13.
14.
15.
16.
17.

18.
19.
20.
21.
22.
23.

27.

29.

What you mean by degrees of Freedom ?

Define Central force.
formation equations.

Write the expression for galilean trans

What is principle of equivalence ?
Explain time dilation. (7 x 2=14
= 14 marks)

Section C

Answer any five questions.

Each question carries 4 marks.
Answer in one paragraph.

Explain different type of constraints.
Explain conservation of linear momentum.

Define Centre of mass.
State and deduce Kepler’s second law of planetary motion.

Briefly explain covariance of the physical laws.

What you mean by ether hypothesis in relativity.

Deduce a expression of Mass energy relation in relativity.
(5 x 4 = 20 marks)

Section D

Answer any four questions.
Each question carries 4 marks.

mentum of a photon in terms of wavelength 4. How much is the rest mass of

Express for the mo
n ? Calculate the relativistic mass of the photon of wavelength 50004.

the photo:
moving in a central force field located at r = 0, describes a spiral r= e°® . Prove that the

A particle,
magnitude of force is inversely propotional (൨7൯,

A meson has a speed 0.8 ८ relative to the ground. Find how far the meson travels relative to the
ground. If its speed remains constant and the time of its flight, relative to the system, in which it ia

at rest, is 2 x 10-6 sec.
Consider the motion of a particle of mass m. using Cartesian coordinates as generalized coordinates,

deduce Newton's equation of motion from Lagrange’s equations,
An electron and a positron practically at rest come together and annihilate each other Calculate

the energy released.