# Physics

#### I. Mechanics

Vectors: Dots, Cross and triple products, Gradient, divergence, curl and

applications.

Newtonian laws of motion: calculus based approach to kinematics, forces and dynamics, conservation law of energy; conservation of linear and angular momentum;

Dynamics of rigid body; spin and precession; gyroscope; Gravitation; planetary motion and satellites; Kepler’s laws; centripetal forces

Special theory of relativity:

Michelson-Morley experiment and Einstein’s postulates; Lorentz transformation; time dilation and length contraction; equivalence of mass and energy.

#### II. Fluid Mechanics

Surface tension; Viscosity; Elasticity; fluid motion and Bernoulli’s theorem.

#### III. Waves and Oscillations, Optics

Free oscillation with one and two degrees of freedom; forced and damped

oscillations and phenomenon of resonance; Simple harmonic motion; Traveling waves and transmission of energy; Phase and Group velocity; standing waves; Basics of sound waves.

Reflection, Refraction, Interference, Diffraction and Polarization of waves; interfero meter and Newton’s rings; Diffraction Gratings and their resolving power; spectrometers. Electromagnetic wave equation; normal and anamolous dispersion; coherence, lasers and applications.

#### IV. Heat and Thermodynamics

Perfect gas, real gas and Van der Waals equation; Three Laws of

Thermodynamics; internal energy; temperature; entropy; Thermal properties of simple systems; kinetic theory of gases; Maxwellian distribution of molecular velocities; Brownian motion; Transport phenomena. Classical Maxwell-Boltzmann Statistics and its application; Bose-Einstein and Fermi-Dirac Statistics.

#### PAPER—II (Marks-100)

#### I. Electricity and Magnetism

Electric field due to point charges; Gauss’ law; Electric potential; Poisson and Laplace’s Moving equations; Dielectric medium and field;

Polarization; Capacitance; charges and resulting magnetic Ampere’s law; Magnetic properties of matter; Faraday’s law of electromagnetic induction; Alternating current and RLC circuit; Poynting theorem and Poynting Vector. Maxwell’s equations in integral and differential form; scalar and vector potential.

#### II. Modern and Quantum Physics

Waves and particles and De Broglie’s Hypothesis; Operators and quantum states; observables; time dependent and independent Schrodinger equation; angular momentum; spin-1/2 particle in a magnetic field; wave mechanics; particle in a box; tunneling; one-dimensional harmonic oscillator; Heisenber’s uncertainty relationship and indeterminacy based on commutation properties of operators; Bohr’s theory and quantum numbers including electron spin; Pauli’s exclusion principle; Spectra of simple systems with one or two valence electrons; photo electric effect; Compton scattering; pair production; Lande’s g factor and Zeeman effect. Raman effect;

#### III. Solid State Physics

Crystal lattice and structure, Bravais lattice, free electron model, Band theory and electron in a periodic potential, Fermi energy and density of states, n and p type semiconductors, physics of the transistor and MOSFET, dielectric properties, magnetic properties and origin of magnetism.

#### IV. Nuclear Physics

Structure of Nuclei; Radioactivity,, and decay; Methods of detection of

nuclear radiation, Mass Sepectrometer; Accelerators; Phenomenon of

fission; reactor and nuclear power; nuclear fusion and its applications; Elementary particles and their properties.

#### SUGGESTED READINGS

S. No. | Title | Author |

1 | Perspectives of Modern Physics. | A. Beiser. |

2 | Fundamentals of Physics. | Halliday & Resnick |

3 | Introduction to Electromagnetic Fields and Waves. | D. Corson & P. Lorrain. |

4 | Heat and Thermodynamics. | D. Zemansky |

5 | Introduction to Quantum Mechanics | D. Griffiths |

6 | Modern Physics | Serway, Moses, Moyer. |

7. | Solid State Physics | C. Kittel |