Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 50  53 of 80
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Question number: 50
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2013
Question
Consider a two – dimensional infinite square well,
Its normalized eigenfunction are;
Where, If a perturbation is applied, then the correction to the energy of the first excited state to order is – (June – 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 51
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2014
Question
The scattering amplitude for the potential ; where and are positive constants, is given, in the Born approximation, by (in the following and ) – (June – 2014)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 52
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2014
Question
An electron is in the ground state of a hydrogen atom. The probability that it is within the Bohr radius is approximately equal to – (June – 2014)
Choices
Choice (4)  Response  

a.  0.32 

b.  0.90 

c.  0.60 

d.  0.16 

Question number: 53
» Quantum Mechanics » Pauli Exclusion Principle
Appeared in Year: 2013
Question
Consider two different systems each with three identical non – interacting particles. Both have single particle states with energies, and . One system is populated by spin fermions and the other by bosons. What is the value of , where and are the ground state energies of the fermionic and bosonic system respectively? (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

