CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 168  171 of 463
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Question number: 168
» Mathematical Methods of Physics » Elements of Complex Analysis
Appeared in Year: 2014
Question
Consider the function of a complex variable . The singularities of are as follows: (December)
Choices
Choice (4)  Response  

a.  branch points at and ; and a pole at for all . 

b.  branch points at and 

c.  branch points at and ; and a pole at for all other than 

d.  branch points at and ; and a pole at only for . 

Question number: 169
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2014
Question
The Hamiltonian for a three – state quantum system is given by matrix, . When perturbed by where , the resulting shift in the energy eigenvalue is (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 170
» Classical Mechanics » Dynamical System
Appeared in Year: 2011
Question
A particle of unit mass moves in a potential, where and are positive constants. The angular frequency of small oscillations about the minimum of the potential is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 171
» Electronics and Experimental Methods » AD and Da Converters
Appeared in Year: 2011
Question
A signal of frequency 10 kHz is being digitized by converter. A possible sampling time which can be use is – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

