Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 21 - 25 of 251

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Question 21

Appeared in Year: 2012

Question MCQ▾

The component along an arbitrary direction , with direction cosines , of the spin of spin particle is measured. The result is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

0

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Question 22

Appeared in Year: 2014

Question MCQ▾

Suppose Hamiltonian of a conservative system in classical mechanics is ; where is a constant and and are the position and momentum respectively. The corresponding Hamiltonian in quantum mechanics, in the coordinate representation, is – (December)

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 23

Appeared in Year: 2014

Question MCQ▾

A particle of mass m in three dimensions is in the potential . Its ground state energy is - (June)

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 24

Appeared in Year: 2012

Question MCQ▾

A particle of mass m is in a cubic box of size . The potential inside the box is zero and infinite outside. If the particle is in an eigenstate of energy its wavelength is – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

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Question 25

Appeared in Year: 2012

Question MCQ▾

Let denote the eigenfunctions of a Hamiltonian for a spherically symmetric potential . The wave function is an eigenfunction only of – (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Edit