CSIR (Council of Scientific & Industrial Research) Physical Sciences: Questions 187  190 of 463
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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 

Question number: 190
» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom
Appeared in Year: 2011
Question
The energy levels of the non –relativistic electron in a hydrogen atom i. e. , in a Coulomb potential are given by, where, n is principal quantum number, and the corresponding wave functions are given by , where is the orbital angular momentum quantum number and m is the magnetic quantum number. The spin of the electron is not considered. Which of the following is a correct statement?  (June)
Choices
Choice (4)  Response  

a.  does not depend on and for the Coulomb potential 

b.  There are different wave function for each 

c.  There is a unique wave function and 

d.  There are exactly different wave function , for each 
