Mathematical Methods of Physics-Poles, Residues & Evaluation of Integrals (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 5 of 8

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Question number: 1

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

Appeared in Year: 2013

MCQ▾

Question

Given that the integral, the value of,

(December)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

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

Appeared in Year: 2014

MCQ▾

Question

A time – dependent current (where K is a constant) is switched on at 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 by – (June)

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

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

Appeared in Year: 2014

MCQ▾

Question

If C is the contour defined by, the value of the signal

is – (June)

Choices

Choice (4) Response

a.

b.

0

c.

d.

Question number: 4

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

Appeared in Year: 2014

MCQ▾

Question

The integral is to be evaluated up to 3 decimal places using Simpson’s 3 – point rule. If the interval [0,1] is divided into 4 equal parts, the correct result is – (June)

Choices

Choice (4) Response

a.

0.657

b.

0.638

c.

0.683

d.

0.667

Question number: 5

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

Appeared in Year: 2011

MCQ▾

Question

The value of the integral , where C is an open contour in the complex Z – plane as shown in the figure below is –

Open contour in the complex Z plane

Open Contour in the Complex Z Plane

In figure an open contour in the complex Z – plane is shown.

(June)

Choices

Choice (4) Response

a.

b.

c.

d.

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