Mathematical Methods of Physics (CSIR Physical Sciences): Questions 14 - 16 of 65

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Question number: 14

» Mathematical Methods of Physics » Green's Function

Appeared in Year: 2014

MCQ▾

Question

If A=xyi^+zxj^+xyk^ and C is the circle of unit radius in the plane defined by z=1 , with the centre on the z – axis, then the value of integral

CAdl

is – (June)

Choices

Choice (4) Response

a.

π4

b.

π2 s

c.

0

d.

π

Question number: 15

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2012

MCQ▾

Question

In a series of five Cricket matches, one of the captains call ‘Heads’ every time when the toss is taken. The probability that he will win 3 times and loss 2 times is – (December)

Choices

Choice (4) Response

a.

516

b.

316

c.

58

d.

18

Question number: 16

» 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

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