College of Technology, Pantnagar

Rotation of rigid bodies, angular momentum, inertial coefficients, parallel and perpendicular axis theorem, moment of inertia of rigid bodies like sphere, spherical shell, disk, cylinder, and motion on inclined plane. Michelson Morley experiment, Inertial frames of reference, Postulates of special theory of relativity, Lorentz transformation equations of space and time, Length contraction, time dialation, longitudinal Doppler effect, velocity addition formula, relativistic mass, relativistic energy, transformation of momentum and energy, equivalence of mass and energy. Scalar and vector fields, gradient, divergence, curl of the fields, Gauss’s divergence and Stoke’s theorem, Gauss’s law and its applications, Poisson and Laplace equations, Magnetic field, some properties of the magnetic field, vector potential, field of any current carrying wire, electric conduction in a magnetic field (the Hall effect). Faraday’s law, Mutual inductance, self-inductance, energy stored in magnetic field, a circuit containing L,C & R, the displacement current and Maxwell’s equations, solution of Maxwell’s equations in free space. Para-dia-ferro, and antiferro magnetic materials, B-H curve, Hysteresis. Free oscillations of system with one and two degrees of freedom, Transverse mode of continuous string, Modes of non-continuous systems with N degrees of freedom. Transverse oscillations of a beaded string, longitudinal oscillations of springs and masses, coupled pendulums.