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 gtgt1` , the frequency of radiation emitted is proportional to :

Options

A. `v prop (1)/(n)`
B. `v prop (1)/(n^(2))`
C. `v prop (1)/(n^(3))`
D. `v prop (1)/(n^(4))`

Answer

C

Explanation

`v = (4 pi ^(2) k^(2) me^(4))/(n^(3) h^(3))`
`v prop (1)/(n^(3))`