it by yourself. of the same type There is no sense in asking too many questions Is. We move on to the next type of question On this side which is at the top of your screen. Let us go Brother, the question of ₹ 1 crore will come, son Solve it quickly and tell me. Let's go quickly Could anyone solve it? well you like that I don't think that 11th class will ever be bigger than 10th class. How different it becomes. Isn't it? for this very reason I am telling you to remember one thing. 10th class Marksheet and 10th love never came in life It's of no use. Ok? The value of both It is zero. Are you understanding the matter? Yes, very nice. Now you have come to 11th, right? Now you must have known the truth of life. Come on, let's see. let us consider n The equation is 1/2 mv² = mgh, right? What lyrics Used to be? check wether this equation is Dimensionally correct. look at the constant Forget. m and v². Isn't it? What is v²? lt-1 what do I do with this? Its I I will square it. Ok? This is equal to Who should it be? what is mgh m? Mass. ok g what is it? acceleration due to Gravity. So the acceleration that will happen is yes. That means l2 - 2, right? lt - 2 and h what Is? Height. Height means length. Let's go sir. Now Let's check this. then it will come to you What? m1 to the power of 2 l to the power of t -2. What Will it come out equal? Let's see. arrived here Power 1 multiplication of m is done. of l power 2 and t to the power-2. Are these two Did things come to an equal level, son? I have definitely come. This means it is dimensionally correct. Did you understand it? There is nothing new. This is how we check dimensionally correct Son, there is nothing new in this. Like this question I will show you. This is a very good question, son. be careful Look at this. what are you saying? If x = oh The words of x came back again. x = at + bt² What is are you speaking? x = at + bt², right? in which x What there is is distance. I said a lot Excellent. Well, t is time. I Very well said. So this is saying that you Tell me whose unit? then the unit of B you B what to do? Tell me the unit. Now understand this The dimension will be according to its dimension will be equal to and the same will be equal to its dimension will be. Well what is this? Distance. So What happens to the distance? hey tell me Buddy. What happens? Same thing happens. What? These will be equal to a which we have to find. into this What is? t. What is T? Time. very nice. And who will be equal to this? b which we I want to take it out what is here? tell t² Yes, will all three things be equal? Quick Look and tell me whether these three things are ours will it be equal? They will be exactly equal. Brother There is nothing to think about in this. Correct Is? Now let's take them both out. a and b We will find out the dimensions of both. Look at the most First take this t over here. So what is the value of a The dimension will come, how much will it come? lt- 1 This is what a has come for. well what about b Will he come? Let's see, son. What is b equal to? is equal to l. So bring this t over here. So see the dimension that will come for B. How much will it cost? Power of L T - 2 in Dimension Is. Now tell me its unit. What is L? Length. In what does length count? Meter or Whatever kilometer is given in the question. Here we have been given kilometers. I He said it's ok. And what is this? of the time Square. So what can we say Kilometer per second squared. Are we this Can you say it? I can definitely say it. Then, Your answer has arrived. Isn't it? then the dimension Removing it also clears the unit. Ok sir. Ok sir. Ok sir. Do you understand this Are the fools coming? It is not like that He is doing it over his mind. One of it You can also try the questions yourself. Is No? I mean there are a lot of questions about this Well, that's enough. no question above Comes inside the paper. Absolutely. Let's move on now Let's move on to the next topic. which in this chapter It is considered to be the toughest topic. but why To fear when prashant bhaiya is here. I Yes friend, I will take care of it. See tough topic what is the name of? The name of the tough topic is Applications of Dimensional Analysis. As yet Whatever you were doing, you should adopt this process Dimensional analysis says that both of us Let's check the dimensions on the side. Isn't it? Its It is a very big application which has a lot of tough work The questions come. I will get it done. his name is Deriving formula. That is, we can bloom at any You can derive the . Really? yes, do it Can be done. Not the complete formula, but we You can derive it. How? taking an example yes brother. What is an example? In the question as given will derive the formula of the Time period of the simple pendulum. Pendulum Find out the time period of . The pendulum hangs such that hanging hanging yes time period of the pendulum Take it out. And what is given to us in the question that what things are related to that time period Does it depend on? Look at us, son The question is given as to whether the pendulum The time period given depends upon two things. What's the first thing? Length. how long is the length Is. The second is acceleration due to gravity. Now I am telling you the step by step process. It will be a little tough but it will be fun. look at do What is? We know the time period is Which two things is it related to? on g and l We don't know what the power of g will be? What will be the power of l? what directly Is it proportional? Inversely Proportional Is. So what do we say? t is Directly proportional to l power of x I accepted it and I took the power of g to be y. I accepted the power above. assume this remains. What needs to be done? Assume. It is a step by step process. all The questions will be like this. I assumed I took it because I don't know x one also came can, two can also come, y can also be one to something can also come. Ok? Now this constant is To remove this I am going to put this here To remove proportionality I am using a I will apply the constant. has it arrived? of l power x and g to the power y, right? Now this He is constant, son. What should I do now? I will do dimension analysis. Dimensions What does the analysis say? The dimension of this It will be equal to their dimensions. Because this is a constant. Constant There is no value of it at all. Such as You don't even have any value. his life I am in my life. Isn't it? For me You are lovely people. Ok? so when is the time Isn't it? Forget it. ok tell me this what happens? Is it the length? l would write it down Am. I put x to its power. Is No? See next g acceleration due to Gravity. What is acceleration? lt- 2 And what is its power? The power is y. Correct Is? What should I do now? Keep watching, son. It is very bent. l to the power of x and here what will come? it will come here l power y and t to the power of -2y Ok? Now multiply these two I will do it. What will I do with these two, son? Look carefully. Now what do I do to these two Will I do it? I'm going to multiply. Ok? What am I going to do, son? Now I'm going to multiply. Now watch Son, whatever comes, whatever comes, what will come? Look, x + y to the power of l got added, right? Is No? If you multiply then power gets added They go away. Isn't it? Here comes the power of L and T have you arrived? - 2y Okay sir. ok sir. Now What should I do? Now I am dimensionally son I will check it. what will I do? See What will I do dimensionally? I check the I will take it. How? The dimension here is These dimensions should have been equal. It's a bit complicated. I am understanding I am on point. Keep the butt focused. Just keep focused. The dimension here is equal to this will be. How do you know brother? look here at t What is the value? -2y and what is here? Forest. So can I say it? Can I Can I tell you? look son i am here I am going to write. the power of t was -2y and What was there? The power of t was 1. is this Will both be equal? Absolutely. So can I write -2y = 1 yes I can. Look, both have equal power Is. So I write it like this. then the value of y is The value came out to be -1/2. Is the value of y Have you arrived? I have come. Now how to find the value of x? So look carefully here. The value of l What is? is x + y. is there anybody here Is? Not there. That is, here the value of l is Zero. and here the value of l is x + y so can i write 0 = x + y yes bro you can write the value of y we have got yes it has been solved now 0 = x - 1 / 2 If you take it here then the value of x will come it went away and came to 1/2 the value of x became 1/2 now Look, x has also come, y has also come, that means two things Now let's come back to the question What did I delay in the question? This was I have an equation so I have put it in the question Now put the values ​​of x and y here hmm it is right? So I'm going to write Son time period = k which is a constant. What is the value of l? hey tell me friend that The power has come back to 1/2, right? and what is the value of g I? -1 / 2 -1 / 2 means that the coefficient of g let me move the value down here and add 1/2 well what does 1/2 mean? Root. What happens? Root. So should I write this Can I? t = k l / g because both are to the power of 1/2 1/2 Was. So what did I do? The route was installed. clear? Is this our formula derived what did you come Absolutely. and this is the formula Time period of a pendulum. just here k We cannot find the value of . But after you I will go and study it. The value of this k is 2π. There is no need to remember that k. That's all you need to figure out. Did you understand? what did you do? I know there must have been confusion. Take a quick look at it again. what to do We got it inside? its another question I will get it done. Don't worry. what did you do? I know There is a relation between two things. what are two things Is? One is length. The second is g. I have the power I agreed. x y ok brother apply constant I have given it here, now what should I do I will do dimension analysis i.e. both The dimensions should be equal. Its dimensions t is the dimension in square I figured out So they came to the power of l x + y and t power -2y I know the dimension here is t is one of and here it is -2y. both are equal Should be. make the equation and find the value of y Went. I know the dimension of l here There is nothing. is zero and here x + y Is. Then the value of x + y is equal to Will she go? Of zero. Now both these values ​​have come. I just put it in. The answer has come. These Son, there are a lot of questions. in What do we have to do inside the questions Is? Basically they keep driving us. Isn't it? we keep deriving formulas Are. The next question that I'll ask you now is I will make you practice. this question a Look at the bar quickly. Come on, someone solve it found it? Let's see. Using Dimensions Analysis derives the formula that relates Centripetal F. what are you saying? Is Centripetal force is related to three things Is. one is the mass, one is the radius, one is the Velocity. There are three things. so what are we Tell me will you write? Directly Proportional to x to the power of m okay? Radius y velocity z What did I do? taken x to the power of m. r The power of this is r, son. This is r. This we y took it. Took away his power z. Ok? Now Both should be dimensionally same. Isn't it? What shall we say first? We here at a I will apply the constant. k m x ry and v ki Power z what will we think of them now We know that we are dimensionally correct what is the dimension of good force son write m1 l1 hey now I remember it It must be so, I have told you 10 times, 10 times now You must have remembered, right? Let's go here now. what is it look it is mass right say m to the power of x okay we will multiply it what is this what is this distance it is just distance Your power of l will be y. Good, Tell me what happens to velocity? What is the unit of velocity? Velocity what happens to you tell me it is lt - 1 right? But What is its power? z so what will be z? There will be multiples. That means it will become l power z and t to the power of -z right? So to these With whom do we multiply it? of l to the power z and t to the power -z. ok sir? Are you understanding it? Solve it yourself. Yes. Ok? Now let's solve this further. Let's multiply it. then it will come here What? look m to the power x these l both What will happen if it is in multiply? Add It will be done. power of l+z and t-z is ok Yes, our final has arrived. this is the dimension yes it should be equal to this. to be equal Needed Now look what is the time here? -z what is the time here? -2 so what should I say I can definitely say -z=-2. Minus was cut off from minus. The value of z is arrived at Son two. have you arrived? The value of z that came out She has come too. Simple. Ok? The value of z is It has been done. ok what will be the value of x? Look at the forest here. Here x is the sum of x The value has become its own. very nice. z also come Went. This has also arrived. ok now this is left so Look here, what is the value of y + z equal to? will it be? It will be equal to one. Tell me here is forest Is. I know the value of z, which is two. Isn't it? Which is two. You know it, right? hey know Don't you know? Do you know. Isn't it? so see it Son, there is a forest here. will take it here So the value of y will be -1. What is it? -1 Is this what came? i.e. x, y, z all three The value has arrived. Now I don't have to do anything Is. Now put me in this formula Is. Isn't it? look son. Now what have I done Removed? Force = constant k * mass k Came? Monthly income x1. look at the value of x what did you come Forest. okay brother? Ok, Velocity what did you get? z. what is z? The value of z is to mean I can write mv² is not m so power one is v squared and and See what radius came here -1 right? what did radius come -1 so what i finally I can write this as f = k to see Why do mv² / r divide by r? to r Taken down, it was -1. This was the formula This is your centripetal function. Now here the k is a constant, we cannot find its value I can brother. By the dimension formula we cannot We can find the value of the constant. Ok? So it's yours. Got it? to such questions We are driving. It is very simple Son. If you practice a little bit, Will go. I will give you these questions as homework I have been. Take a screenshot. Isn't it? These The question is the same. What do we have to do? We need to find the formula for frequency Is. Frequency depends on three things It has been happening. On one tension. What was the tension? On the brain. Tension. Think about the tension Was there a formula? Use your brain. Isn't it? Who all know this? Let me know in the comments. What is the formula for tension? Isn't it? Linear mass density. what is mass density it occurs? And next is your length. So three What do we do with things? derive Is. Come on, try this, son. Isn't it? Well, this also ends your matter here. ok tell me about dimensional analysis What are the limitations? Is there any limitation? The first thing we do is to find the value of the constant Can't take it out. That means we are exact physical Cannot get the quantity. Isn't it? The constant was coming, right? We found its value I can't take it out. So one by one its They look at the limitations. can not find the Dimension less quantities. Some quantities They are dimension less. them we do not Can take it out. Like the Constant That It is dimension less. Isn't it? The Next Can't Be Apply on non-algebraic functions. That is, there are some functions such as trigonometry etc. are included in it Cannot use dimension full. Next Cheese ignores quantity nature. That means to you Dimension full does not tell that your The quantity has come, the one that has bloomed, is it a vector quantity or a scalar quantity He is there but doesn't tell. Just remember them. one-e two-two three-three point ko pales ive quantity depends upon more than three Variable. That means if your quantity is more than three It depends a lot on variables. i.e In the question that we just saw, There were three things. These were the three things, right? Is No? It was depending on these three things. If there are four variables here then do not do it Can't solve it. Ok? That is his limitation. The last cannot derive equation containing Addition and subtraction. That means, from here, we When we are multiplying these three things We can remove such things, right? But we know things related to addition and subtraction We can't take it out. Ok? these are some five There are limitations, son. remember one by one By doing. Just this, sometimes inside the paper He asks me to tell him the limitations. Isn't it? Well, not much will be asked. Let's go a lot Correct. Did you understand it? Now let's grow our Moving on to the next topic which is significant Figure. I will add the heading quickly. Significant figure. ok sir? ok sir? Let us go. Isn't it? Significant figure. Number's We are talking about it son, the figure is not that one Neither she is not that one nor the boys would be happy Hey, listen, yes look son, remember one thing Remember one thing, you too have some friends there are some boys which means yes they have more qualities than any other boy Let's go and talk to the girl, I have noted it down You have some boys who I'll go to a bar and talk to girls Let's become friends with the girls The ones whom you call bestie, isn't it bestie and What do the other boys call him? You already know it. Isn't it? So, so that means, So that means, you don't have to become the best. You have to become the best in your studies with. Isn't it? because at this time studies You need to focus, friend. came in 11th Yes, you have grown up. Now a little focus I will do it. Isn't it? after all the rest In. Let's look at significant figures. What is a significant figure? Nothing is there some such figures, that is, some such numbers which It is significant. That means for us It is important. Let me give you an example. You You will be shocked. do you know how much is inside it Are you a significant figure? 1 2 3 you will say It's ok brother, there are only three figures. you said Diya has three significant figures. at its How many are inside? Tell me the number. 1 2 3 4 5 on There are no five significant figures here. There are only two significant figures here. You What will you tell me brother? this is cheating cheating you do it. I said I don't cheat Am. There are some rules. to follow the rules They fall. Let's have a simple rule. Five There are rules. You have to remember those. To extract significant figures. Must have studied chemistry also. did not read If it is there then I will read it to you right now. look at the first thing All non zero digits are significant. Any digit other than zero will appear Will it remain significant or not? As How many significant figures are there in this question Are? Two. How much is there here? Three. Me It doesn't matter what the value is? if he If it is other than zero then we count it do. We will value it. Isn't it? Let us go Let's see the next one. zeros between two non zeros Digits are significant. That is, assume that So what happened now? that of two non zero digits A zero came in the middle. Now the value of zero It's done. You came in between the two, right? hey bro Now, we have value. Now we have you You will not be able to ignore it. Now let us count It will have to be So, we will count this. 1 2 3 1 2 3 1 2 3 4 5 6 Zero came in the middle. Zero Beach I came. Brother's value has been realised. Let us go. Let's see the next one. Let's see the next one. 1 minute. Let's see the next one. Where did it go? Yes. Look Next What is? Let's look at the next rule. Rule Number Three. Leading zeros. try to understand to see to do. If in any question, any also from the significant figure in the question First, we do not give value to those who are zero. We say you came first Coming later from Significant Figure. If If it comes later then we will value it. But Don't you do it first, friend? Your value. Ok? So look as if 0 point came first, zero. Forget this. forget 1 2 3 here Go. Only three significant figures Must be. Are you understanding? look at these two here You came first. These have no value. But It's in the middle. He who is in the middle is happy. It has its value. so how many are here Will it be? 1 2 3 4 How many SF will it be? SF What happens? Significant figure. I I will use the short form SF. Ok? Four Have become. This is rule number four. now rule Look at the number A. What is the next rule number? These It is also very simple. Decimal Points R Significant. That means if we write decimal somewhere Let's apply it and after that if zero comes If it is there, then its value increases. Like as I tell you. See the question. 21 0 21 0 how many Are you a significant figure? 1 2 count this I will not do it. Why not? I What did you tell me? Even if zero comes first Will not give value. if its coming later then Will not give any value also. if coming in the middle If it is then I will give the value. Isn't it? come later Used to be. How many will you count? How many SF Are? There are two SFs. Isn't it? but if right here Get points for the question. What might happen? Let it become decimal. like 2.10 so now this Bhaiya we will have to calculate the value of zero because The point is hit, brother. Isn't it? So the point Later if your result is zero then brother it is zero We have to respect it. Necessary It happens. So how many are there in this? Three SF. Now Look, there is a zero after the point, so 1 2 3 It's 4, right? 1 2 3 4 5 If after the point there is zero If it comes then you will have to respect zero. Is No? But if there is no point in the question In. This is a question 210 so what would you say? We are not counting. Ok? We do not count are. But if the point comes son, then we Zeros have to be counted. Ok? Is No? Did you understand? Like I give it to you I have paid 210. There is zero here. Cut it. Ok? Let's look at the next rule. next rule What is? The next rule tells you this. I I am not reading out the rule to you because It is of no use. you have to take it out Needed That is more important. So look like this is the question 2.10 what did I do told? If there is a zero after the point then We will count that. after the point if any If it is zero then we will count it. Point K Afterwards, if there is any zero then it will be counted. How much? 1 2 3 4 1 2 3 4 5 Do you understand? Are you understanding what I mean? Yes. Now you got caught You? Very true. Did you understand the matter? Let us go Let's look at the next rule. this is the exact number It is very important. if anywhere a You will see the exact number. Such as Suppose I buy 7 apples today. Do you know how many significant figures there will be? You will say one, I will say infinite. What should I say? Infinite. Why? Because If I know a fixed number then How can I write to him? 7,000 no matter how many zeros I put. and point's The zero that comes after that is valid, brother. Is. Yes sir. That means yes. it became clear? Glow Went. very nice. Apart from that this is also the rule It is important. Whenever we give power to anything If I write it then we don't count it Do. like look son i wrote this 3.45*10 Re to the power 6. So those who are in power Is it true that we don't even count this? Only We focus on this. 1 2 3 Watch Now Forget raising 10 to the power of 4. 1 2 3 4 How many will be in it? There will be four. Got it? No Got it? Ask questions and understand. Question Try it and you will understand. Big and simple These are lovely little questions. Tax Will you take it? Let's go and solve this. See 0.0047 Now you will say Bhaiya after the point If there is zero then count all these zeros It will have to be Oh no, what did I tell you? If Zero comes first Zero comes first of these digits Then zero has no value. Yes. What is this? This one is before that. one also one Also no non-zero digit came. Isn't it? so I What should I say? neither its value nor its value neither its value nor its value What is the value of just these two Significant figure two see next next Look brother, look next, what is this of these three There was a value, now look, after the point, there came zero And first the significant figures came, first these Once you get that figure, now you will respect even zero Brother, clap your hands for zero now If you get respect then how many did you get overall 1 2 3 4 5 Look, these have no value now 1 2 3 Forget it brother, the value of these four - 1, 2, 3, 4 If it must be so, then it will be four for them. well its I will tell you a trick if you are getting confused It is so. Whenever your value is less than one That means if there is less than one then we can count zeros I don't do it. i.e. from a significant figure We do not count the first zeros. If the value is smaller than one. Ok? If is greater than one. If is greater than one, then we I am putting points. if we are putting points If there are, we will count the values. For Example not greater than one If 1.03 point is applied then the value of this zero It's done. How many of these are there? It's three now or else 1.001 2 3 4 understood, will you ask the question 11 student exact number will be solved How much will infinity be? Tell me what is 9200? is there any point until there is a point i What did you tell us not to count zero? The previous zero does not matter as much as the next zero It doesn't mean that the zero in the middle means an antil Let there be a point without a dot, let there be a decimal Okay, so cut them, just two. Tell me if this would happen then is there any value to it No, there is no respect. Isn't it? Isn't it? like you when you keep messaging And no reply comes. no problem baby. Look how many are 1 2 3? Three. After the point It is zero. If there is a zero after the point then the count It has to be done brother. Let's go sir. come forward And let's see the questions. Isn't it? which of The Following has three significant figures? Who among these has three There are significant figures. Okay look at this. is less than one. 1 2 3 Forget it. Ok? The nine has arrived. Now coming after nine Zeroes. The subsequent zeros in the point yes, let us count them. I told you. So That means what will we do with these three, 1, 2, 3? I will count it. So this answer is correct. Three There are significant figures. look at this one. Its How much do you have? 1 2 3 There are three on this too. Very good son. look at this too Will not count. this doesn't count either do. Why? Because I came first. But whoever comes after the point is scored So let's count. 1 2 so two come in this. Check this out. 1 1 2 3 So that makes four. Four have arrived. very nice. does this matter Is it cleared? Did you understand the system? Tell me quickly. Any problem, any dilemma? no problem, no Dilemma? Like you will tell me the answer inside the chat. Number of Significant Figures In 11.118. This has no value. 1 2 3 4 5 I am not singing a song, son. Five Have come. So the answer is C. ok sir. Now come on towards our rounding off which is bigger It is important. It is very important. Attention Understand it son. What is rounding off? Basically we need to round off things It happens. There are some rules for round off. There are only three rules. It will be fun, you understand Will go. assume as if assume as if Let the question come, let the question come that Round 4.634 to three Significant figure. So what do you do? First of all you have to see this third Which is the significant figure? This is the first one. This is the second one, this is the third one. Ok? Now What do you have to do? the thing beyond that I have to see it. What's here? It is four. Now Understand the rules, son. If the Third Significant If the one ahead is less than five What is? if you have less than five then what are you Will you do it son? So you will not do anything. This You will say tata bye-bye and write the answer Will you give me 4.63? if this is more than five for example this would have happened 4.636 So you know what we do? is six and put +1 here then this How much would it be? 4.64. Ok? Now you will say brother leave all this. If it becomes a five, that means if this 4.4.635 is done so what to do now? from five I told you too much. If it is less than 5 then tell me Gave. What if there are five? either Got stuck. I said you are not getting trapped. See What will you do now? if you are five, you You will see the digit before five. and here But the rule is if that digit is odd then you get +1 You will do it. If it is even then you will leave it like that yes. Ok? Beans. So now look at what is in it Is? Odd, right? nor the digit before it It is three. What will you do in three? +1 tax Will you give? What would you have done if there was a four here? So what do you do? You should have removed this five. Balance Don't do anything. It would have been 64.64. Just got it? Let's do it with some questions. Come on. Let's round off. Let us go. round of the Following into three significant figures. You have to do it up to three significant figures. Is. Where is the third significant figure? 1 2 3 What will you do? the next value You will see. Will you see this? These are four. is less or Not there? It is less, right? So just forget them you will go and write this down 1 2 3 just give the answer Went. Got it? Let's see one more. good in this How many significant figures are there? These three are It doesn't exist. 1 2 3 4 right? Third Which is the significant figure? This is it. From this You will see the next thing. It is six. Five is more than. So what will you do? plus one tax I will give. So this will come to 0.098. ok sir? Understand? look at this one. 1 2 3 fourth one what is the fourth one tell me Dude what is the fourth one if yours is greater than five then what will you do +1 You will give it in this when you do +1 then what is this It will come when you add +1 to it, see 1 2 3 This was your third significant figure now what will you see you will see the one next to this five If it is greater than then that means add +1 to the previous one If you give +1 then it becomes zero and you get one carry There's another zero here, right? If you get one carry then this is yours 6.00 Has it arrived? 6.00 Okay sir. 6.00 So many like this Questions are significant figures To calculate. Isn't it? Understanding Rounding Off You went, right? Is there any problem? Let's have a Ask some more questions. 1.35 so put it under significant figure Round off. First second. What's next? Five. What will you see now? Previous number is odd is it even or is it even? It's odd brother. What in the odds did you do it? , 1 came and shone. Now you will understand. Come on let's go ahead Let's increase. Your topic comes next Operations. Yes brother, he is going to become a doctor. Hey, not those operations brother, those ones No operations. Now we will do significant Operations of the figure. That is, suppose you have addition Have to do it, have to do subtraction. those ones There is a rule. A combination of multiplication and division There is a rule. Let us understand with examples. Look when also if we are adding something then we Decimals have to be kept in mind. For Example: this is the rule, son. for example Suppose you want to add this. Adding Is. Ok? How to add? like you You have to add it or it will be 12.11, add 0.3 And you will put a zero next to it. If you add me then come How much will it cost? Forest. This will come four. here come I will go to you. Here comes the forest. so 1 12.41 this is Yours is gone. This came, 12.41, this is where it came, right? Yes. Is this the correct answer? No. no this It is wrong. because in significant figures We have to do the addition in a different way. Yes, this is a different kind of edition. Do you know What is? There is a rule. The rule is that you will see this. The things you added. the things which You added their minimum decimal place What is? Like I added it. How many people were there after the decimal? two people There were, there were two digits. How many were here? One Was. what is the minimum brother? The minimum is one Is. So that means we have to round off the answer Will have to bring it into one digit. How will you bring it? There is a forest here. You will see the forest. you would say forest is less than five. Isn't it? then forget the forest Are. So here it comes 12.4. Did you understand it? even in subtraction Same thing, same thing in the edition also. what are you doing My son? I am not doing anything. my I am doing a very simple thing. What? Oho tell me friend We are looking at the lowest decimal place. One And I will ask more questions. You will be clearer than that will get. 5.33 + Add 2.32. How will you add it son? Tell what will come? I have to add them once. 7.7.653 Here it is. But is this answer correct? Is? No. What was the minimum decim place? The minimum decimal place here was two. Here But how much is it? Three. then convert this into two have to do it. how will you do it? Will you see this? Oh If this is less than five then you will follow me. Ok Brother. 7.65 what? Is the answer correct now? absolutely fine Is. Whether it is addition or subtraction, it is like this It has to be done. Clear this thing. Now Let's talk about multiplication. The rule of multiplication is slightly different. For example, what do we need in multiplication? do I have to do it? I will give you an example Am. Such as 1.1.02 1.02 * into whom should I multiply it? I multiply it by one only. Ok? I do it from the forest itself. What will be the answer? You will say brother the answer will be 1.02. but what Is this anser correct? Multiplication and Division There is a different way for this, son. Understand this. Decimals I do not see it. what is here here Will you see? Here you will see two things has been multiplied or divided, in which What was the minimum significant figure? In this How much was it? Three. How much was in it? One. so which There will be a minimum significant figure in that You have to write the answer. That means I have a Write your answer inside the significant figure I have to write. How will you write? I saw you here. You saw that 'two' doesn't have any meaning. So I wrote 1.0. how significant now Did you get your figure? It became two. That makes two, right? Now What would you do? You will forget this zero also. These Your forest will come. So what is this of yours? These Your final answer. Did you understand the matter? How? We What are we doing in multiplication? In multiplication we use minimum significant Looking at the figures. This is a lot. Some differences in both multiplication and division Let me ask questions. You will understand from that. Come on come. For example, suppose I have these three things Have to add . Add these three things once Please tell me how much is coming son? Quick From. How much will it cost? do these three things once Add it quickly. How much will you earn? here come must have been 31.31 2 3 This must be coming. Add all three On doing it. Get this added. Now look. is this Is the anser correct? No. Minimum Decibel Place How much was it? it was here on two it was here One. So, bring this to the one decimal place. It will have to be How will you bring it? Will you see this? oh If it is less than five, remove it. less than five is removed Two. So here it comes 31.1. Got it? Now let's look at a multiplication Are. look if I have these two things Have to multiply it. Calculator help now If I don't do it then I have written the answer below Am. When I multiplied these two So the answer was 8.55. Yours might have also come. But is the answer correct? No. How? Minimum Significant Figure How much is it? here are two and here are two Three. So in which form should we write the answer Will it matter son? Within two. But how much is this Is? It's in three. So what should I do? Here But there are five. oho if five after five If it happens and there is odd at the back then what should one do? Am? I will do plus one. so what is the answer will he come? 8.6 shined. Did it shine or not? What do we do in multiplication and division Is it true, son? Did you understand this? Is this the thing Did you understand it? Let's ask another question You will get more clarity about multiplication. Look express the result of 0.0 points. This is your value. This we We are multiplying it. Multiplication we did it. This is the final answer. is this Is the anser correct? Minimum Significant Figure How much is it? Look how many there are here? Here But it is. Just forget about these. 1 2 3 is here Three and here's two. How much will you write? In two. I want to write the answer Inside Significant Figures. Look at the answer. Isn't it? Will you count these two? No. These Will be the first significant figure. this will be Second. Isn't it? Have to write within two. So now I will look at the previous one. What is Number? Five. I will come back now. It is an even number. So don't do anything. Write down the answer. 0.026. Here comes your too significant Answer inside the figure. What is? I understand the point I? Yes, it might seem a bit complicated Is. But question practice is important. this is it I'm telling you don't give up Son. you don't give up so soon If yes then it is not fun friend because I I know you can do it. You have passion. You can do it. Ok? I have one more question. You will try this. Your homework question Is. Take a quick look at it once. Have you seen it? Look, what is inside this? give each side I have given you the cube and told you this Tell me the total surface area and volume Tell. How to calculate volume? Us All three sides have to be multiplied. Isn't it? To multiply. So when you If you multiply then this will be the answer. But remember put minimum significant figure here How much is it? 1 2 3 4 so four are significant You have to write the answer inside the figure. quickly Write to me and let me know in the comments. Let go Yes, is it clear till here? So moving forward Are. Isn't it? Now comes our next topic Which is a very basic topic. But Because it was asked during school exams goes. I will not explain it in detail on the face of it. Then we will move towards the error. Error is a very important topic. Very It is an interesting topic. Last year NCERT The error was removed from . But this year If there is an error in NCERT then answer the questions from it It can definitely be asked. Ok? Least What is a count? Least Count Large It's a simple thing. Minimum any What is the minimum amount of data we can collect from the instrument? Can you calculate it? we call it that Least count. that is least count is the smallest measurement that is an instrument Can provide with accuracy. for example You should have seen the scale. have seen the scale you have? How is numbering done on the scale? 1 Cm. 2 cm They are like this. on that 1 Cm. There would be 10 such lines inside it as well Are. Have you seen it? There are 10 lines. Have you seen it? Yes. So our minimum scale address how much can he do? Do you know how much count Can do? 1 cm Divide by 10, that is 1 mm. That is, if I take the least important step of my scale If I tell you the count, it will be 1 mm. then least What is the count? that your instrument What is the minimum value that can be calculated Is. It's just simple, did you understand? in brightness scale Look, there is 10 linings in 1 centimeter Was. There were 10 lines. i.e. minimum I am 1 mm I can calculate it. Isn't it? Now two or three instruments would have come here Are. One instrument is your screw gouache. I know it was shown at your school He might not have gone. Inside Manly Schools I know the condition of schools. but yes if It is not being shown anywhere. Ask the teacher. Sir what is this screw gotch? Vernal Cariousness what is on? Ask. Ok? Now in detail I will not go. Now you understand a diagram. Just what does a screw gouge look like? Screw Gauge I look at two things happening. i you Let me explain. Isn't it? look the first thing This is your circular scale. This is one such There is a scale by rounding. Ok? And This is your main scale. There are two scales. Circular scale Main scale. Circular Scale Main scale. Ok? Now your like this The instrument is visible. where does the question come from Is? The question arises that its least count Tell. So there is a formula that will give you This should be remembered. What is that formula? Son, he is of the least count, do you remember that? That The formula for least count is very It is important. This happens repeatedly in schools They ask and don't even get it done in school Still let's ask. of least count The formula in its case is pitch divided by Number of divisions on circular scale. now you Brother, will you ask what is pitch? that ball We watch IPL on that pitch. that one Pitch Hey, not that pitch, wait I will tell you. Number of divisions on circular scale. These What is? That circular scale that was there How many divisions are there? So one of your There are 100 divisions inside the instrument Son Meneli. How many are there? 100 divis. So the formula will be pitch divided by 100. Ok? But brother what is the pitch? Tell me this. How will I find the pitch? if any question comes I went there. Look, a very basic bit about pitch too. There is a formula. What is? The pitch happens Distance moved by screw divided by Number of rotation. That is, when I turned So that thing keeps moving forward. So I How many times did it rotate and how much distance did it cover move it? Suppose it has moved 1 cm. And I've turned it 10 times. So what is the pitch Have you arrived? Your pitch is 0.1 cm son. Correct Is? The pitch came to 0.1 cm. and the formula What is least count? of least count The formula is pitch by number of turns which is There are 100. Ok? so in this way Questions come up sometimes. questions come like this Are. Look at the pitch given in the question It must be that the pitch is like this, right? and circular There are 100 divisions within the scale. so tell What is least count? So what will you do? Some? Not there. You will divide the pitch. Yes. pitch You will divide it. Number Off is it okay? So what will happen? 1mm / 100 How much will that be? 0.01 mm. Thus From this we find the least count. Now another one The thing is Vernier caliper. He is so detailed You don't need to understand. butt yes Vernier caliper is also an instrument by which we can measure the distance of something etc. Let's take it out. Now use vernier caliper also There is a least count. look at least count The formula will remain the same, son. Minimum What is distance? Now I'll give you a I will tell you the formula. a little bit a little bit This is a weird formula. I will remember that I will say There is no need to do it. if you don't remember If you can. Isn't it? There is no need. I will show you its diagram. look into this There are two scales. There are two scales. One This is your main scale which you can see above You are getting it. and this is your bottom one Vernier scale. This is the vernier scale. This is an important scale of vernier carper Is. Isn't it? This is its scale. So if you need anything I have to find out the length. Isn't it? So one of this There is a formula. that little extra I have knowledge. Don't remember. what is that? Main scale reading which is the reading of your main scale The reading comes. plus what your vernal CalPERS reading comes in. multiply by Least count. Ok? But there is no use of it Not there. If this topic is taught in your school It is not being taught. 80% inside school If you are not taught then don't remember it. Forget. Ok? But there is a formula here which That's what I wanted to tell you. Ok? Now What is least count? what is least count Is? What is the minimum amount one can withdraw? So Least count of usually vernier caliper What happens? Least Vernier Calpier The count is 0.1 mm. Vernier upto 0.1mm CalPERS can extract your data in a better way Can. Ok? clear? Tell me quickly. Done Is. It is done. And for NCERT you can read NCERT If you take out the book, there will be questions in it is also there. You should read this question. Look at this What is given in the question? If you this If you look at the question carefully, what is it? A screw gauge of pitch. Look give us the pitch and give us the number of divisions Are. And he is asking for least count. How Will you take it out? Pitch Divide by Division. so such Questions also come up. Such questions also come up. Ok? Now before moving on to the next topic I want to tell you something very important Am. Look, whenever we calculate the readings Do you experiment with anything? If you do it, then the number of us The readings will be calculated based on the number of off The more accurate you will experiment The answer will come i.e. the number of readings the more errors there are the fewer errors there will be There must be errors, you understand mistakes, mistakes I have made a lot of mistakes too, right? That is, the more readings you take, the more the error Brother, you understand that the number will keep decreasing the more you understand the more The smaller the reading the less error. it is an obvious thing The more calculations you do, the lesser the error Will be. So there is one like this in NCERT too Was the question asked whether we need any Diameter etc. has to be measured. so in that What is? why why is a set of 100 measurement of a diameter expected to Yield More Reliable solution. That is, when we have more Let's experiment, we have done it 100 times Calculate the diameter and then be accurate Why did the diameter come into play? because when we are more increase the number of experiments, The chances of errors are reduced. is this Is everything clear? It is done. now bhaiya what is the error It happens? Errors are mistakes. So come on brother Along with this, this big disease called error is cured. Let's start it. I know kids is scared of it. But why are you afraid When Prashant Bhaiya is here. Isn't it? Is No? So I'll take a look, friend. You chill. you I felt cold. If you don't want to work so hard. what happens when you come to this class Newly. I know somewhere a little You get very demotivated. sometimes things It begins to seem difficult. But what I give you I have always spoken with tenses and even today That is what I am saying. Always hide your smile Gum. Time will tell those people who we are And our time has come. Isn't it? These It's your time to prove it to them Of. When the result comes son and if if your result is good then Relatives and that is where victory lies. Isn't it? Parents feel proud. that moment yes friend. Work hard for that moment. Come on come. Let's see the error. don't give up Have to do it. We will fight together. what would be the error Is? It is a very simple formula. of error The formula is true value minus measured Value. assume something is correct The answer is 100. and when I calculated it He came 102. So what should I say? error How much is it? How much is the error? True Value Joe that was 100 minus the measured value which was 102. That means error occurred -2. you will say this But this answer is wrong. remember never be in error We also do not see plus or minus. then forget it You have to write two, right? 2 for plus or two for minus we don't see any error in it we don't have plus or minus Let's see, there will be a mistake, whether it is ahead or behind It makes a difference if a mistake is a mistake then it is a plus Minus two doesn't mean anything, what is the error is your true value minus your This is the measured value. Okay, this is your error. It is very basic now some full errors These happen, I don't want to go into so much detail I look so dangerous to you Let me just tell you about the flowers one by one Understand that this is the first formula, don't go for it Don't go into too much detail, just understand this This is an absolute error. What is absolute error Is? What formula did I tell you? error now What is the formula for extraction? that is it Absolute error. Real value minus joe We have taken it out. Isn't it? like it doesn't Question Suppose Absolute Error Me Have to take it out. Your real value was 12.5 and The one you took out came out to be 12.3 so it is absolute How much will the error be? 0.2 plus or minus Forget plus or minus. Ok? 0.2 what is this Have yours arrived? Absolute error. very simple Is. Anyone can point out the absolute error. The next term is relative error. These It is important. The relative error of a There is a formula. What? Absolute Error Divide By True Value. Isn't it? This mean value what happens? I will tell you this. Absolute Error divided by true value. for example Let us look at a question in which see your value inside whomever you want It was 100 and your answer was 102. First this Tell me what is the absolute error? How much Will he come? 2 -2 Don't write anything. I will beat you a lot. What will be the relative error? Absolute Error Divide by True Value. How much is this? These have you come son? your relative has come Error. Ok? Now another thing happens. Percentage error. Percentage error is none Would. What do we do with relative error? Are? Let's multiply it by 100. Is No? So that percentage error occurs. As That 2 / 100 * 100, this is your 2%. so this Here is your percentage error. ok sir. Very It was simple. The relative error is understood. Absolute error divided by the true value which What was the actual value and what was the absolute error? Isn't it? You understood this. Percentage error also I have told you. what is percentage error It happens? What is the formula for percentage error Is? The relative error is multiplied by 100 No? Relative error multiplied by 100. So Remember percentage error is also a very simple thing Is. Is anything clear? Tell me quickly. Tell me quickly. very nice. Relative Error * 100 If you remember these three flowers You can ask any question in the world. Like I showed you, the questions are so simple. Do not come. How do the questions come? Now he I will show you. Now the fun will begin. now start the game will be. Look, we can't waste much time I will do it. We will start quickly. Questions come at this level. i.e True values ​​are not given to you. If Suppose the true value is given and you know Have you found this value in your experiment? If you solve it then anyone can solve it. It will find the absolute error as well as the relative one He will take it out. but what is given in the question will be? look at the question it will happen that when We found the time period of a pendulum There were some five different types of time periods. One came 2.63 One came 2.56 One came 2.42 One This came and another one came. Now tell me calculate this The absolute error, relative error and Percentage error. How will you get it out? do you know what do it have to be done here? of NCERT The question is not important. When you find the truth If value is not given then you have to find out the mean He has to accept that it is the true value. what did you say? When true value is not given Find its meaning and accept that this is true There is value. How did you find the fish? Add everyone used to do and the number of quantities are We would have divided it. like how much Were there quantities, son? 2.63, 2.56, 2.42 these Add all these and divide by five. I will not do this calculation now. bad timing will be. You try it yourself. So whatever your mean The value will come, it will come. How much will it cost? These will come. Now this is your mean value, right? what will it be? This will be the true value. Got it? Now I have to remove the absolute error. How Will I take it out? Not an Absolute Error It will come out because look the quantity is five. So what should I do? this from this I will subtract. I will do it from here. I will do it from here. This one from this. So What should I do now? subtracts everybody I will go as it is. do this, do this, do this Get it done, get it done, get it done. and i have Five different absolute errors occurred. But There must be only one absolute error. then i what should I do? I will find the meaning of all this as well. How will I find out the mean? I will unite everyone, divide everyone I will make it five. That is, add all divide by Five. The total values ​​are five. So now Here comes my final absolute error. Final If I remove the absolute error then it will come will go to my It's 0.1062, right? is coming up. We do the calculation so I will not do it. Time is short so I am already I have brought it after doing it. You should try it. Now Absolute error occurred. How to find relative error Did you use to take it out? absolute error which is this Divide by Divide by Say True Value. What is the true value in this case? Tell. Tell me the true value is the mean value. What is the mean value? 2.624 Has this arrived for you? Relative error. If it says there is a percentage error then nothing to do. Multiply this by 100. Brother There is so much calculation in these questions. Yes. But such questions are asked very rarely. are asked. But a very good number are asked. then you should go to school You will get good marks. Then such questions Will come. Otherwise, there are questions with so many calculations. Son is not coming. You don't need to take that much load. Ok? So if you solve this then finally What will be the percentage error? This is a relative error Was. Multiplied it by 100. I have arrived 4.09% Try and solve this. What Did you get my flow? what am i telling Am? Whenever you are given different readings and the true value is not given then first of all We will find the true value. How? Pisces Will take it out. what will you do son? Pisces. True The value has arrived. What should I do now? to everyone I will subtract. Absolute Error I will take it out. There were five absolute errors. Now these I will find the mean of all five. so he came my main error. Main absolute error. Now How do I find the relative error? Absolute error divided by say true value which is It was Pisces. Just simple. Now this is a question I I am giving it to you to do. Isn't it? Its What's inside? Three measurements have come Our length is 1 2 3, right? and we here But true value is son given. Look at this True value is given in the question. So now Now you need to find the meaning here. there is no need because the true value It is given. then you can directly make absolute error You can take it out. How? First of all this Subtract from this. Then this Subtract from this and remember Forget negative, positive. been to hell Negative positive. Isn't it? if the answer is negative Even if it is coming, write it positively It happens. you know don't look in error and Minus this from this. ok sir? Three Absolute errors occurred. Now what will you do now? You will add all three, divide by three, If you take out the fish, then you will get a main from it Absolute error. When your main is absolute If an error comes, then you can remove the relative from it you will find it. Isn't it? then percentage from relative You will be able to take it out. solve this and me Tell me which children got this correct answer Found. Ok? This is a very lovely question. This way You can see the questions inside the paper. Let's go sir. Now let us move ahead quickly. Rules of Error Propagation. Come quickly. What are the rules? of error propagation This chapter will end in next 10 minutes It is going to happen. Understand carefully. what are the rules Is? If I need to add anything. See how I write quantities? Let me tell you this. Final How do I write quantity? Such as This was my question. This was my question. So What was your error in this? Absolute This was the error. Isn't it? what is true value Was? This was our true value. If I I know I need to write this quantity How will I write? Let's calculate 2.624 plus minus. Plus After the minus we write the absolute error Are. what do you write? Absolute Error Joe that is It's 0.1072, right? They apply plus minus. This is the way to write errors. First You have to write the true quantity. Then Plus minus your absolute error is That has to be written. Ok? Now what are we Are you going to study? Imagine this. two values and if we add or subtract them If we have to do it then how are we going to do it? their There are some rules. What is the rule? Errors will always happen B. Add. There will always be adds. How? Let me explain. Suppose one was 10 + - 0.1 was the first value. add this to us Is. 10 + - 0.2 These are two values. To them We have to add. how will you do it? to both of these You will add it and also add the errors. How much Have you arrived? here comes the. Isn't it? It's simple. The add only So, it has to be done. What will happen in subtraction? Let's see. accept it accept it subtract it Have to do it. Now tell me what will happen next? out of 10 If you subtract 10, how much will you get, son? Zero will come. But remember, no matter what the edition is, There is subtraction, errors are never subtracted are not done. Errors are always added Are. Errors always add up. So these two Will have to be added. + - 0.3 so if I What was the answer when you subtracted? so my here comes. What is it, did you understand? what's the matter Did you understand it? That is, whenever I get an error If it is there then there should be subtraction or addition. to Errors I will always add. these things I I can subtract. with an error on No teasing, brother. Come on, let's move on Are. Let's look at some questions regarding this. As that just assume like suppose they add us Do we have to do this or else we should subtract them Is. how will you do it? If you add these three then Add it and add these as well. Isn't it true? Now suppose calculate the difference between a and b means the difference of a and b Have to take it out. That means if a - b has to be done. Tell What will be the answer? Tell me what will come? Subtract. Subtract this to So this will come to 15 plus minus. remember Errors always add up. very nice. It was simple. Errors are added. There is nothing new in this It's not a thing. Come on, let us come now. Very Important Topic Multiplication and Divis. Remember one formula, son. This Phule will have to be remembered. Isn't it? This is not even there in NCERT This topic is asked in schools Is. Remember this formula brother. What is it is it bro? What is this? Whether multiplication There is division, remember this formula. Why? Why are we remembering brother? Tell. I am telling you. on me I don't trust you, my friend. see accept it Accept it. For example, first write this formula So look carefully. It is important. Value Now we have to multiply two quantities. 2 + - 0.1 * 3 + - 0.2 now multiply them How will it be done? There is a way to look normal You can multiply these two things If you give it, it will come in six but I face problem in removing the error, what is the error does it need to be multiplied or not you have to imagine, imagine when We multiplied both of these when we If you multiply these two then you get the answer z + - delta z what does this delta mean It happens error error ok this answer has come z + - Deltaz Imagine, Imagine us z So do you know what will happen Z What will happen? in Multiply both of them. So what is Z Will he come? Z is our six. that we know Is. What we don't know son is what is the error Will it happen friend? What would this error be? Now one of its There is a formula. What is the formula? Delta Z / Z = Delta A / A Delta B / B Delta Z What is? Which we have to remove. Delta A What is? The error is in A. What is the error? In A 0.1. What is DeltaB? 0.2 Now this flower Accordingly, if we write delta z which is We have to take it out. We know the value of z How much is it? It's six, right? 3 * 2 6 z's We know the value. What is delta A? Son? Delta A is its 0.1 and 0.1 and A what is it son? A is ours. a is ours too. A What is yours? A is ours too, right? Plus See the plus: There is a plus sign here. DeltaB / B DeltaB DeltaB DeltaB No? Yes. DeltaB /B Are you okay? Your answer is here. Now from this What can you do? Take out this delta z You can. How can you get it out? hey you fools Solve it. Solve this once. How much will this cost? Solve this once. How much will it cost? 0.05 plus solve this. how much is this Will you go? 0 Tell me once quickly, friend. You are not even doing that much, my friend For me, friend. You can solve this. How much is coming? It's 0.06 right? If you add these, then it will come will go to 0. 0.11, right? there was a six here Six will work in multiplication. So What will be the value of delta z, son? 0.66 how much? 0.66 now how do I calculate the final value will I write? Tell. How to get the final value will I write? tell me how to write the final value Am? z + - delta z. so z so I knew Say 6 + - 0. Hey, what happened brother? Oho What happened? 0.66 Son. Is it shining now or not? Speak up stupid child. It came, it did not shine Ask questions and even if there is multiplication Whether it is division, this formula is yours what should be inside your mind Repeat the formula with me: deltaz/z = delta x / x + delta y / y is ok regardless Be it addition, division or multiplication If you want to remove the error in the final answer So you will have to do it with this flower only. For Example: This is the question in front of you. What Is? A student measures the length of the road edge l = 50 + - 0.5 width is given to us. total I have to tell the area. How to find total area Will I take it out? When I multiply. Now Look, what is this z for this formula? Tell me, multiply these two. 50 * How much is it? How much is 50*? 10 so z so ho Your 500 will be gone. Isn't it? what do we take out Is? We have to remove the error. What? all Things are given son. Write it yourself. Deltaz We have to take it out. The value of z I just calculated I took it out. Multiply both and get 500. What is good delta x? What is the error? Given is what is the value of 0.5x? 50 What is delta y? What is delta y? 0.2 And what is the value of y? The value of y How much is given, son? It's 10, right? That's enough. Now So I'm going to take out this delta z. And Now you can calculate delta z yourself. and finally what will you write? The answer will be z + - delta z That means your answer will come, you can see it below yes your answer should be 500 + - 15 son try it once Try it, this will be your final answer Done ji done such questions come up no matter Be it multiplication or division, this You would be getting a lot of questions of this type is it right for example for example I I will give you one question, one question I give homework for homework also I will give it to you to try as well You should try this question a little It is okay to try tough type of question Ok? You can try this on resistance You can. Let's move on. now one last The topic of this chapter is Quantity Ray To the power. That is a very nice topic to understand Is. This is a very small topic. Value Suppose I want to find out the volume. Is No? What is volume? of Volume Tell me what is the formula? of the side Cube. hey cube volume formula What happens? Side cube. Yes. Now suppose the value of the side was was 10 + - 0.1 right? so what is the volume will it be? Look, you will take this out three times. By multiplying it means the value of z so you figure out what will happen which will It will be 10 * 10 * 10 which will be 1000 Can you find delta z using these three things? Look at the multiply, the cube has come There is a formula for this, son, a formula what is the formula that if anything If I have the power to calculate delta z so if it is delta z /z = two this is the power This will come in multiplication, just power* delta a / a i.e. if I have this If we had to find out the delta z /z in the query then What is its value? 1000 has arrived. Equals Tell me what was two equals two sides? Delta what was it? 0.1 divide by 10 and what is the power Was? The power was three. That means this power from It will come in multiplication. Just now from this You can find delta z. Got it? so this There is a formula. Whenever there is power, there is power It comes into multiplication. some of it There are also some simple questions. Such as Calculate the area of ​​the square. Now give There are ways to find the area. either You can multiply them twice side* Side. Isn't it? Do it by multiplication method Take. But that will require more calculations. What is its simple method? Tell me brother. delta z /z = power to the to How much will it be? Power will be pay to here. Into delta xyx are you able to understand this question yes? Tell me quickly in chat. What is Are you able to understand the question, son? is coming The intellect is penetrating the brain Inside. Is this kind of fire coming out of your mind? oh hey you haven't become that person you used to come Pakion would form four pairs in it. Charija So you did not become one. Smoke is coming out, It is coming out of the mouth. There is nothing like that. Isn't it? things can get tough but It is interesting. Isn't it? so what to do I have? If I have to pay any value Square is given. like what is the area It happens? Square of the side. Isn't it? Side Square of. So what should I do? error To remove this two, put it here I will bring it in multiplication brother. did you come Great stuff? Come on, find the answer for this You can. It is very simple. Now I give you a I am going to conduct the final question. today's Last Question The Percentage Error in the Measurement of Mass velocity velocity of the body are 3% and 4%. That means he is saying in the mass that What is the percentage error? It is 3%. Correct Is? And the error in velocity is 4%. Now this is telling you what will be given Percentage error in calculating kinetic Energy. to extract kinetic energy What is the formula? 1/2 mv² tell me sir. What to do? What to do? What Do it? I just want to point out the error. I want to report an error. What to do? Look, whenever the error shows like this Forget about constant values. Ok? here it is mv² mv² right? Whenever two things There are multiplications, son, so what are the errors? Are they there? They add up to each other. whether Even if there is division, additions will still happen. If there is an error then Errors are bound to be added. We know the mass What is the error of this? tell me its error How much is it? Its error is given to us as 3%. We know the error in velocity is 4%. How much Is it given? 4%. now remember remember here But it is square. whenever the square comes What should I tell you? Whenever the square comes So this two comes down and This goes into multiplication. i.e The error of the square of the velocity will be It will be 4 * 2 4 * 2 so this comes to 8% okay m We know that the mass of this is 3% and that of this is 8% So overall your result is 11% error so 11% Error is your answer, please understand what you mean directly error given the directly mass of Velocity was given to us I knew the formula for kinetic energy mv² 1/2 We know the error of mv²/ m whenever two things There is multiplication, son, errors get added. Remember this, son, we are getting divided Even then errors are still getting added. then error So there are ads only. I told you error add There are. Isn't it? So what? now its error Is 3%. The error of V was 4% but squared here If it was there then how much is it? It became 8%. 11% so this Those were some great questions from you. something spectacular Question. I hope you find this here It would have been fun to finish the chapter. Me I know the topic of error is a bit tough. But Do you know what it is, son? This is enough for you. There was no error in whatever I did. Will be asked. I gave you a little high level I have just read it. I gave you a little I have taken it to the highest level To you. Isn't it? I have not given you basic I have brought you here. Why? So that you can continue your practice. That's a good thing. So what should you remember? that in life We will keep fighting and keep winning. Yours here A chapter ends. on the next chapter will keep coming too. and if you like a lecture I really liked it, I enjoyed it, I understood it, Please post a story for me on Instagram Tag and let the world know that Prashant Bhaiya has come to teach 11th and Now, they are going to set the 11th one on fire as well. Is No? Will remember. Ok? your time has come Is. We will give our best and we will win too. On this note. Thank you everyone. my name is Pacific. see you in the next lecture Inside. Bye-B.