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Q.

The radius of the first permitted Bohr orbit, for the electron, in a hydrogen atom equals0.51A0 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

25.6×1013m,2.8eV

b

0.53×1013m,3.6eV

c

2.56×1013m,13.6eV

d

2.56×1013m,2.8keV

answer is D.

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Detailed Solution

rn1mrμ=0.512072.56×1013mEme(E)μ=13.6×207 =2.8keV

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