Question

Using Bohr theory calculate the frequency and wavelenght of a photon emitted during transition from n=5 to n=2 state in hydrogen atom

Answer 1

According to Bohr's theory ,
$\overline{v}=R\left(\frac{1}{n^2}-\frac{1}{{n_1}^2}\right)$
n = 2 , n₁ = 5
$$\begin{gathered} \overline{v}=109677\left(\frac{1}{2^2}-\frac{1}{5^2}\right) \\ \overline{v}=23032.17c{m}^{-1} \\ \lambda =\frac{1}{\overline{v}}=\frac{1}{23032.17}=4.3417\times {10}^{-5}cm=434.1nm \end{gathered}$$

$\lambda$ = 434.1 nm