m, A particle of mass 2.00 × 10-10 kg is confined in a hollow cubical three-dimensional box, each edge of which has a length, 2.00 × 10-10 and for which the potential energy function is zero inside, and infinite outside, the box. The total energy of the particle is 2.47 × 10-37 J. Find (b) (i) If the same particle is instead confined in one dimension between infinitely high potential barriers, with the same energy and in the same size region as above, find the single quantum number that characterises the wavefunction of the particle when it occupies this energy level.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 52P
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m,
A particle of mass 2.00 × 10-10 kg is confined in a hollow cubical
three-dimensional box, each edge of which has a length, 2.00 × 10-10
and for which the potential energy function is zero inside, and infinite
outside, the box. The total energy of the particle is 2.47 × 10-37 J. Find
Transcribed Image Text:m, A particle of mass 2.00 × 10-10 kg is confined in a hollow cubical three-dimensional box, each edge of which has a length, 2.00 × 10-10 and for which the potential energy function is zero inside, and infinite outside, the box. The total energy of the particle is 2.47 × 10-37 J. Find
(b) (i)
If the same particle is instead confined in one dimension between
infinitely high potential barriers, with the same energy and in the
same size region as above, find the single quantum number that
characterises the wavefunction of the particle when it occupies this
energy level.
Transcribed Image Text:(b) (i) If the same particle is instead confined in one dimension between infinitely high potential barriers, with the same energy and in the same size region as above, find the single quantum number that characterises the wavefunction of the particle when it occupies this energy level.
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