Question:
Imagine that the electron in a hydrogen atom is replaced by a muon $(\mu)$
The mass of muon particle is 207 times that of an electron and charge is
equal to the charge of an electron. The ionization potential of this hydrogen
atom will be :-
Correct Option: , 2
Solution:
(2)
$\mathrm{E} \propto \frac{1}{\mathrm{r}} \quad \mathrm{r} \propto \frac{1}{\mathrm{~m}}$
$\mathrm{E} \propto \mathrm{m}$
Ionization potential $=13.6 \times \frac{\left(\text { Mass }_{\mu}\right) \mathrm{eV}}{\left(\text { Mass }_{e}\right)}$
$=13.6 \times 207 \mathrm{eV}=2815.2 \mathrm{eV}$
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