Physics - Modern Physics Question with Solution | TestHub

Energy of helium ions.

${\mathrm{E}}_{\mathrm{n}}=-\frac{13.6\mathrm{ }{\mathrm{Z}}^2}{{\mathrm{n}}^2}\mathrm{ }\mathrm{eV}$

In minimum position, $\mathrm{n}=1$.

For $\mathrm{ }{\mathrm{He}}^{+},\mathrm{ }\mathrm{Z}=2$.

$\mathrm{E}=\frac{-13.6\mathrm{ }{\times \mathrm{ }\left(2\right)}^2}{1}\mathrm{ }\mathrm{eV}$

$\mathrm{E}=\text{54.4}\mathrm{ }\mathrm{eV}$