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Problem #1 (₂ From Scherrer's textbook Problem 1.16: Assume that the attractive force between the electron and the proton in the hydrogen atom follows an arbitrary power law of the form F = kr for 3-1 and k a constant. Use Bohr's quantization rule for the angular momentum to show that the energy levels in the hydrogen atom are given by: En = ²/43 ħ²n²1 m 8+1/3+3 1 ( 12 + 8 + 1) This formula gives an absurd answer when 3= -3; why?
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Transcribed Image Text:Problem #1 (₂ From Scherrer's textbook Problem 1.16: Assume that the attractive force between the electron and the proton in the hydrogen atom follows an arbitrary power law of the form F = kr for 3-1 and k a constant. Use Bohr's quantization rule for the angular momentum to show that the energy levels in the hydrogen atom are given by: En = ²/43 ħ²n²1 m 8+1/3+3 1 ( 12 + 8 + 1) This formula gives an absurd answer when 3= -3; why?
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