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 72P
To determine

To find

a) Electric potential

b) Electric potential energy of the atom (eV)

c) Kinetic energy of electron (eV)

d) Energy required to ionize the atom (eV)

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In a simple model of a hydrogen atom, the single electron orbits the single proton (the nucleus) in a circular path. Calculate (a) the electric potential set up by the proton at the orbital radius of 52.9 pm, (b) the electric potential energy of the atom, and (c) the kinetic energy of the electron. (d) How much energy is required to ionize the atom (that is, to remove the electron to an infinite distance with no kinetic energy)? Give the energies in electron-volts.
The radius of a hydrogen nucleus is believed to be about 1.2 x 10-15 m. (a) If an electron rotates around the nucleus at that radius, what would be its speed according to the planetary model? (b) What would be the total mechanical energy? (c) Are these reasonable?
What is the mechanical potential energy of an electron at the center of a gold nucleus 197 79Au given that the nucleus is a uniformly charged sphere of radius R = 1.2 A^(1/3) fm.

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Fundamentals of Physics Extended

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