CSIR Physical Sciences: Questions 47 - 50 of 401

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Question number: 47

» 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: 48

» 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: 49

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2014

MCQ▾

Question

A charged particle is at a distance d from an infinite conducting plane maintained at zero potential. When released from rest, the particle reaches a speed u at a distance d2 from the plane. At what distance from the plane will the particle reach the speed 2u ? (June)

Choices

Choice (4) Response

a.

d6

b.

d5

c.

d3

d.

d4

Question number: 50

» Electromagnetic Theory » Interference

Appeared in Year: 2012

MCQ▾

Question

Consider the interference of two coherent electromagnetic waves whose electric field vectors are given by E1=i^E0cosωt and E2=j^E0cos(ωt+ϕ) where ϕ is the phase difference. The intensity of the resulting wave is given by ε02E2 , where E2 is the time average of E2 . The total intensity is – (December)

Choices

Choice (4) Response

a.

ε0E02cos2ϕ

b.

ε0E02sin2ϕ

c.

0

d.

ε0E02

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