Quantum Mechanics-Particle in a Box [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 4 of 11

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Question 1

Appeared in Year: 2015

Question MCQ▾

A particle is confined in a box of length as shown below,

A Particle is in Box

If the potential is treated as a perturbation, including the first order correction, the ground state energy is –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 2

Appeared in Year: 2010

Question MCQ▾

A particle of mass is confined in the potential ,

Let the wavefunction of the particle be given by , where and are the eigenfunctions of the ground state and the first excited state respectively. The expectation value of the energy is –

Potential V/S Position Graph

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Appeared in Year: 2010

Question MCQ▾

A particle of mass is confined in an infinite potential well , it is subjected to a perturbing potential within the well. Let and be the corrections to the ground state energy in the first and second order in ,

Potential of Particle in Infinite Potential Well

Choices

Choice (4)Response

a.

depends on the sign of

b.

c.

d.

Edit

Question 4

Appeared in Year: 2009

Question MCQ▾

The de Broglie wavelength of particles of mass with average momentum at a temperature in three dimensions is given by –

Choices

Choice (4)Response

a.

b.

c.

d.

Edit