CSIR Physical Sciences: Questions 186  189 of 401
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Question number: 186
» Mathematical Methods of Physics » Eigenvalues and Eigenvectors
Appeared in Year: 2011
Question
A matrix M has . Which of the following can be a possible set of eigenvalue of M? 
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 187
» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals
Appeared in Year: 2014
Question
The integral is to be evaluated up to 3 decimal places using Simpson’s 3 – point rule. If the interval [0, 1] is divided into 4 equal parts, the correct result is – (June)
Choices
Choice (4)  Response  

a.  0.657 

b.  0.638 

c.  0.683 

d.  0.667 

Question number: 188
» Quantum Mechanics » SpinStatistics Connection
Appeared in Year: 2014
Question
A collection N of non – interacting spins , is kept in an external magnetic field B at a temperature T. The Hamiltonian of the system is . What should be the minimum value of for which the mean value ? (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 189
» Atomic & Molecular Physics » Diatomic Molecules » Vibrational
Appeared in Year: 2014
Question
If the leading anharmonic correction to the energy of the energy of vibrational level of a diatomic molecule is with , the total number of energy levels possible is approximately, (December)
Choices
Choice (4)  Response  

a.  1000 

b.  250 

c.  500 

d.  750 
