Question

In a hypothetical H-atom the mass of electron & its charge is double of what we consider calculate the total energy (in eV) of electron in the $1^{st}$ orbit of such a hypothetical H-atom?

Answer 1

$E_n=-\frac{2{\pi }^{2}m{e}^4}{n^2{h}^2}$

if mass and charge doubled

$E_n=-\frac{2{\pi }^2\left(2m\right)(2e{)}^4}{n^2{h}^2}$

$E_n=-\frac{\left(32\right)2{\pi }^{2}m{e}^4}{n^2{h}^2}$

$E_1=-32\times 13.6eV=435.2eV$