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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EBμ≈EBe

EBμ≈200EBe

EBμ≈100EBe

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

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