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The muon has the same charge as an electron but a mass of that is 207 times greater. The negatively charged muon can bind to proton to form a new type of hydrogen atom. How does the binding energy Eaμ 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

EB=-13.6mZ2n2The mass of mesic atom is 200meEB∝mEBμEBe=mmme⇒EBmEBe=200memeEBm=200EBeTherefore emitted radiation falls in X ray region

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The muon has the same charge as an electron but a mass of that is 207 times greater. The negatively charged muon can bind to proton to form a new type of hydrogen atom. How does the binding energy Eaμ 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?