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. `1/n`
B. `1/n^(2)`
C. `(1)/(n^(3)//2)`
D. `(1)/(n^(3))`

Answer

D

Explanation

As, `DeltaE=hv`
`implies v=(DeltaE)/(h)=K[(1)/((n-1)^(3))-(1)/(n^(2))]`
`=(K2n)/(n^(2)(n-1)^(2))=(2K)/(n^(3))prop(1)/(n^(3))`