CSIR Physical Sciences: Questions 318  320 of 389
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Question number: 318
» Mathematical Methods of Physics » Analytic Functions
Appeared in Year: 2012
Question
A bag contains many balls, each with a number painted on it. There are exactly balls which have the number (namely one ball with 1, two balls with 2, and so on until N balls with N on them). An experiment consists of choosing a ball at random, nothing the number on it and returning it to the bag. If the experiment is repeated a large number of times, the average value of the number will tend to – (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 319
» Quantum Mechanics » Variational Method
Appeared in Year: 2012
Question
A variational calculation is done with the normalized trial wavefunction for the one dimensional potential well , the ground state energy is estimated to be, (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 320
» Atomic & Molecular Physics » Diatomic Molecules » Vibrational
Appeared in Year: 2012
Question
A system has two normal modes of vibration, with frequencies and . What is the probability that at temperature T, the system has an energy less than ?
[In the following and Z is the partition function of the system]
(June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
