Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 49 - 53 of 116
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Question 49
Appeared in Year: 2013
Question MCQ▾
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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 50
Appeared in Year: 2013
Question MCQ▾
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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 51
Appeared in Year: 2014
Question MCQ▾
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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 52
Appeared in Year: 2014
Question MCQ▾
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. | 0.60 | |
c. | 0.16 | |
d. | 0.90 |
Question 53
Appeared in Year: 2013
Question MCQ▾
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 | |
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a. | ||
b. | ||
c. | ||
d. |