Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 12  16 of 77
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Question number: 12
» Mathematical Methods of Physics » Matrices
Appeared in Year: 2012
Question
A matrix A has eigenvalues and. The smallest value of such that is – (December)
Choices
Choice (4)  Response  

a.  20 

b.  60 

c.  30 

d.  120 

Question number: 13
» Mathematical Methods of Physics » Vector Algebra and Vector Calculus
Appeared in Year: 2014
Question
Let denote the position vector of any point in three dimensional space and . Then, (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Mathematical Methods of Physics » Green's Function
Appeared in Year: 2014
Question
If and C is the circle of unit radius in the plane defined by, with the centre on the z – axis, then the value of integral
is – (June)
Choices
Choice (4)  Response  

a. 


b.  s 

c.  0 

d.  π 

Question number: 15
» Mathematical Methods of Physics » Elementary Probability Theory
Appeared in Year: 2012
Question
In a series of five Cricket matches, one of the captains call ‘Heads’ every time when the toss is taken. The probability that he will win 3 times and loss 2 times is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 16
» 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. 

