Quantum Mechanics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 46  49 of 80
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Question number: 46
» Quantum Mechanics » Variational Method
Appeared in Year: 2013
Question
A particle is in the ground state of an infinite square well potential given by,
The probability to find the particle in the interval between and is – (Dec 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» Quantum Mechanics » Timeindependent Perturbation Theory and Applications
Appeared in Year: 2013
Question
A perturbation is added to the Hydrogen atom potential. The shift in the energy level of 2P state, when the effects of spin are neglected up to second order in , is – (Dec. 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  0 

Question number: 48
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2013
Question
If is the eigenfunction of a one – dimensional Hamiltonian with eigenvalue , the potential (in units where ) is – (Dec – 2013)
Choices
Choice (4)  Response  

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b. 


c. 


d. 


Question number: 49
» Quantum Mechanics » Eigenvalue Problems
Appeared in Year: 2013
Question
A particle is prepared in a simultaneous eigenstate of and . If and are respectively the eigenvalues of and , then the expectation value of the particle in this state satisfies – (December 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

