Suppose that the interaction between an electron and proton were of the form F = Kr, where

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Suppose that the interaction between an electron and proton were of the form F = –Kr, where K is a constant, rather than 1/r2. If the stationary state orbits are again limited by the angular momentum condition L = nh, what are then the radii of these orbits? Show that for this case the kinetic energies of the stationary states are given by E = nhω, where ω is the angular frequency of the electron about the proton.

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