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?
The treatment of electrons in atoms must be a quantum treatment, but classical physics still works for baseballs. Where is the dividing line? Suppose we consider a spherical virus, with a diameter of 30 nm, constrained to exist in a long, narrow cell of length 1.0 μm. If we treat the virus as a particle in a box, what is the lowest energy level? Is a quantum treatment necessary for the motion of the virus?
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