Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 40, Problem 20P

(a)

To determine

To sketch the wave function for the particle.

(b)

To determine

The wavelength of the wave that penetrates the wall.

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Suppose a quantum particle is in its ground state in a box that has infinitely high walls (as shown). Now suppose the left-hand wall is suddenly lowered to a finite height and width. (a) Qualitatively sketch the wave function for the particle a short time later. (b) If the box has a length L, what is the wavelength of the wave that penetrates the lefthand wall?
. An electron in a long organic molecule used in a dye laser behave approximately like a particle in a box with width 4.18 nm. (a) What is the λ of the proton emitted when the electron undergoes a transition from the first excited level to the ground level.                                                                                                                         (b) What is the λ of the proton emitted when electron undergoes a transition from the second excited level to the first excited level?
An electron in an infinite potential well (a box) makes a transition from the n = 3 level to the ground state and, in doing so, emits a photon with a wavelength of 20.9 nm. (a) How wide is this well? (b) What wavelength of the photon would it take to excite the electron from its original level to the next higher level?
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