Question
In a hydrogen like atom electron make transition from an energy level with quantum number $n$ to another with quantum number $(n- 1)$. If $n > > 1$, the frequency ofradiation emitted is proportional to
✓
Answer
$\frac{v}{x}=\frac{1}{\lambda}=R Z^{2}\left[\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right]$
$[\because n>>1]$
$v=R C Z^{2}\left[\frac{1}{(n-1)^{2}}-\frac{1}{n^{2}}\right]$
$\operatorname{RCZ}^{2}\left[\frac{2 n-1}{n^{2}(n-1)^{2}}\right]$
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