• # question_answer 93) The energy of second Bohr orbit of the hydrogen atom is $-328\,\text{kJ}\,\text{mo}{{\text{l}}^{-}};$ hence the energy of fourth Bohr orbit would be A) $~-41\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}$ B)  $-1312\text{ kJ mo}{{\text{l}}^{-1}}$ C)  $-164\text{ kJ mo}{{\text{l}}^{-1}}$ D) $~-82\text{ kJ mo}{{\text{l}}^{-1}}$

The energy of second Bohr orbit of hydrogen atom $({{E}_{2}})$ is $-328\text{ kJ mo}{{\text{l}}^{-1}}$ because ${{E}_{2}}=-\frac{1312}{{{2}^{2}}}\,\text{kJ}\,\text{mo}{{\text{l}}^{-}}$ $\therefore$ ${{E}_{n}}=-\frac{1312}{{{n}^{2}}}\,\text{kJ}\,\text{mo}{{\text{l}}^{-}}$ If $n=4$ $\therefore$ ${{E}_{4}}=-\frac{1312}{{{4}^{2}}}\text{kJ}\,\text{mo}{{\text{l}}^{-1}}$ $=-82\,\text{kJ}\,\text{mo}{{\text{l}}^{-1}}$