CSIR Physical Sciences: Questions 40  43 of 389
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Question number: 40
» Mathematical Methods of Physics » Eigenvalues and Eigenvectors
Appeared in Year: 2014
Question
The column vector is a simultaneous eigenvector of and if,
(December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 41
» Thermodynamic and Statistical Physics » Laws of Thermodynamics
Appeared in Year: 2014
Question
The pressure P of a fluid is related to its number density by the equation of state where and are constants. If the initial volume of the fluid is the work done on the system when it is compressed so as to increase the number density from an initial value of to is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 42
» Mathematical Methods of Physics » Special Functions » Laguerre
Appeared in Year: 2011
Question
The generating function,
For the Legendre polynomials is . The value of is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  +1  
d. 

Question number: 43
» 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 