Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 39, Problem 4Q
To determine

To find:

a) The wave function  ψ for a ground-state electron trapped in one-dimensional infinite potential well (a)

b) The wave function  ψ for a ground-state electron trapped in one-dimensional infinite potential  well (b)

c) The wave function  ψ for a ground-state electron trapped in one-dimensional infinite potential well (c)

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4 Figure 39-25 shows three infinite potential wells, each on an x axis. Without written calculation, determine the wave function for a ground-state electron trapped in each well. U. 2L O L/2 -L/2 +L/2 (a) (b) (c) Figure 39-25 Question 4.
*24 Figure 39-30 shows a two-dimen- sional, infinite-potential well lying in an xy plane that contains an electron. We probe for the electron along a line that bisects L, and find three points at which the detection probability is maximum. Figure 39-30 Problem 24. Those points are separated by 2.00 nm. Then we probe along a line that bisects L, and find five points at which the detection probability is maximum. Those points are sep- arated by 3.00 nm. What is the energy of the electron?
.8 O An electron is trapped in a one-dimensional infinite well and is in its first excited state. Figure 39-27 indicates the five longest wavelengths of light that the electron could absorb in transitions from this initial state via a single photon absorption: A, = 80.78 nm, A, = 33.66 nm, A = 19.23 nm, A, = 12.62 nm, and A, = 8.98 nm. What is the width of the potential well? %3D %3! 2 (nm) Figure 39-27 Problem 8.

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Fundamentals of Physics Extended

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