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Oscillations in Thomson's atomic model.

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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=kQr/R^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 executes simple harmonic motion.

Derive the frequency of this motion.

Compare the frequency of this motion to real hydrogen spectrum.

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The oscillation in Thomson's atomic model is determined. The expert compares the frequency of the motion to real hydrogen spectrum.

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Hint:
Use the fact that the electric ...

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