Mathematical Physics (GATE Physics): Questions 15  19 of 71
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Question number: 15
» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness
Appeared in Year: 2012
Question
Identify the correct statement for the vectors and
Choices
Choice (4)  Response  

a.  The vectors and linearly dependent 

b.  The vectors and are orthogonal 

c.  The vectors and are normalized 

d.  The vectors and are linearly independent 

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. 

