An old model of a hydrogen atom has the charge +e of the proton uniformly distributed over a sphere of radius a0, with the electron of charge -e and mass m at its center. (a) What would then be the force on the electron if it were displaced from the center by a distance r # a0? (b) What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.16P
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An old model of a hydrogen atom has the charge +e of the proton
uniformly distributed over a sphere of radius a0, with the electron
of charge -e and mass m at its center. (a) What would then be the
force on the electron if it were displaced from the center by a distance
r # a0? (b) What would be the angular frequency of oscillation of the
electron about the center of the atom once the electron was released?

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