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(DPHY 02)

M.Sc. (Previous) DEGREE EXAMINATION, MAY - 2015

First Year

PHYSICS

Paper – II : Classical Mechanics and Statistical Mechanics

Time : 03 Hours Maximum Marks : 80

Answer Any Five questions

All questions carry equal marks

1) a) Define constraints. Write about holonomic and non holonomic constraints.

b) Derive the Lagrangian equation from Hamilton principle.

2) a) Write about angular momentum and kinetic energy of a rigid body.

b) Obtain the relations of inertia tensor and discuss moment of inertia.

3) a) Deduce the Lorentz transformation equation of special theory of relativity.

b) Explain Lagrangian and Poisson brackets with examples.

4) a) What are small oscillations. Discuss forced vibrations.

b) Discuss the vibrations of linear triatomic molecule.

5) a) State and explain Boltzmann equipartition theorem.

b) State and prove Liouville’s theorem.

6) a) Define ensemble, phase space and Î¼-space.

b) Distinguish between microcanonical, canonical and gand canonical ensembles.

7) What do you mean by partition function. Express Helmholtz free energy and entropy in terms of the partition function.

8) a) Derive the distribution law for Bose-Einstein statistics.

b) Explain Bose-Einstein condensation.

9) Write notes on any two of the following:

a) D’ Alembert’s principle.

b) Hamilton’s principle

c) Gibb’s paradox

d) White dwarfs

(DPHY 02)

M.Sc. (Previous) DEGREE EXAMINATION, MAY - 2015

First Year

PHYSICS

Paper – II : Classical Mechanics and Statistical Mechanics

Time : 03 Hours Maximum Marks : 80

Answer Any Five questions

All questions carry equal marks

1) a) Define constraints. Write about holonomic and non holonomic constraints.

b) Derive the Lagrangian equation from Hamilton principle.

2) a) Write about angular momentum and kinetic energy of a rigid body.

b) Obtain the relations of inertia tensor and discuss moment of inertia.

3) a) Deduce the Lorentz transformation equation of special theory of relativity.

b) Explain Lagrangian and Poisson brackets with examples.

4) a) What are small oscillations. Discuss forced vibrations.

b) Discuss the vibrations of linear triatomic molecule.

5) a) State and explain Boltzmann equipartition theorem.

b) State and prove Liouville’s theorem.

6) a) Define ensemble, phase space and Î¼-space.

b) Distinguish between microcanonical, canonical and gand canonical ensembles.

7) What do you mean by partition function. Express Helmholtz free energy and entropy in terms of the partition function.

8) a) Derive the distribution law for Bose-Einstein statistics.

b) Explain Bose-Einstein condensation.

9) Write notes on any two of the following:

a) D’ Alembert’s principle.

b) Hamilton’s principle

c) Gibb’s paradox

d) White dwarfs

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