Essential University Physics: Volume 2 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 56P
To determine

The ratio of the ground state energy of a proton confined to 1fm diameter atomic nucleus and that of an electron confined to a 0.1nm diameter atom for convincing a friend that nuclear energy represents a much more concentrated energy source than fossil fuels.

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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?
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Please give a detailed explanation. The answer is 2.
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