Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 44 - 48 of 116
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Question 44
Appeared in Year: 2014
Question MCQ▾
The ground state eigenfunction for the potential , where is the delta function, is given by , where A and are constants. If a perturbation is applied, the first order correction to the energy of the ground state will be – (June – 2014)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 45
Appeared in Year: 2013
Question MCQ▾
If the operators A and B satisfy the commutation relation , where is identity operator, then – (June)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 46
Appeared in Year: 2013
Question MCQ▾
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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 47
Appeared in Year: 2013
Question MCQ▾
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 48
Appeared in Year: 2013
Question MCQ▾
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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a. | ||
b. | ||
c. | ||
d. |