In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n – 1). If n >>1, the frequency of radiation emitted is proportional to :

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Question

$\frac{1}{n^{3 / 2}}$

$\frac{1}{n^{3}}$

$\frac{1}{n^{2}}$

$\frac{1}{n}$

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$\frac{1}{λ} = R (\frac{1}{{(n - 1)}^{2}} - \frac{1}{n^{2}})$

$ν = RC (\frac{n^{2} - {(n - 1)}^{2}}{{(n - 1)}^{2} n^{2}}) = \frac{2 n - 1}{{(n - 1)}^{2} n^{2}} = \frac{2 n}{n^{4}} \propto \frac{1}{n^{3}}$

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