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

Appeared in Year: 2013

MCQ▾

Question

A particle moves in a potentialEquation . Which component (s) of the angular momentum is/are constant (s) of motion? (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 2

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

Appeared in Year: 2014

MCQ▾

Question

Consider the normalized wavefunctionEquation ; where Equation is a simultaneous normalized eigenfunction of the angular momentum operators Equation andEquation , with eigenvalue Equation and Equation respectively. If Equation is an eigenfunction of the operator Equation with eigenvalue Equation then - (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

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

Appeared in Year: 2011

MCQ▾

Question

The energy of the first excited quantum state of a particle in the two dimensional potential Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 4

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

Appeared in Year: 2011

MCQ▾

Question

Consider a particle in a one dimensional potential that satisfiesEquation . Let Equation and Equation denote the ground and the first excited states, respectively, and let Equation be a normalized state with Equation and Equation being real constants. The expectation value Equation of the position operator Equation in the state Equation is given by, - (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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