Question: 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

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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