Mathematical Physics (GATE Physics): Questions 16  20 of 71
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Question number: 16
» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications
Appeared in Year: 2012
Question
The value of the integral , using the contour of circle with unit radius is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 17
» Mathematical Physics » Elements of Complex Analysis » CauchyRiemann Conditions
Appeared in Year: 2012
Question
The number of independent component of the symmetric with indices is –
Choices
Choice (4)  Response  

a.  6 

b.  3 

c.  1 

d.  9 

Question number: 18
» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications
Appeared in Year: 2013
Write in Short
For the function , the residue at the pole is (your answer should be an integer) .
Question number: 19
» Mathematical Physics » Laplace Transforms
Appeared in Year: 2013
Question
Which of the following pairs of the given function and its Laplace transform is NOT CORRECT?
Choices
Choice (4)  Response  

a. 


b. 


c.  (Singularity at + 0) 

d. 


Question number: 20
» Mathematical Physics » Matrices
Appeared in Year: 2011
Question
A matrix has elements such that its trace is and its determinant is . The eigenvalues of the matrix are all known to be positive integers. The largest eigenvalue of the matrix is –
Choices
Choice (4)  Response  

a.  12 

b.  6 

c.  18 

d.  9 
