Derive the frequency of this motion

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The electric field E at distance r from the center of a uniformly charged sphere of radius R and total charge Q is E= Qr/4ΠεoR^3 when r<R. Such sphere corresponds to the Thomson model of the atom. Show that an electron placed in the center of the sphere will executes simple harmonic motion if it is displaced from the center.

a. Derive the frequency of this motion.

b. Assuming that the spectrum of Hydrogen is produced by the oscillating electron moving in simple harmonic motion, Compare the formula derive in part(a) with the actual hydrogen spectrum.

Reference no: EM13963792

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