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Problem 5: A negatively charged muon acts just like a heavy electron, but with a much larger mass. It can bind to a proton to form an atom. The muon mass my, is 209 me. This is large enough to make the proton itself move as the muon goes round it, but we will ignore that effect in answering this question. (a) What is the radius of this atom in its lowest energy state in the Bohr model? (b) What is the binding energy of this atom?

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Answer #1

Part-a

The radius of the lowest energy state in the Bohr model is

r = rac{a_o}{209}

by plugging all the values we get

10 0.529× 10- r = 209

which gives us

| r 2.53x 10-137

Part-b

The binding energy of the atom is

Е (209) (13.6eu)

which gives us

E--2842.4eV

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