CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 199  201 of 401
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Question number: 199
» Mathematical Methods of Physics » Introductory Group Theory  SU(2) and O(3)
Appeared in Year: 2014
Question
Let and be complex numbers. Which of the following sets of matrices forms a group under matrix multiplication? (December)
Choices
Choice (4)  Response  

a.  where 

b.  , where is real 

c.  where 

d. 


Question number: 200
» Thermodynamic and Statistical Physics » Maxwell Relations
Appeared in Year: 2011
Question
A system of N non – interacting spin particles is placed in external magnetic field H. The behaviour of the entropy of the system as a function of energy is given by – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 201
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2011
Question
The value of the integral , where C is an open contour in the complex Z – plane as shown in the figure below is –
(June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

