Paper I Total Marks: 100
Table of Contents
Mechanics
Vectors -Dots, Cross and triple products, Gradient, divergence and applications. Curl of a vector field; Gauss’s Theorem; Stokes theorem
Newtonian laws of motion; motion of charged particles in electric and magnetic fields; Motion in a circle, Law of conservation of energy; Conservation of linear and angular momentum; Dynamics of rigid body; spin and precession; gyroscope; Gravitation; planetary motion including satellite work energy theorem. Special theory of relativity. Mischelson – Morley experiment, Einstein’s postulates; Lorentz transformation; time dilation, length contraction; equivalence of mass and energy.
Fluid Mechanics
Surface tension; Viscosity; elasticity; fluid motion and Bernoulli’s theorem. Waves and Oscillation
Free oscillation with one and two degrees of freedom; free and forced oscillations, Lissagous figure, Coupled oscillations, Travelling waves and transmission of energy; Phase and Group velocity; Standing waves Longitudinal waves.
Reflection, Refraction, Interference, Diffraction and Polarization of waves; interferometer and Newton’s rings; Diffraction Gratings and their resolving power; Spectrometers. Electromagnetic wave equation; Normal and anamolous dispersion; Coherence, lasers and its application.
Heat and Thermodynamics
Perfect gas and Vander Waals equation; Three Laws of Thermodynamics; Entropy, entropy of an ideal gas; Helmbroltz function, Gibbs function; Maxwell’s equations; Enthalpy, Thermal properties of Simple system; Production and measurement of low temperatures; Kinetic theory of gases; Maxwellian distribution of molecular velocities; Brownian motion; Transport phenomena. Classical Maxwell-Boltzmann Statistics and its applications, Quantum Bose-Einstein and Fermi-Dirac Statistics.
SUGGESTED READINGS
1. Perspectives of Modem Physics, A.Beiser.
2. Fundamentals of Physics, Halliday & Resnick.
3. Introduction to Electromagnetic fields and Waves. D. Corson & P .Lorrain.
4. Engineering Electronics. J.D. Ryder.
5. Semiconductor Electronics. J.F.Gibbons.
6. Physics Course. Berkley.
7. Heat and Thermodynamics. W. Zemanasky.
8. Nuclear Physics, W.E. Burcham.
9. Nuclear Physcis, Kaplan
10. Fundamentals of digital electronics, Floyd
11. Waves & Vibrations, Pain