Mathematical Methods of Physics (CSIR Physical Sciences): Questions 1 - 4 of 65

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Question number: 1

» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order

Appeared in Year: 2013

MCQ▾

Question

A planet of mass m and an angular momentum L moves in a circular orbit in a potential, V(r)=kr , where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillation is – (June)

Choices

Choice (4) Response
a.

2mk2L3

b.

mk2L3

c.

3mk2L3

d.

mk22L3

Question number: 2

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2013

MCQ▾

Question

The expression:

(2x12+2x22+2x32+2x42)1(x12+x22+x32+x42)

Is proportional to – (December)

Choices

Choice (4) Response
a.

(x12+x22+x32+x42)32

b.

(x12+x22+x32+x42)2

c.

δ(x1+x2+x3+x4)

d.

δ(x1)δ(x2)δ(x3)δ(x4)

Question number: 3

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2013

MCQ▾

Question

The approximation cosθ1 is valid up to 3 decimal places as long as θ is less than: (take1800π=57.290)

(June)

Choices

Choice (4) Response
a.

4.010

b.

1.810

c.

3.280

d.

1.280

Question number: 4

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

Appeared in Year: 2013

MCQ▾

Question

Given that the integral, 0dxy2+x2=π2y, the value of,

0dx(y2+x2)2is

(December)

Choices

Choice (4) Response
a.

π4y3

b.

π8y3

c.

πy3

d.

π2y3

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