# Quantum Mechanics-Motion in Central Potential (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 6

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## Question number: 1

» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra

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Appeared in Year: 2013

MCQ▾

### Question

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 number: 2

» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra

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Appeared in Year: 2014

MCQ▾

### Question

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 number: 3

» Quantum Mechanics » Motion in Central Potential » Addition of Angular Momenta

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Appeared in Year: 2011

MCQ▾

### Question

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 number: 4

» Quantum Mechanics » Motion in Central Potential » Angular Momentum Algebra

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Appeared in Year: 2011

MCQ▾

### Question

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.

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