Physics for JEE Main [3 ed.] 9789353501327, 9353501326

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Physics for

JEE Main Third Edition

B. M. Sharma

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CENGAGE Australia • Brazil • India • Mexico • Singapore • United Kingdom . United States

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CENGAGE Physics for JEEMain. 3e B. M. Sharma

(0 2019,2013 Cengage Learning India Pvt. I td All RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, without the prior written permission of the publisher.

For permission to use material from this text or product, submit all requests online at www.cengage.com/permissions Further permission questions can be emailed to [email protected]

ISBN-13: 978-93-5350-132 7 ISBN-10:93-5350-132-6 Cengage Learning India Pvt. Ltd. T-303,3rd Floor DAV Complex, Plot 3 Mayur Vihar Phase 1 Delhi 110091 Cengage Learning is a leading provider of customized learning solutions with office locations around the globe, including Australia, Brazil, India, Mexico, Singapore, United Kingdom, and United States. Locate your local office at: www.cengage.com/global Cengage Learning products are represented in Canada by Nelson Education, Ltd. For product information, visit www.cengage.co.in

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Over the years, students appearing for the Joint Entrance Examination (JEE) have banked on conventional methods and shortcuts provided by books to crack the examination. However, the paper-setting patterns during the recent years have made it clear that only conventional techniques arc not enough as most of the questions are based on concepts rather than on just formulae. It is necessary for students appearing for JEE to gain a thorough knowledge and understanding of the concepts, and this book helps students in acquiring the same. This book uses a right mix of fundamental principles and concepts, illustrations which highlight the application of these concepts, and exercises for practice. It is designed to help students to get an all-round grasp of the subject so as to be able to make its useful application in all its contexts. The objective of the book is to help students develop their problem-solving skills/accuracy, the ability to reach the crux of the matter, and the speed to get answers in limited time. It is imperative to note that this book would be as profound and useful as you want it to be. Therefore, in order to get maximum benefit from this book, we recommend the following study plan for each chapter: Step 1: Step 2: Step 3: Step 4: Step 5:

Go through the entire opening discussion about the fundamentals and concepts. After learning the theory/concept, follow the illustrative examples to get an understanding of the theory/concept. Attempt in-text concept application exercises. This will ensure your understanding and implementation of concepts and formulae. Move to the section that lists solved problems. This will help better your understanding of the chapter theory. Finally, there are many exercises/problems to try your hands on. These problems warrant the recall of all the formulae and concepts involved. Archives is a collection of solved problems from previous years’ examinations, which will help students understand the trend(s) behind JEE.

The purpose of this book is to help you actually understand what you are doing, rather than blindly applying memorized techniques. It is recommended that you solve the problems given in the book by yourself, without the help of the solution at the end of the section. The idea is that if you discover something on your own, you will remember it better than if you had simply seen the a nswer. So, refer to the solution only if you fail to solve a problem after several attempts or when you have already found a solution a nd want to check your approach. Although this book h as been written on the basis of the syllabus prescribed for JEE, it will prove useful also to the student s preparing for other entrance examinations since the content of physics remains almost the same for all examinations. We hope this book helps you immensely in acquiring the kind of acumen that is vital for students appearing for JEE. Since we believe that there is always scope for improvement, any suggestions are welcome. You have taken the first step. A bright future beckons you. We wish you success in this endeavour and in life.

B.M. Shanna

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Preface

Average Velocity and Average Speed Instantaneous Velocity Average Acceleration Motion in a Straight Line One-Dimensional Motion in a Vertical Line (Motion Under Gravity) Motion Upon an Inclined Plane Relative Motion in One Dimension Graphs in Motion in One Dimension

Hi

1. Units, Dimensions and Measurement 1.1- 1.14 Physical Quantity Fundamental and Derived Quantities Fundamental and Derived Units Dimensions of a Physical Quantity Applications of Dimensional Analysis Limitations of Dimensional Analysis Significant Figures Errors of Measurement

1.1 1.1 1.1 1.2 1.2 1.4 1.4 1.5

Solved Examples Exercises Basic Concept of Units Dimensional Analysis Errors in Measurement Problems Based on Mixed Concepts Archives Answer Key 2.

Vectors Vectors and Scalars Representation of Vector Addition of Vectors Components of a Vector Unit Vectors Rectangular Components of a Vector in Three Dimensions Position Vector Displacement Vector Prod uct of Two Vectors

Solved Examples Exercises Vector Addition Resultant of Vectors Expressing Vectors in Unit Vector Notation Dot Product Cross Product Problems Based on Mixed Concepts Archives Answer Key

Solved Examples Exercises General Kinematics and Morion with Constant Acceleration Problems Based on Motion Under Gravity Relative Velocity' in One Dimension Understanding Motion Through Graphs Problems Based on Mixed Concepts Archives Answer Key

1.7 1.9 1.9 1.10 1.11 1.12 1.13 1.14 2.1-2.18

/

2.1 2.1 2.1 2.3 2.4

4.

2.4 2.5 2.6 2.7

2.11 2.13 2.13 2.14 2.15 2.15 2.16 2.16 2.17 2.18

3* Motion in One Dimension

3.1-3.24

Displacement and Distance

3.1

5.

Motion in Two Dimensions

3.1 3.2 3.2 3.3 3.4 3.5 3.6 3.9

3.13 3.17 3.17 3.18 3.19 3.20 3.21 3.22 3.24 4.1-4.28

Projectile Motion Horizontal Projectile Relative Motion Kinematics of Circular Motion

4.1 4.3 4.7 4.11

Solved Examples Exercises Problems Based on Basic Concept of Projectile Motion Projectile from Moving Frame and from Inclined Plane Relative Velocity in Two Dimensions Kinematics of Circular Motion Problems Based on Mixed Concepts Archives Answer Key

4.14 4.19

Newton's Laws of Motion (Without Friction) Newton’s Laws of Motion Impulse Equilibrium of a Particle

4.19 4.21 4.22 4.23 4.24 4.26 4.28

5.1-5.26 5.1 5.2 53

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vi

Contnnr',

Applications of Newton's 1 .aws of Motion in Different Situations Non-lnertinl Frame of Reference and Pseudo (Fictitious) Force Constraint Relations Spring Force and Combinations of Springs

5.7 5.9 5.11 5.13 5. / 7

Solved Examples Exercises Emblems Bused on Basic Concept of Projectile Motion Application of Newton's Laws of Motion in Base Situations Problems Based on Constraint Relation Kinematics of Circular Motion Problems Based on Mixed Concepts Archives Answer Key 6.

8.

5.18 5.20 5.22 5.22 5.24 5.26

6.5 6.7 6.8 6.9 6.10

Solved Examples 6.11 Exercises 6.15 Basic Concept of Static and Kinetic Friction 6.15 Application of Newton 's Laws of Motion with Friction 6.16 Dynamics of Circular Motion 6.18 Problems Based on Mixed Concepts 6.20 Archives 6.21 Answer Key 6.22 Work, Energy and Power Work Done by a Force Work-Energy Theorem Conservative and Non-Conservative Forces Potential Energy Mechanical Energy and Its Conservation Motion in a Vertical Circle Condition for Oscillation or Leaving the Circle Mechanical Power

7.1-7.27 7.1 7.5 7.6 7.7 7.10 7.12 7.12 7.14

Sol ved Examples 7.15 Exercises 7.18 Conc ept of Work and Work Energy Theorem 7.18 Concept of Potential Energy and Concept of Conservation of Mechanical Energy 7.20

8.1-8.22

Solved Examples Exercises Centre of Mass and Its Motion Conservation of Linear Momentum Problems Based on Collision Problems Based on Mixed Concepts Archives Answer Key

Newton’s Laws of Motion (With Friction) and Dynamics of Circular Motion 6.1-6.22 6.1 6.2 6.3 6.4

Centre of Mass. Conservation of Linear Momentum and Collision

7.2! 7.22 7 23 7.24 7.27

Centre of Mass of a System of N Discrete Particles Centre of Mass of a Continuous Mass Distribution Motion of the Centre of Mass Conservation of Linear Momentum Collision or Impact

5.17

Static Friction and Kinetic Friction Laws of Limiting Friction Angle of Friction Angle of Repose or Angle of Sliding Analysis of Friction Force Between Two Objects in Contact. Condition of Existence of Static Friction Dynamics of Circular Motion Conical Pendulum Turning of a Vehicle on Horizontal Circular Road Other Applications of Newton’s Laws of Motion in Circular Motion

7.

Mechanical Power Ciivular Motion in Vertical Plane Problems Based on Mixed Concepts Archives Answer Key

5.4

9.

Rotational Dynamics Rigid Body Moment of Inertia Radius of Gyration Torque Couple Equilibrium of Rigid Bodies Analogue of Newton's Second Law of Motion for Pure Rotation Application of Torque Equation and Equation of Motion Combined Kinetic Energy of a Body in Combined Rotation and Translation Rotational Work and Power Conservation of Mechanical Energy Work-Energy Theorem Angular Momentum: Rotational Analogue of Momentum Angular Momentum of a Rigid Body Due to Translation and Rotation Both Law of Conservation of Angular Momentum Angular Impulse Combination of Translation and Rotation Acceleration of Different Points Rolling

8.1 8.1 8.3 8.5 8.6

8.9 8.14 8.14 8.15 8.17 8.18 8.20 8.22 9.1 -9.38 9.1 9.1 9.3 9.5 9.6 9.6 9.7 9.8 9.10 9.11 9.11 9.12 9.13 9.14 9.15 9.15 9.16 9.17 9.17

9.22 Solved Examples • 9.26 Exercises 9.26 Moment of Inertia 9.28 Torque and Torque Equation 9.29 Angular Momentum and Energy of Rigid Body 9.31 Problems Based on Rolling 9.33 Problems Based on Mixed Concepts 9.34 Archives 9.38 Answer Key

□

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vii

Contents___________________________________ ________ ______

10.

Gravitation

10.1-10.24

Kepler’s Laws 10.1 Newton's Law of Gravitation 10.1 Inertial and Gravitational Masses 10.2 Intensity of Gravitational Field 10.3 Gravitational Potential 10.6 Gravitational Potential Energy 10.7 Orbital Speed. Time Period and Height of Satellite 10.9 Geostationary or Geosynchronous Satellites 10.11

Solved Examples Exercises Kepler's Laws of Planetary Motion and Newton's Law of Gravitation Gravitational Field and Acceleration Due to Gravity Gravitational Potential, Energy and Escape Velocity Motion of Satellite Problems Based on Mixed Concepts Archives Answer Key 11. Elasticity Introduction Some Definitions Cause of Elasticity Stress Strain Elastic Limit Hooke’s Law and Elastic Moduli Analogy of Rod as a Spring Stress-Strain Diagram Elasticity and Plasticity Energy Stored in a Deformed Body Interatomic Force Constant

Solved Examples Exercises Stress, Strain and Elasticity Energy Stored in a Deformed Body Problems Based on Mixed Concepts Archives Answer Key 12. Fluid Mechanics, Surface Tension and Viscosity Pressure Pascal’s Law Fluid in Uniformly Accelerating Motion Comparison of an Accelerated Fluid with an Accelerated Pendulum Archimedes’Principle Floating Body Centre of Buoyancy Hydrodynamics

10.12 10.15 10.15 10.17 10.18 10.19 10.20 10.22 10.24 11.1-11.19 11.1 11.1 11.1 11.1 11.3 11.4 11.4 11:7 11.7 11.8 11.8 11.9

11.10 11.14 11.14 11.16 11.17 11.18 11.19

12.1-12.35 12.1 12.2 12.5 12.5 12.6 12.7 12.7 12.9

Principle of Continuity: The Continuity Equation 12.9 Bernoulli’s Equation 12 10 Venturi Meter 12.11 Static Pressure and Dynamic Pressure 12 II Pitot Tube 12.11 Velocity of Efflux: Torricelli’s Theorem 12.11 Horizontal Range of the Escaping Liquid 12.12 Force of Reaction Due to Ejection of Liquid 12.12 Viscosity 12.13 Stokes’Law 12.14 Terminal Velocity 12.15 Surface Tension 12.16 Excess Pressure Inside a Liquid Drop and a Bubble 12.17 Capillarity 12.18

Solved Examples Exercises Fluid Statics, Buoyancy and Floatation Fluid Dynamics Surface Tension and Viscosity Problems Based on Mixed Concepts Archives Answer Key 13. Thermal Expansion, Calorimetry and Transmission of Heat

12.21 12.26 12.26 12.28 12.29 12.31 12.33 12.35

13.1-1330 13.1 13.2 13.6 13.10 13.13 13.14 13.14 13.15 13.15 13.16

Temperature Calorimetry Thermal Expansion Transmission of Heat Growth of Ice on Lake Radiation Prevost’s Theory of Heat Exchange Kirchhoff’s Law Stefan’s Law Newton’s Law of Cooling Distribution of Energy in the Spectrum of Black Body Wien’s Displacement Law Temperature of the Sun and Solar Constant

13.17

Solved Examples Exercises Thermal Expansion Calorimetry Transmission of Heat Problems Based on Mixed Concepts Archives Answer Key1

13.19 13.23 13.23 13.24 13.25 13.27 13.28 13.30

14. Kinetic Theory of Gases and Thermodynamics Kinetic Theory of Gases Degree of Freedom Law of Equipartition of Energy

13.17 13.17

14.1-1433 14.1 14.4 14.5

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Contents

Specific Heat or Specific Heat Capacity Gaseous Mixture Thermodynamics Zeroth Law of Thermodynamics First Law of Thermodynamics Second Law of Thermodynamics Carnot Engine Entropy Heal Engine

14.5 14.7 14.8 14.8 14.9 14.17 14.17 14.18 14.19

Solved Examples Exercises Kinetic Theory of Gases Ideal Gas Equation and Specific Heat Capacity of Gases First Law of Thermodynamics, Internal Energy and Work Done Second Law of Thermodynamics Problems Based on Mixed Concepts Archives Answer Key 15. Oscillation and Simple Harmonic Motion Periodic Motion Simple Harmonic Motion Spring-Mass System Oscillation of a Two-Particle System Two-Body Problem Analysis of Angular SHM Oscillation of Simple Pendulum Physical Pendulum (Compound Pendulum) Torsional Pendulum Motion of a Ball in a Tunnel

Through the Earth Oscillation of a Floating Body in a Liquid Oscillation of a Liquid Column in U-Tube Free. Forced and Resonant Vibrations

Theory' of Forced Oscillations Damped Oscillations Solved Examples Exercises Problems Based on Basic Theory Velocity, Acceleration and Energy of SHM Spring Particle System and Simple Pendulum Compound Pendulum and Superposition of SHM Problems Based on Mixed Concepts Archives Answer Key 16. Wave and Acoustics Progressive Waves

14.20 14.24 14.24 14.25 14.26 14.28 14.28 14.30 14.33

15.1-15.31 15.1 15.1 15.9 15.10 15.11 15.11 15.13 15.14 15.14 15.15 15.15 15.16 15.17 15.17

15.18 15.22 15.22 15.23 15.25 15.26 15.27 15.28 15.31 16.1-16.33 16.1

Mechanical Waves Type of Waves Wave Parameters Wave Function Sinusoidal Waves on Strings Speed of Waves on String Interpretation of dy/dx in Longitudinal Waves and Transverse Waves SoundWaves Doppler Effect Superposition and Interference Reflection of Waves at Fixed and Free Ends Stationary Waves Beats: Interference in Time

16.5 16.6 16.8 16.10 16.13 16.14 16.18

Solved Examples Exercises Progressive Waves and Sound Waves Doppler Effect Superposition of Waves Vibration of String and Organ Pipes Problems Based on Mixed Concepts Archives Answer Key

16.19 16.24 16.24 16.25 16.27 16.28 16.29 16.31 16.33

17. Electric Charge and Field Electric Charge Charging of a Body Coulomb’s Law Coulomb’s Law in Vector Form Electric Field Electric Field Due to an Isolated Point Charge Electric Field Due to a Point Charge in Vector Notation Electric Field Due to Continuous Distribution of Charge Field of Ring Charge Lines of Force Electrostatic Shielding (or Screening) Motion of Charged Particle in Uniform Electric Field Electric Dipole Electric Field Due to a Dipole Electric Field Intensity Due to a Short Dipole at Some General Point Dipole in a Uniform Electric Field Electric Dipole in a Nonuniform Electric Field Electric Flux Gauss’s Law Field of a Charged Conducting Sphere Field of a Line Charge Field of an Infinite Plane Sheet of Charge Field of a Uniformly Charged Sphere

16.1 16.1 16 1 16.2 16.4 J 6.5

17.1-17.37 17.1 17.1 17.2 17.3 17.5 17.6 17.6 17.7 17.7 17.9 17.10 17.11 17.12 17.12 17.13 17.13 17.14 17.14 17.17 17.18 17.19 17.20 17.21

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ix

Contents

Solved Examples Exercises Electric Charge and Coulomb 's Law Electric Field Electric Flux and Gauss Law Problems Based on Mixed Concepts Archives Answer Key' Electric Potential and Capacitance Work Done to Move a Charge in an Electrostatic Field Potential and Potential Difference Potential Energy of Charges in an External Electric Field Equipotential Surface Finding Electric Field from Electric Potential Electric Potential of Some Continuous Charge Distributions Non-Conducting Solid Sphere A Ring of Charge Earthing of a Conductor Potential Due to an Electric Dipole Work Done in Rotating an Electric Dipole in a Uniform Electric Field Potential Energy of an Electric Dipole in a Uniform Electric Field Capacitance Parallel Plate Capacitor Force Between the Plates of a Parallel Plate Capacitor Spherical Capacitor Energy Stored in a Charged Conductor or Capacitor Dielectric Induced Charge on the Surface of Dielectric Capacity of Parallel Plate Capacitor with Dielectric Effect of Dielectric on Different Parameters Capacitors Connected in Series Capacitors Connected in Parallel Kirchhoff’s Rules for Capacitors

Solved Examples Exercises Electric Potential and Potential Energy Relation Between Electric Field and Potential Capacitance and Combination of Capacitors Problems Based on Mixed Concepts Archives Answer Key

17.22 17.26 17.26 17.27 17.30 17.32 17.34 17.37 18.1-18.38 18.1 18.1 18.4 18.5 18.5 18.7 18.8 18.8 18.9 18.10

19. Electric Resistance and Simple Circuits

19.1-19.29

Electric Current Current Density Drift Velocity Temperature Coefficient of Resistivity Electromotive Force and Potential Difference Internal Resistance of a Cell Combination of Resistances Equipotential Points Kirchhoff's Law for Electrical Networks Balanced Wheatstone Bridge Combination of Cells Charging and Discharging of a Capacitor Through a Resistance

Solved Examples Exercises Resistivity and Drift Velocity' Combination of Resistance and Cells Kirchhoff's Law and Simple Circuits Resistance Capacitor Circuits Problems Based on Mixed Concepts Archives Answer Key'

19.1 19.2 19.3 19.4 19.5 19.5 19.6 19.7 19.9 19.11 19.11 19.15

19.16 19.19 19.19 19.20 19.22 19.24 19.25 19.27 19.29

18.11 18.11 18.12 18.13 18.13 18.13 18.14 18.15 18.15 18.16 18.16 18.17 18.18 18.20

18.23 18.26 18.26 18.28 18.30 18.32 18.34 18.38

20. Heating Effect of Current and Electrical Measuring Instruments 20.1-20.20 Galvanometer Ammeter Voltmeter potentiometer Meter Bridge or Slide Wire Bridge Heating Effects of Current Some Applications

Solved Examples Exercises Heating Effect of Current Ammeter and Voltmeter Meter Bridge and Potentiometer Problems Based on Mixed Concepts Archives Answer Key

20.1 20.1 20.2 20.3 20.4 20.5 20.8

20.9 20.12 20.12 20.14 20.15 20.16 20.18 20.20

21. Source and Effects of Magnetic Field 21.1-21.37 Force on a Moving Charge in Magnetic Field Lorentz Force Motion of a Charged Particle in a Magnetic Field Force on a Current-Carrying Wire Magnetic Dipole and Dipole Moment Torque on a Current-Carrying Planar Loop in a Uniform Magnetic Field Moving Coil Galvanometer

21.1 21.2 21.2 21.5 21.8 21.9 21.10

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Content

Magnetic Field of a Current Element Magnetic Field Due to Current in a Straight Wire Magnetic Field at the Center of a Current-Carrying Circular Arc Magnetic Field of a Circular Current Loop Force Between T\vo Infinite Parallel Current-Carry ing Wires Ampere's Law

Solved Examples Exercises Motion of Charged Particles in Magnetic Field Force on a Conductor and Torque on a Current Carrying Loop in Magnetic Field Magnetic Field Due to Current Carrying Wire and Wire Loop Problems Based on Mixed Concepts Archives Answer Key 22. Magnetism and Matter Magnetism Bar Magnet Magnetic Field Earth’s Magnetic Field (Terrestrial Magnetism) Magnetic Maps and Neutral Points Tangent Law and Its Application Magnetic Instruments Magnetic Materials

Solved Examples Exercises Magnetic Dipole, Magnet and Its Properties Earth Magnetism Magnetic Materials Problems Based on Mixed Concepts Archives Answer Key 23. Electromagnetic Induction Magnetic Flux Faraday’s Law of Electromagnetic Induction Lenz’s Law Motional Electromotive Force Mutual Inductance Self-Inductance Application of Kirchhoff's Law Series and Parallel Combination of Inductors Combination of Inductors with Resistors Energy Stored in the Magnetic Field of an Inductor LC Oscillations

Solved Examples

Exercises Faraday and Lenz 's law Motional EMF Induced Electric Field, Self and Mutual Inductance L. R and L. C Circuits Problems Based on Mixed Concepts Archives Answer Key

21.12 21.13 21.15 21.16 21.17 21.18

21.21 21.25

24. Alternating Current Introduction Phasor Diagrams Mean or Average Value of Current Ac Circuits Power in Series LCR Circuits Resonance in Series LCR Circuit Transformers Skin Effect

21.25

21.27 21.29 21.31 21.33 21.37

Solved Examples Exercises Properties of Alternating Current Different A-C Circuits Power in A-C Circuits Problems Based on Mixed Concepts Archives Answer Key

22.1-22.20 22.1 22.1 22.2 22.3 22.4 22.5 22.5 22.8

22.11 22.14 22.14 22.15 22.16 22.17 22.19 22.20 23.1-23.30 23.1 23.1 23.2 23.4 23.8 23.8 23.9 23.9 23.10 23.11 23.12

23.14

25.

Electromagnetic Waves

23.19 23.19 23.2! 23.23 23.24 23.26 23.28 23.30 24.1-24.19 24.1 24.1 24.1 24.3 24.6 24.7 24.8 24.9

24.10 24.12 24.12 24.14 24.15 24.16 24.18 24.19 25.1-25.10

Introduction Maxwell’s Displacement Current Maxwell Equations Electromagnetic Wave Spectrum Energy Density and Intensity Intensity Momentum Atmosphere Properties of Electromagnetic Waves

25.1 25.1 25.2 25.3 25.3 25.3 25.3 25.3 25.4

Solved Examples Exercises Problems Based on Basic Theory Maxwell Equations and Properties of Electromagnetic Waves Problems Based on Mixed Concepts Archives Answer Key

25.5 25.7 25.7

26. Geometrical Optics Reflection of Light Laws of Reflection Reflection From a Curved Surface Sign Convention: Cartesian Convention Position, Size and Nature of Image Formed by Spherical Mirrors Relation Between Object and Image Velocity

25.7 25.8 25.9 25.10 26.1-26.45

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xi

Contents 26.9

Refraction of Light Critical Angle and Total Internal Reflection Apparent Shift of an Object Due to Refraction Refraction Through a Parallel Slab Slab and Mirror Combined Prism Thin Prisms Dispersion of Light Refraction at Spherical Surfaces Thin Lens Power of a Lens Lens Displacement Method Combination of Lenses and Mirrors Optical Instruments

26.1 1 26.12 26.13 26.14 26.17 26.18 26.18 26.20 26.22 26.24 26.25 26.28 26.29

Solved Examples Exercises Reflection through Plain and Spherical Mirror Refraction of Light at Plane and Curved Surface Convex and Concave Lenses and Prism Optical Instruments Problems Based on Mixed Concepts Archives Answer Key 27. Wave Optics

26.31 26.35 26.35 26.37 26.38 26.40 26.41 26.42 26.45 27.1-27.25

Huygens’ Wave Theory Wave fronts Conditions of Interference Coherent Sources Interference Thin-Film Interference Young’s Double-Slit Experiment Lloyd's Mirror Experiment Diffraction Polarisation of Light

27.1 27.1 27.1 27.2 27.2 27.3 27.4 27.9 27.10 27.12

Solved Examples Exercises Huygens *s Wave Principle and Interference of Light Young’s Double Slit Experiment Diffraction and Polarization Problems Based on Mixed Concepts Archives Answer Key

27.13 27.17 27.17 27.18 27.20 27.21 27.23 27.25

28. Dual Nature of Radiation and Matter 28.1-28.20 Quantum Theory of Light Intensity of Light Due to a Light Source Radiation Pressure/Force Matter Waves (De Broglie Waves) Photoelectric Effect

28.1 28.1 28.3 28.4 28.6

Solved Examples

28.9

Exercises Photon Momentum and Energy, De-Broglie Hypothesis Photoelectric Effect Problems Based on Mixed Concepts 4 rt hives Answer Key

29. Atomic Structure Bohr Model of Hydrogen Atom Energy of Electron in w,h Orbit Frequency of Emitted Radiation Hydrogen-Like Atoms Ionization Energy (IE) and Ionization Potential (IP) Excitation Energy and Excitation Potential Atomic Excitation Limitations of Bohr’s Atomic Model Wavelength of Photon Emitted in De-Excitation X-Rays X-Ray Spectra and Origin of X-Rays Moseley's Law

Solved Examples Exercises Bohr's Hydrogen Atom Model Hydrogen Like Atom and Atomic Spectrum X-rays Problems Based on Mixed Concepts Archives Answer Key 30. Nuclear Physics

28.12 28.12 28. / 3 28.15 28.17 28.20

29.1-29.20 29.1 29.2 29.3 29.3 29.4 29.4 29.4 29.5 29.5 29.7 29.8 29.10

29.10 29.13 29.13 29.14 29.16 29.16 29.18 29.20 30.1-3024

Nuclear Structure Atomic Mass Number Some Definitions Size of Nuclei Nuclear Binding Energy Mass-Energy Equivalence Binding Energy Per Nucleon Q Values Nuclear Stability Radioactivity Nuclear Fission Nuclear Fusion

30.1 30.1 30.1 30.2 30.2 30.3 30.4 30.5 30.5 30.6 30.11 30.12

Solved Examples Exercises Nuclear Reaction, Mass Energy and Binding Energy Radioactivity Nuclear Fission, Fusion and Nuclear Energy

30.14 30.17 30.17 30.18 30.19

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Contents

Problems Based on Mixed Concepts Archives Answer Key'

SO. 20 30.22 30.24

Hints and Solutions 1. Units. Dimensions and Measurement 2. Vectors

31. Electronic Devices

31.1-31.24

Energy Bands Forbidden Energy Gap (AEG) Types of Solids Semiconductors TYpes of Semiconductors Transistor Digital Electronics Boolean Algebra Logic Gates and Truth Table Combination of Logic Gates

31.1 31.1 31.1 31.2 31.2 31.6 31.9 31.9 31.9 31.10

Solved Examples Exercises Semiconductors and Diodes Junction Transistor Digital Electronics Problems Based on Mixed Concepts Archives Answer Key

31.13 31.16 31.16 31.18 31.19 31.21 31.22 31.24

32. Communication Systems Introduction Basic Communication System Types of Communication System Analog and Digital Signals Modulation Demodulation Data Transmission and Retrieval

Solved Examples Exercises Archives Answer Key

33. Experimental Skills Experiment 1 Experiment 2 Experiment 3 Experiment 4 Experiment 5 Experiment 6 Experiment 7

Solved Examp lei Exercises Archives Answer Key

32.1-32.11 32.1 32.1 32.1 32.1 32.2 32.5 32.5

32.7 32.9 32.11 32.11

33.1-33.17 33.1 33.3 33.5 33.6 33.7 33.8 33.8

33.9 33.11 33.16 33.17

S.I-S.324 S.l-S.fi S.7-S 12

3. Motion in One Dimension

S.I3-S.22

4. Motion in Two Dimensions

S.23-S.34

5. Newton’s Laws of Motion (Without Friction)

S.35-S.47

6. Newton's Laws of Motion (With Friction) and Dynamics of Circular Motion

S.48-S.58

7. Work. Energy and Power

S.59-S.71

8. Centre of Mass. Conservation of Linear Momentum and Collision

S.72-S.84

9. Rotational Dynamics

S.85-S.100

10. Gravitation

S.101-S.110

11. Elasticity

S.l 11-S.l 16

12. Fluid Mechanics, Surface Tension and Viscosity

S.l 17-S.128

13. Thermal Expansion. Calorimetry and Transmission of Heat

S.129-S.139

14. Kinetic Theory of Gases and Thermodynamics

S.140-S.150

15. Oscillation and Simple Harmonic Motion

S.151-S.163

16. Wave and Acoustics

S.164-S175

17. Electric Charge and Field

S.176-S.190

18. Electric Potential and Capacitance

S.191-S.203

19. Electric Resistance and Simple Circuits

S.204-S.214

20. Heating Effect of Current and Electrical Measuring Instruments

S.215-S.222

21. Source and Effects of Magnetic Field

S.223-S.234

22. Magnetism and Matter

S.235-S.240

23. Electromagnetic Induction

S.241-S.251

24. Alternating Current

S.252-S.257

25. Electromagnetic Waves

S.258-S.260

26. Geometrical Optics

S.261-S.277

27. Wave Optics

S.278-S.287

28. Dual Nature of Radiation and Matter

S.288-S.296

29. Atomic Structure

S.297-S.305

30. Nuclear Physics

S.306-S.314

31. Electronic Devices

S.315-S.320

32. Communication Systems

S.321-S.322

33. Experimental Skills

S.323-S.324

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