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If electron in the atom is replaced by a...

If electron in the atom is replaced by a particle (muon) having the same charge but mass about 200 times as that of the electron to form a muonic atom, how would : (i) the radius and (ii) the ground state energy of this be affected ?

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A muonic atom is the atom in which a negatively charged muon of mass about 200 `m_(e)`, revolves around a proton.
In Bohr.s atomic model,
`rprop(1)/(m)`
So, `(r_(mu))/(r_(e))=(m_(e))/(mmu)`
or `(r_(mu))/(r_(e))=(1)/(200)`
or `r_(mu)=(r_(e))/(200)`
`:.` i.e., the radius reduces to `(1)/(200)` times.
Again, in Bohr.s atomic model
`Epropm`
So, `(E_(mu))/(E_(e))=(m_(mu))/(m_(e))=(200)/(1)`
or `E_(mu)=200E_(e)`
i.e., the ground state energy increases by 200 times.
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