Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 58  60 of 80
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Question number: 58
» Quantum Mechanics » Elementary Theory of Scattering » Born Approximation
Appeared in Year: 2012
Question
A free particle describe by a plane wave and moving in the positive z – direction undergoes scattering by a potential,
If is changed to , keeping R fixed, then the differential scattering cross section, in the Born approximation, (June)
Choices
Choice (4)  Response  

a.  Increases to twice the original value 

b.  Decreases to one fourth the original value 

c.  Increases to four times the original value 

d.  Decreases to half the original value 

Question number: 59
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2012
Question
The perturbation, acts on a particle of mass confined in an infinite square well potential
The first order correction to the ground – state energy of the particle is –
(December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 60
» Quantum Mechanics » WaveFunction in Coordinate Representations
Appeared in Year: 2012
Question
The energy in the ground state and first excited state of a particle of mass in a potential are and , respectively, (in units in which ). If the corresponding wave functions are related by , then the ground state eigen function is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

