CSIR Physical Sciences: Questions 1 - 3 of 401

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Question number: 1

» Thermodynamic and Statistical Physics » Thermodynamic Potentials

Appeared in Year: 2013

MCQ▾

Question

A vessel has two compartments of volume V1 and V2, containing an ideal gas at pressure P1 and P2, and temperatures T1 and T2 respectively. If the wall separating the compartments is removed, the resultant equilibrium temperature will be – (June)

Choices

Choice (4) Response

a.

P1T1+P2T2P1+P2

b.

V1T1+V2T2V1+V2

c.

(T1T2)12

d.

P1V1+P2V2P1V1T1+P2V2T2

Question number: 2

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2013

MCQ▾

Question

The Hamiltonian of a relativistic particle of rest mass m and momentum p is given by H=p2+m2+V(x) , in units in which the speed of light c=1 . The corresponding Lagrangian is – (December)

Choices

Choice (4) Response

a.

L=m1x˙2V(x)

b.

L=12mx˙2V(x)

c.

L=m1+x˙2V(x)

d.

L=1+mx˙2V(x)

Question number: 3

» Classical Mechanics » Rigid Body Dynamics - Moment of Inertia Tensor

Appeared in Year: 2013

MCQ▾

Question

A uniform cylinder of radius r and length l and a uniform sphere of radius R are released on an inclined plane when their centers of mass are at same height. If they roll down without slipping and if the sphere reaches the bottom of plane with a speed V, then the speed of the cylinder when it reaches the bottom is: (June)

Choices

Choice (4) Response

a.

V1415

b.

4Vr15R

c.

V14rl15R2

d.

4V15

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