Mathematical Methods of PhysicsPoles, 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
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
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
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
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
Question
The value of the integral , where C is an open contour in the complex Z – plane as shown in the figure below is –
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

