Mathematical Physics (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 17  22 of 76
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
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 

Question number: 21
» Mathematical Physics » Vector Calculus
Appeared in Year: 2011
Question
The unit vector normal to the surface at the point is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» Mathematical Physics » Vector Calculus
Appeared in Year: 2013
Question
If and are constant vectors, then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

