Question

What is the equation for the calculation of the energy of the nth orbit of the hydrogen atom derived by Bohr?

Answer 1

$\frac{-2{\mathrm{\pi }}^2{\mathrm{me}}^4{\mathrm{Z}}^2}{{\mathrm{n}}^2{\mathcal{h}}^2}$ is the equation for the calculation of the energy of the nth orbit of the hydrogen atom derived by Bohr.

Where, m=mass of electron=$(9.1\times {10}^{-28}\mathrm{g})$

e= charge of electron$(1.6\times {10}^{-19}\mathrm{C})$

n= number of orbits

$\mathcal{h}$= Plank's constant$(6.625\times {10}^{-34}\mathrm{Js})$

For hydrogen:- atomic number (Z)=1

By applying all these values, the equation for the calculation of the energy of the nth orbit of the hydrogen atom is derived by Bohr is$-13.6\frac{\mathrm{eV}}{{\mathrm{n}}^2}$