Thermodynamic and Statistical Physics-Planck's Distribution Law (CSIR Physical Sciences): Questions 1 - 3 of 4

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Question number: 1

» Thermodynamic and Statistical Physics » Planck's Distribution Law

Appeared in Year: 2013

MCQ▾

Question

The speed v of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution law at an equilibrium temperature T. Let (vx,vy,vz) denote the components of the velocity and kB the Boltzmann constant. The average value of (αvxβvy)2, where α and β are constant, is – (December)

Choices

Choice (4) Response

a.

(αβ)2kBTm

b.

(α2β2)kBTm

c.

(α2+β2)kBTm

d.

(α+β)2kBTm

Question number: 2

» Thermodynamic and Statistical Physics » Planck's Distribution Law

Appeared in Year: 2014

MCQ▾

Question

A system can have three energy levels: E=0,±ε . The level E=0 is doubly degenerate, while the others are non-degenerate. The average energy at inverse temperature β is – (June)

Choices

Choice (4) Response

a.

εtanh(βε)

b.

εtanh(βε2)

c.

ε(eβεeβε)(1+eβε+eβε)

d.

zero

Question number: 3

» Thermodynamic and Statistical Physics » Planck's Distribution Law

MCQ▾

Question

In low density oxygen gas at low temperature, only the translational and rotational modes of the molecules are excited. The specific heat per molecule of the gas is – (December)

Choices

Choice (4) Response

a.

52kB

b.

kB

c.

12kB

d.

32kB

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