1. (a) Mechanics of Particles : Laws of motion; conservation of energy and momentum, applications to rotating frames, centripetal and Coriolis accelerations; Motion under a central force; Conservation of angular momentum, Kepler's laws; Fields and potentials; Gravitational field and potential due to spherical bodies, Gauss and Poisson equations, gravitational self-energy; Two-body problem; Reduced mass; Rutherford scattering; Centre of mass and laboratory reference frames.
(b) Mechanics of Rigid Bodies : System of particles; Centre of mass, angular momentum, equations of motion; Conservation theorems for energy, momentum and angular momentum; Elastic and inelastic collisions; Rigid Body; Degrees of freedom, Euler's theorem, angular velocity, angular momentum, moments of inertia, theorems of parallel and perpendicular axes, equation of motion for rotation; Molecular rotations (as rigid bodies); Di and tri-atomic molecules; Precessional motion; top, gyroscope.
(c) Mechanics of Continuous Media : Elasticity, Hooke's law and elastic constants of isotropic solids and their inter-relation; Streamline (Laminar) flow, viscosity, Poiseuille's equation, Bernoulli's equation, Stokes' law and applications.
(d) Special Relativity : Michelson-Morely experiment and its implications; Lorentz transformations length contraction, time dilation, addition of relativistic velocities, aberration and Doppler effect, mass-energy relation, simple applications to a decay process. Four dimensional momentum vector; Covariance of equations of physics.
2. Waves and Optics :
(a) Waves
(b) Geometrial Optics
(c) Interference
(d) Diffraction
(e) Polarisation and Modern Optics
3. Electricity and Magnetism :
(a) Electrostatics and Magnetostatics
(b) Current Electricity
4. Electromagnetic Waves and Blackbody Radiation
5. Thermal and Statistical Physics :
(a) Thermodynamics
(b) Statistical Physics
