Mathematical Methods of Physics-Poles, Residues & Evaluation of Integrals (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 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, Equation the value of,

Equation

(December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

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

Appeared in Year: 2014

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

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

Appeared in Year: 2014

MCQ▾

Question

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

Equation

is – (June)

Choices

Choice (4) Response

a.

Equation

b.

0

c.

d.

Equation

Question number: 4

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

Appeared in Year: 2014

MCQ▾

Question

The integral Equation 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

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