Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 31P

(a)

To determine

The smallest radius for the muon in a hydrogen atom.

(b)

To determine

The binding energy of the muon in the ground state

(c)

To determine

The series limit of the wavelength for the first three series.

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A muonic atom consists of a muon (mass m = 106 MeV/c2 and charge q = -e) in place of an electron. For the muon in a hydrogen atom, what is (a) the smallest radius and (b) the binding energy of the muon in the ground state? (c) Calculate the series limit of the wavelength for the fi rst three series.
It is possible that a muon be captured by a proton to form a muonic atom. A muon is identic to an electron, except when your mass, which is m = 105.7 MeV/c^2. What ia the smallest wave length for a Lyman series for this atom? Give your answer in pm.
A certain helium ion (Z = 2) contains a single excited electron in the n = 3 quantum state. When this excited electron decays back to its ground state, what is the energy of the emitted photon? Enter the numerical value in units of eV.
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