Quantum Mechanics-Particle in a Box (GATE (Graduate Aptitude Test in Engineering) Physics): Questions 1 - 3 of 5

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Question number: 1

» Quantum Mechanics » Particle in a Box

Appeared in Year: 2015

MCQ▾

Question

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

A particle is in box

A Particle Is in Box

In figure a particle is confined in a box pf length L is shown.

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

» Quantum Mechanics » Particle in a Box

Appeared in Year: 2010

MCQ▾

Question

A particle of mass Equation is confined in the potential Equation ,

Let the wavefunction of the particle be given by Equation , where Equation and Equation 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

Potential v/s Position Graph

In figure Graph of potential verses position is shown.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 3

» Quantum Mechanics » Particle in a Box

Appeared in Year: 2010

MCQ▾

Question

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

Potential of particle in infinite potential well

Potential of Particle in Infinite Potential Well

In figure a potential of particle in infinite potential well is shown.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation depends on the sign of Equation

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