Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
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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Imagine we model a proton inside an atom’s nucleus as if it were a particle in a one-dimensional box. In this case, the width of the box should be approximately 10 fm. What are the energies of the proton for the ground state, first excited, and second excited state? If the proton dropped from the first excited or second excited to the groud state by emitting a photon, what energy would the photon carry in each case?
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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