Fundamentals of Physics, Volume 1, Chapter 1-20
Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 39, Problem 14Q
To determine

To find:

The photon emission energies of an electron, which match with the photon absorption energy of the other four electrons.

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.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.
We can approximate an electron moving in a nanowire (a small, thin wire) as a one-dimensional infi nite square-well potential. Let the wire be 2.0 μm long. The nanowire is cooled to a temperature of 13 K, and we assume the electron’s average kinetic energy is that of gas molecules at this temperature ( 3kT/2). (a) What are the three lowest possible energy levels of the electrons? (b) What is the approximate quantum number of electrons moving in the wire?
*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?

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Fundamentals of Physics, Volume 1, Chapter 1-20

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