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

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Question number: 5

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

Appeared in Year: 2011

MCQ▾

Question

The value of the integral Cz2ezdz , 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.

5ee

b.

5ee

c.

5e+e

d.

e5e

Question number: 6

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

Appeared in Year: 2012

MCQ▾

Question

The value of the integral c(z3dzz25z+6) , where C is a closed contour defined by the equation 2 z 5=0 , traversed in the anti – clockwise direction, is –

(December)

Choices

Choice (4) Response

a.

16πi

b.

2πi

c.

8πi

d.

16πi

Question number: 7

» 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: 8

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

Appeared in Year: 2011

MCQ▾

Question

The value of the real integral I=3+3dxx2+3x+2 is – (December)

Choices

Choice (4) Response

a.

b.

ln(25)

c.

0

d.

3π2

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