Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 45  49 of 77
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Question number: 45
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2012
Question
The value of the integral , where C is a closed contour defined by the equation , traversed in the anti – clockwise direction, is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 46
» Mathematical Methods of Physics » Taylor & Laurent Series
Appeared in Year: 2012
Question
The Taylor expansion of the function , where is real, about the point starts with the following terms – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» Mathematical Methods of Physics » Partial Differential Equations
Appeared in Year: 2013
Question
If , then the integral
(Where C is along the perimeter of a rectangle area bounded by and ) is – (Dec 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  0 

Question number: 48
» Mathematical Methods of Physics » Finite Difference Methods
Appeared in Year: 2013
Question
The solution of the differential equation with the initial condition will blow up as tends to – (June – 2013)
Choices
Choice (4)  Response  

a. 


b.  2 

c.  1 

d. 


Question number: 49
» Mathematical Methods of Physics » Fourier and Laplace Transforms
Appeared in Year: 2013
Question
The Fourier transform of the derivative of the Dirac function, namely , is proportional to – (Dec 2013)
Choices
Choice (4)  Response  

a. 


b. 


c.  1 

d.  0 
