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Q.

A muonic hydrogen atom is a hydrogen atom with electron replaced by a muon whose mass is 212 times the mass of an electron then

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a

Bohr radius of the muonic atom is 250 fm

b

Ground state energy of muonic atom is 2883 eV

c

angular momentum in ground state is h2π

d

angular momentum in ground state is 106hπ

answer is A, B, C.

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Detailed Solution

Since Bohr's radius is given by

r=n2h2ε0πme2Z r1m rr0=memμ r=r0212=0.53A212=250fm

Since Fm E=E0mμme E=13.6 eV212 E=2883 eV

Angular momentum is given as

L=h2π

For ground state n=1 so we have 

L=h2π

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