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Homework Statement
The Bohr model
The Bohr model correctly predicts the main energy levels not only for atomic hydrogen but also for other "one-electron" atoms where all but one of the atomic electrons has been moved, as as in He+ (one electron removed) or Li++ (two electrons removed). To help you derive an equation for the N energy levels for a system consisting of a nucleus containing Z protons and just one electron answer the following questions. Your answer may use some or all of the following variables: N, Z, hbar, pi, epsilon0, e and m
(a) What are the allowed Bohr radii?
r = Click here to preview your answer.wrong check mark
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(b) What is the allowed kinetic energy? Instead of substituting in your answer for part (a) you may use the variable r.
k = Click here to preview your answer.
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(c) What is the allowed electric potential energy? Instead of substituting in your answer for part (a) you may use the variable r.
Uel = Click here to preview your answer.
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(d) Combining your answers from part (a), (b) and (c) what are the allowed energy levels? our answer should not contain the the variable r (use your result from part (a)).
E = Click here to preview your answer.
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(e) The negative muon (μ-) behaves like a heavy electron, with the same charge as the electron but with a mass 207 times as large as the electron mass. As a moving μ- comes to rest in matter, it tends to knock electrons out of atoms and settle down onto a nucleus to form a "one-muon" atom. Calculate the radius of the smallest Bohr orbit for a μ- bound to a nucleus containing 77 protons and 194 neutrons. Your answer should be numeric and in terms of meters.
r = m
The Attempt at a Solution
Tried all solutions for the first one but no luck !