Quantum Mechanics [CSIR (Council of Scientific & Industrial Research) Physical Sciences]: Questions 54 - 58 of 116
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Question 54
Appeared in Year: 2013
Question MCQ▾
The bound on the ground state energy of the Hamiltonian with an attractive delta – function potential, namely
Using the variational principle with the trial wavefunction is – (June)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 55
Appeared in Year: 2013
Question MCQ▾
If denotes the eigenfunction of the Hamiltonian with a potential , then the expectation value of the operator and in the state is – (June – 2013)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 56
Appeared in Year: 2013
Question MCQ▾
The expectation value of the x – component of the orbital angular momentum in the state,
(Where are the eigenfunction in usual notation) , is – (December -2013)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | 0 |
Question 57
Appeared in Year: 2012
Question MCQ▾
What would be the ground state energy of the Hamiltonian – If variational principle is used to estimate it with the trial wavefunction with b, as the variational parameter?
(December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 58
Appeared in Year: 2012
Question MCQ▾
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. | Decreases to half the original value | |
b. | Decreases to one fourth the original value | |
c. | Increases to four times the original value | |
d. | Increases to twice the original value |