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

Edit

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.

Edit

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.

Edit

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.

Edit

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

Edit