Quantum Mechanics-Addition of Angular Momenta [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 5 of 7
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Question 1
Appeared in Year: 2013
Question MCQ▾
A particle moves in a potential . Which component (s) of the angular momentum is/are constant (s) of motion? (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 2
Appeared in Year: 2014
Question MCQ▾
Consider the normalized wavefunction ; where is a simultaneous normalized eigenfunction of the angular momentum operators and , with eigenvalue and respectively. If is an eigenfunction of the operator with eigenvalue then - (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 3
Appeared in Year: 2011
Question MCQ▾
The energy of the first excited quantum state of a particle in the two dimensional potential is – (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 4
Appeared in Year: 2011
Question MCQ▾
Consider a particle in a one dimensional potential that satisfies . Let and denote the ground and the first excited states, respectively, and let be a normalized state with and being real constants. The expectation value of the position operator in the state is given by, - (December)
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 5
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 |