Problem #1 (e 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: 3+1/3+3 ħ²n² E = ²/443 (½- m This formula gives an absurd answer when 3 = -3; why? B+1
Problem #1 (e 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: 3+1/3+3 ħ²n² E = ²/443 (½- m This formula gives an absurd answer when 3 = -3; why? B+1
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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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