Question

Give equations to calculate the following-

Energy of the n^th orbit of hydrogen atom.

Answer 1

1. Bohr's atomic model:

(i) It states that the electrons revolve around the nucleus in specified circular paths (just like planets revolve around the sun ) and these paths are referred to as orbits or shells or energy levels.

(ii) These orbits are associated with a fixed amount of energy.

(iii) As long as the electron remains in a particular orbit, its energy remains constant.

2. Bohr calculated the energy of the n^th energy of the n^th orbit of the hydrogen atom (Z=1) and derived the formula as-

${\mathrm{E}}_{\mathrm{n}}=-\frac{2{\mathrm{\pi }}^2{\mathrm{me}}^4{\mathrm{Z}}^2}{{\mathrm{n}}^2{\mathrm{h}}^2{\left(4{\mathrm{\pi \epsilon }}_0\right)}^2}$

where h is the Plank's constant.

m is the mass of the electron.

e is the charge of the electron.