Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 65  67 of 80
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Question number: 65
» Quantum Mechanics » Variational Method
Appeared in Year: 2011
Question
The wave function of the particle at time is given by , where and are the normalized eigen states with eigen values and respectively, . The shortest time after which will become orthogonal to is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 66
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2012
Question
Consider an electron in a box of length L with periodic boundary condition . If the electron is in the with energy , what is the correction to its energy, to second order of perturbation theory, when it is subjected to weak periodic potential , where is an integral multiple of the ? (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 67
» Quantum Mechanics » Variational Method
Appeared in Year: 2011
Question
If an electron is in the ground state of the hydrogen atom, the probability that its distance from the proton is more than one Bohr radius is approximately, (June)
Choices
Choice (4)  Response  

a.  0.48 

b.  0.68 

c.  0.28 

d.  0.91 
