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JEE Main 2013 · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from JEE Main 2013

Q66JEE Main 2013Difficult

Transitions, Photon Emission & Excitation

In a hydrogen like atom electron make transition from an energy level with quantum number $n$ to another with quantum number $(n-1)$ . If $n \gg 1,$ the frequency of radiation emitted is proportional to:

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Answer: (d)

$\nu \propto \frac{1}{(n-1)^2} - \frac{1}{n^2} = \frac{2n-1}{n^2(n-1)^2}$
For $n \gg 1$ : $\nu \propto \frac{2n}{n^4} = \frac{2}{n^3}$
So the answer is (d) $\frac{1}{n^3}$ .

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