CSIR Physical Sciences: Questions 51 - 52 of 401

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Question number: 51

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2014

MCQ▾

Question

A time – dependent current I(t)=Ktz^; (where K is a constant) is switched on at t=0 in an infinite current – carrying wire. The magnetic vector potential is at a perpendicular distance ‘a’ from the wire. The magnetic vector potential at a perpendicular distance a from the wire is given (fortimet>ac) by – (June)

Choices

Choice (4) Response

a.

z^μ0K4πc2t2a2c2t2a2dzt(a2+z2)12

b.

z^μ0K4πCctctdz(cta2+z2)(a2+z2)12

c.

z^μ0K4πCc2t2a2c2t2a2dz(cta2+z2)(a2+z2)12

d.

z^μ0K4πctctdzt(a2+z2)12

Question number: 52

» 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

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