CSIR Physical Sciences: Questions 294 - 297 of 389

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Question number: 294

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

Appeared in Year: 2012

MCQ▾

Question

The value of the integral

1t2R2cos(πt2R)dt is – (June)

Choices

Choice (4) Response

a.

2πR

b.

πR

c.

2πR

d.

πR

Question number: 295

» Electromagnetic Theory » Radiation- From Moving Charges

Appeared in Year: 2012

MCQ▾

Question

When a charged particle emits electromagnetic radiation, the electric field E and the Poynting vector S=1μ0E×B at a large distance r from the emitter vary as 1rn and 1rm respectively. Which of the following choices for n and m are correct? (December)

Choices

Choice (4) Response

a.

n=1andm=1

b.

n=1andm=2

c.

n=2andm=4

d.

n=2andm=2

Question number: 296

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

Appeared in Year: 2012

MCQ▾

Question

Two bodies of equal mass m are connected by a massless rigid rod of length l lying in the XY – plane with the centre of the rod at the origin. If this system is rotating about the z axis with a frequency ω , its angular momentum is – (December)

Choices

Choice (4) Response

a.

ml2ω4

b.

ml2ω

c.

ml2ω2

d.

2ml2ω

Question number: 297

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

The vector potential A due to a magnetic moment m at a point r is given by A=m×rr3 . If m is directed along the positive z – axis, the x – component of the magnetic field, at the point r , is – (June)

Choices

Choice (4) Response

a.

3myzr5

b.

3mxzr5

c.

3mxyr5

d.

3m(z2xy)r5

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