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Question

A muonic atom contains a nucleus of charge Ze and a negative muon, μ, moving about it. The μ is an elementary charge with -e and a mass that is approximately 200 times as large as an electron mass.

What is the wavelength of the first line(in A) in the Lyman series for such an atom?

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Solution

For regular electron atom wavelength of first line in Lyman series ,
1λ=RH(114)
λ=1216 A

Since RH=mk2e42h4

Hence for muonic atom, RH=μk2e42h4
λ=1216200=6.5 A

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