A) (A), (B), (D)
B) (B), (D)
C) (C), (D)
D) (A), (C), (D)
Correct Answer: A
Solution :
(A) Radius of muon \[\text{=}\frac{\text{Radius of hydrogen}}{200}\] \[\text{Radius of H atom=r=}\frac{{{\in }_{o}}{{n}^{2}}{{h}^{2}}}{\pi m{{e}^{2}}}\] \[\text{Radius of muon =}{{\text{r}}_{\mu }}=\frac{{{\in }_{o}}{{n}^{2}}{{h}^{2}}}{\pi \times 200m{{e}^{2}}}\] \[{{r}_{\mu }}=\frac{r}{200}\] (B) Velocity relation given is wrong (C) Ionization energy in \[{{e}^{-}}H\] atom \[E=\frac{+m{{e}^{4}}}{8\in -{{o}^{2}}{{n}^{2}}{{h}^{2}}}\] \[{{E}_{\mu }}=\frac{200m{{e}^{4}}}{8\in _{o}^{2}{{n}^{2}}{{h}^{2}}}=200E\] (D) Momentum of H-atom \[mvr=\frac{nh}{2\pi }\] momentum of muon is \[200\times mvr\] hence (A), (C) & (D) are correct
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