DAW-CSE23

nodal planes, system of two thin lenses, chromatic and spherical aberrations. Questions: Q 1. A thin converging lens and a thin diverging lens are placed coaxially at a distance of 5 cm. If the focal Length of each lens is 10 cm, find for the combination (i) the focal length (ii) the power (iii) the […]

Laws of reflection and refraction from Fermat’s principle; Matrix method in paraxial optics-thin lens formula, Questions: Q 1. State and explain the Fermat’s principle of extremum path. Discuss the cases of rectilinear propagation of light and reversibility of light rays in the context of Fermat’s principle. Using Fermat’s principle, deduce thin lens formula. [15 marks]

Simple Beats; Stationary waves in a string; Pulses and wave packets; Phase and group velocities; Reflection and Refraction from Huygens’ principle. motion, damped oscillation, forced oscillation and resonance; Questions: Q 1. An observer on a railway platform observed that as a train passed through the station at 108 km/hr, the frequency of the whistle appeared

Simple harmonic motion, damped oscillation, forced oscillation and resonance; Questions: Q 1. During an earthquake, a horizontal shelf moves vertically. If its motion can be regarded as simple harmonic motion, calculate the maximum value of amplitude of oscillation so that the books resting on it stay in contact with it always. Take   g=9.9 m/s2g=9.9\ m/s^2g=9.9 m/s2

aberration and Doppler effect, mass-energy relation, simple applications to a decay process; Four dimensional momentum vector; Covariance of equations of physics. Questions: Q 1. A meson of rest mass π\piπ comes to rest and disintegrates into a muon of rest mass μ\muμ and a neutrino of zero rest mass. Show that the kinetic energy of

Michelson-Morley experiment and its implications; Lorentz transformations-length contraction, time dilation, addition of relativistic velocities, Questions: Q 1. Two β-particles A and B emitted by a radioactive source R travel in opposite directions, each with a velocity of 0.9 c with respect to the source. Find the velocity of B with respect to A (Here c

Elasticity, Hooke’s law and elastic constants of isotropic solids and their inter-relation; Questions: Q 1. State and explain stokes’ law. A drop of water of radius 0.01 m is falling through a medium whose density is   1.21kg/m31.21 kg/m^31.21kg/m3 and η=1.8×10−5N−s/m\eta= 1.8\times 10^{-5}N-s/mη=1.8×10−5N−s/m  . Find the terminal velocity of the drop of water. [15 marks]

Elasticity, Hooke’s law and elastic constants of isotropic solids and their inter-relation; Questions: Q 1. A rubber cord 1mm in diameter and 1 m long is fixed at one end and a weight of 1 kg is attached to the other end. If they Young’s modulus of rubber is 0.05×1011cm−20.05 × 10^{11} cm^{-2}0.05×1011cm−2, then find

Equation of motion for rotation; Molecular rotations (as rigid bodies); Di and tri-atomic molecules; Precessional motion; top, gyroscope. Questions: Q 1. A sphere of mass 0.5kg rolls on a smooth surface without slipping with a constant velocity of 3.0 m/s. Calculate its kinetic energy (2021) Q 2. Where do you find the applications of gyroscope?

Rigid body; Degrees of freedom, Euler’s theorem, angular velocity, angular momentum, moments of inertia, theorems of parallel and perpendicular axes, Questions: Q 1. A homogeneous right triangular pyramid wih the base side aaa and height 32a\frac32a23​a is shown below. Obtain the moment of inertia tensor of the pyramid. [15 marks] Q 2. The angular momentum