College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28, Problem 52AP

(a)

To determine

The kinetic energy of the electron.

(b)

To determine

The comparison between the magnitude of the ground state energy of hydrogen atom and the kinetic energy.

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An electron has a de Broglie wavelength equal to the diameter of a hydrogen atom in its ground state. (a) What is the kinetic energy of the electron? (b) How does this energy compare with the magnitude of the ground - state energy of the hydrogen atom?
An electron has a de Broglie wavelength equal to the diameter of a hydrogen atom in its ground state. (a) What is the kinetic energy of the electron? (The Bohr radius is 0.0529 nm.) eV(b) How does this energy compare with the magnitude of the ground-state energy of the hydrogen atom? many orders of magnitude smallerabout 10 times as small    about the sameabout 10 times as largemany orders of magnitude larger
The nucleus of an atom is on the order of 10-14 m in diameter. For an electron to be confined to a nucleus, its de Broglie wavelength would have to be on this order of magnitude or smaller. (a) What would be the kinetic energy of an electron confined to this region? (b) Make an order-of-magnitude estimate of the electric potential energy of a system of an electron inside an atomic nucleus. (c) Would you expect to find an electron in a nucleus? Explain.
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