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The radius of the first permitted Bohr orbit, for the electron, in a hydrogen atom equals 0.51 Å and its ground state energy equals
–13.6 eV. If the electron in the hydrogen atom is replaced by muon (μ–) [charge same as electron and mass 207 me], the first Bohr radius and ground state energy will be,

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a
2.56×10−13m,−13.6eV
b
0.53×10−13m,−3.6eV
c
25.6×10−13m,−2.8eV
d
2.56×10−13m,−2.8keV

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detailed solution

Correct option is D

rn∝1mrμ=0.51207≃2.56×10−13mE∝me(E)μ=−13.6×207 =−2.8keV


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