Lecture Notes on JEE 2025 January Attempt Preparation

Introduction and Motivation

• Greetings and festive wishes for Pongal, Makar Sankranti, and Lori.
• Encouragement for students preparing for JEE 2025.
• Importance of utilizing holidays for focused study.
• Visualizing success in future celebrations at prestigious institutes (IIT, NIT, BITS).

Lecture Agenda

• Focus on high-weightage physics concepts and questions.
• Coverage of important models and concepts from 11th and 12th-grade syllabi.
• Expectation to cover around 100 key concepts.
• Marathon session with breaks included.

Instructor Introduction

• Instructor Captain Stas with over 13 years of teaching experience.
• Mentored students who are now in IITs, NITs, BITS.
• Commitment to students cracking the JEE examination.

Topics Covered

Dimensions and Units

• Difference between units and dimensions.
• Homogeneity principle: dimensions on both sides of an equation must be equal.
• Application of dimensions for checking correctness of equations.
• Deriving formulas using dimensional analysis.

Screw Gauge

• Measurement principles of screw gauge.
• Calculating pitch and least count.
• Formula for total reading including zero error considerations.
• Examples demonstrating use and calculations.

Error Analysis

• Types of errors: absolute, relative, and percentage errors.
• Combining errors for addition, subtraction, multiplication, and division.
• Rounding off principles and significant figures.

Projectile Motion

• Key formulas for time of flight, maximum height, and range.
• Path trajectory of a projectile and related calculations.
• Impact of angle of projection on range.

River Boat Problems

• Calculation of time taken to cross a river considering current speed.
• Concepts of shortest time and shortest distance in crossing problems.

Newton's Laws and Pulley Systems

• Application of Newton’s laws to pulley systems.
• Calculation of acceleration and tension in masses connected by pulleys.
• Use of equivalent mass for rotating systems.

Friction

• Types of friction: static and kinetic.
• Coefficient of friction and angle of repose.
• Calculating frictional forces in different scenarios.

Work, Power, and Energy

• Work-energy theorem and its applications.
• Calculating work done using force-displacement graphs.
• Energy conservation in elastic and inelastic collisions.

Center of Mass

• Calculating the center of mass for different shapes and systems.
• Truncated and composite bodies.

Gravitation

• Universal law of gravitation and gravitational field concepts.
• Gravitational potential and escape velocity.

Kepler’s Laws and Satellites

• Kepler’s laws of planetary motion.
• Satellite motion, orbital velocity, and time period.

Fluid Mechanics

• Bernoulli’s equation and applications.
• Viscosity and the Stokes’ law.
• Terminal velocity and related concepts.

Thermodynamics and Kinetic Theory of Gases

• Gas laws and ideal gas equation.
• RMS speed, most probable speed, and average speed.
• Maxwell-Boltzmann distribution and degrees of freedom.

Waves and Oscillations

• Simple harmonic motion equations.
• Wave properties and interference phenomena.

Electromagnetism

• Coulomb’s law, electric field, and potential.
• Capacitance and energy stored in capacitors.

AC Circuits

• Impedance, reactance, and resonance in AC circuits.
• Power factor and its significance.

Optics

• Ray optics: mirror and lens formulas.
• Wave optics: interference and diffraction.

Modern Physics

• Photoelectric effect and Einstein’s photoelectric equation.
• De Broglie wavelength and matter waves.
• Atomic models and nuclear physics basics.

Logic Gates and Electronics

• Basic logic gates: AND, OR, NOT, NAND, NOR.
• Truth tables and Boolean algebra.

Conclusion

• Emphasis on the importance of practice and consistency.
• Encouragement to utilize mock tests and previous year questions.
• Wishing students success in their preparation and upcoming exams.