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Phy – 1101

Vector Analysis

3.00 Credit

**Section – A**

**Vector and Scalar:**Vectors; Scalars; Vector algebra; Laws of vector algebra; Unit vector; Rectangular unit vectors; Components of a vector; Scalar field; Vector field; Dot product; Cross product; Triple product.

**Vector Differentiation:**Ordinary derivatives of vectors; Space curve; Differentiation formulae; Partial derivatives of vectors; Differentials of vectors.

**Gradient, Divergence and Curl:**The vector differential operator del; Gradient; Divergence; Curl; Formulae involving del; Invariance.

**Section – B**

**Vector Integration:**Ordinary integrals of vectors; Line integrals; Surface integrals; Volume integrals.

**The Divergence Theorem, Stock’s Theorem and Related Integral Theorems:**Gauss’s divergence theorem; Stock’s theorem; Green’s theorem in the plane; Related integral theorems; Integral operator form for del.

__Books Recommended__*Resnick, R. and Halliday, D.:*Physics, New Age International Publisher.*Resnick, R. and Halliday, D. and Walker, J.:*Fundamental of Physics, John Wiley and Sons*Sears, F.W. Zemansky, M.W. and Young, University Physics, Addison Wesley Publishing Company**Spiegl, M.:*Vector Analysis, McGraw Hill Book Company*Sears, F.W.:*Mechanics, Wave Motion& Heat; Addison. Wesley Publishing Company*Symon, K.R. Mechanics, Addison. Wesley Publishing Company**Resnick, R., Halliday, D. & Krane, K.: Physics, John Wiley & Sons*

Phy– 1103

Mechanics and Properties of Matter

3.00 Credit

**Section – A**

**Section – B**

**Books Recommended:**1. Resnick, R. and Halliday, D.: Physics, New Age International Publisher 2. Resnick, R. and Halliday, D. and Walker, J.: Fundamental of Physics, John Wiley and Sons 3. Sears, F.W. Zemansky, M.W. and Young,H.D.:University Physics, Addison Wesley Publishing Company 4. Mathur, D. S.: Elements of Properties of Matter, Shyamlal Charitable Trust. 5. Tewari, K. K.: Electricity and magnetism with Electronics,S. Chand and Company Ltd 6. Neuman & Searle: Properties of Matter 7. Resnick, R., Halliday, D. & Krane, K.: Physics, John Wiley & Sons

Phy – 1105

Waves and Oscillation

3.00 Credit

**Section – A**

**Free Vibration:**Harmonic motion; Mathematical representation; Boundary conditions; Vector representation; Velocity, acceleration and their phase relationship; Energy of a harmonic oscillator; Physical and torsional pendulum; Plasma vibration.

**Damped and Forced Vibration:**Damping forces; Types of damping; Logarithmic decrement; Relaxation time and quality factor (Q); Forced oscillator; Steady state and transient solutions.

**Coupled Oscillators and Normal Modes of Continuous System:**Coupled oscillators; Normal coordinates and normal modes; Forced vibration of a coupled oscillator.

**Section – B**

**Fundamentals of Waves:**Wave motion; Types of waves; Wave generation; Wave equation and solution; Energy, power and speed of traveling waves; Plane and spherical waves; Introduction to some wave phenomena in physics.

**Superposition of Periodic Motions:**Principle of superposition; Superimposed vibration of equal and different frequencies; Stationary waves; Beats; Combination of two vibrations at right angles; Lissajous figures.

**Sound Waves and Acoustics:**Sources; Propagation and speed of sound in fluid and solid media; Musical sound; Doppler’s effect; Infrasonic and ultrasonic; General idea of acoustics and Reberveration.

__Books Recommended:__1. |
Coulson, C.A.: |
Waves |

2. |
A.B. Wood, A.B.: |
A Text book of Sound |

3. |
N.W. Molechlan, N.W.: |
Theory of Vibration |

4. |
Haliday, D., Resnick, R., & Krane, K.S.: |
Physics Vol.1 |

5. |
A. Beiser, A.: |
Main Streams of Physics |