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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 of radiation emitted is proportional to:

1. 1/n
2. 1/n²
3. 1/n^(3/2)
4. 1/n³

Correct answer: 1/n³

Solution

E_n = -RhcZ^2/n^2, so for n -> (n-1) the energy gap ~ 2Rhc/n^3 for large n. Hence the emitted frequency is proportional to 1/n^3.

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