The muon has the same charge as an electron but a mass of that is 200 times greater. The negatively charged muon can bind to a proton to form a new type of hydrogenatom. How does the binding energy EBμ of the muon in the ground state of a muonic hydrogen atom compare with the binding energy EBe of an electron in the ground state of a conventional hydrogen atom?
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a
EBμ≈EBe
b
EBμ≈200EBe
c
EBμ≈100EBe
d
EBμ≈EBe/200
answer is B.
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Detailed Solution
For a particle of mass m and charge e in ground state, energy is given byE=−1ϵ02mz2e48n2h2⇒E∝mSince, mmuon=200melectron⇒EBμ≈200EBe