Question

the energy required to excite an electron in a hydrogen atom from energy level n=1 to n=3 will be

Answer 1

$$\begin{gathered} \text{Dear Student,} \\ \mathrm{Energy}\mathrm{required}\mathrm{for}\mathrm{the}\mathrm{promotion}\mathrm{of}\mathrm{electron}\mathrm{from}\mathrm{the}\mathrm{ground}\mathrm{state}\mathrm{to}3\mathrm{rd}\mathrm{energy}\mathrm{level}\mathrm{is}\mathrm{given}\mathrm{as}, \\ \mathrm{\Delta E}=2.18\times {10}^{-18}(\frac{1}{{{\mathrm{n}}_1}^2}-\frac{1}{{{\mathrm{n}}_2}^2}) \\ \mathrm{\Delta E}=2.18\times {10}^{-18}(1-\frac{1}{3^2}) \\ \mathrm{\Delta E}=2.18\times {10}^{-18}\times \left(\frac{9-1}{9}\right) \\ \mathrm{\Delta E}=2.18\times {10}^{-18}\times \left(\frac{8}{9}\right) \\ \mathrm{\Delta E}=1.93\times {10}^{-18}\mathrm{J} \\ Regards \end{gathered}$$