CONTENTS

Preface —Pgs. iii

Joint Admission Test for M Sc (Jam) —Pgs. v

MODULE I

1. Mathematical Methods —Pgs. 3

1.1 Introduction —Pgs. 3

1.2 Elementary Algebra —Pgs. 3

1.3 Elementary Trigonometry —Pgs. 4

1.4 Basic Coordinate Geometry —Pgs. 6

1.5 Differentiation —Pgs. 10

1.6 Integral of A Function —Pgs. 13

1.7 Rolle’s and Lagrange’s Theorems —Pgs. 17

1.8 Algebraic and Transcendental Equation —Pgs. 18

1.9 Approximation of Functions by Series —Pgs. 21

1.10 Green’s Theorem —Pgs. 21

1.11 Stoker’s Theorem —Pgs. 22

1.12 The Divergence Theorem —Pgs. 22

1.13 Differential equation, its Degree and Order —Pgs. 22

1.14 Determinant —Pgs. 24

1.15 Algebra of Complex Numbers —Pgs. 28

1.16 Mean Value Theorem —Pgs. 29

1.17 Vectors Algebra —Pgs. 36

1.18 Vector Calculus —Pgs. 40

1.19 Gauss’s, Stoke’s and Green’s Theorems —Pgs. 43

2. Mechanics I —Pgs. 71

2.1 Motion —Pgs. 71

2.2 Motion Special Cases —Pgs. 72

2.3 Inertial Frame of Reference —Pgs. 75

2.4 Coordinate Systems —Pgs. 76

2.5 Laws of Motion —Pgs. 79

2.6 Gravitation —Pgs. 81

2.7 Work, Energy and Power —Pgs. 84

3. Mechanics II —Pgs. 162

3.1 Rotational Motion —Pgs. 162

3.2 Moments Of Inertia —Pgs. 166

3.3 The Inertia Matrix —Pgs. 170

4. General Properties of Matter —Pgs. 210

4.1 General Properties of Matter —Pgs. 210

4.2 Surface Tension —Pgs. 211

4.3 Viscosity —Pgs. 213

Mock Test Module I  —Pgs. 242

MODULE II

5. Oscillations —Pgs. 255

5.1 Simple Harmonic Oscillations —Pgs. 255

5.2 Free Oscillation with Damping —Pgs. 258

5.3 Forced Oscillations —Pgs. 258

6. Waves —Pgs. 288

6.1 Waves —Pgs. 288

6.2 Vibration of Strings, Rods and Air Columns —Pgs. 290

6.3 Doppler’s Effect in Sound —Pgs. 292

6.4 Doppler’s Effect in Light —Pgs. 294

7. Optics —Pgs. 320

7.1 Wave Optics —Pgs. 320

7.2 Interference —Pgs. 320

7.3 Diffraction —Pgs. 321

7.4 Polarization —Pgs. 322

7.5 Ray Optics —Pgs. 324

7.6 Optical Instruments —Pgs. 330

Mock Test Module II —Pgs. 360

MODULE III

8. Electricity and Magnetism I —Pgs. 373

8.1 Electrostatics —Pgs. 373

8.2 Capacitors —Pgs. 378

9. Electricity and Magnetism II —Pgs. 432

9.1 Magnetic Effects of Current —Pgs. 432

9.2 Electromagnetic Induction —Pgs. 435

9.3 Alternating Current —Pgs. 438

9.4 Electromagnetic Waves —Pgs. 440

9.5 Motion of Charge Particle in Electric and Magnetic Field —Pgs. 442

Mock Test Module III —Pgs. 504

MODULE IV

10. KTG and Thermodynamics —Pgs. 515

10.1 Kinetic Theory of Gases —Pgs. 515

10.2 Thermodynamics —Pgs. 518

10.3 Thermodynamics Functions —Pgs. 521

Mock Test Module IV —Pgs. 580

MODULE V

11. Modern Physics —Pgs. 593

11.1 Relativistic Mechanics —Pgs. 593

11.2 Radiation —Pgs. 595

11.3 Black Bodies —Pgs. 599

11.4 Matter Wave and Atomic Structure —Pgs. 601

11.5 Radio Activity —Pgs. 608

Mock Test Module V —Pgs. 665

MODULE VI

12. Solid State Physics —Pgs. 675

12.1 Solid State —Pgs. 675

12.2 Cubic Lattices – Different Symmetry —Pgs. 676

13. Electronic Devices and Electronics —Pgs. 699

13.1 Electronics —Pgs. 699

13.2 Semiconductor —Pgs. 702

14. BJT and Simple Oscillator   —Pgs. 728

14.1 Transistor —Pgs. 728

14.2 Types of Configuration —Pgs. 731

14.3 RC Coupled Amplifier —Pgs. 738

15. Boolean Algebra   —Pgs. 764

15.1 Analogue Signal and Digital Signals —Pgs. 764

15.2 Logic Gates and Truth Tables —Pgs. 764

Mock Test Module VI —Pgs. 785

JAM MOCK TEST PHYSICS —Pgs. 793

Being an M. Sc. (Physics) from the University of Rajasthan, Subhash Jain is an experienced educator and teacher-trainer, and an enthusiastic presenter, who has conducted numerous workshops, training seminars, professional development programmes, and consultations for educators and parents for over twenty years. He has also trained teachers of six senior secondary schools of NIMS, Dubai. Some of his papers and articles have been published in national and international newspapers, journals and magazines. One of his published books, How to Prepare for HT-JEE' is an informative/instructive publication for students preparing for the HT-JEE examinations.