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In a hydrogen like atom an 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 -

1. 1/n^(3/2)
2. 1/n³
3. 1/n
4. 1/n²

Correct answer: 1/n³

Solution

The frequency of radiation emitted during a transition between energy levels in a hydrogen-like atom is determined by the difference in energy levels, which is inversely proportional to the square of the principal quantum number. For large n, this relationship simplifies to being proportional to 1/n³.

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