In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n - 1). If `n gt gt 1,` 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

`DeltaE=hv`
`v=(DeltaE)/(h)=k[(1)/((n-1)^(2))-(1)/(n^(2))]=(2Kn)/(n^(2)(n-1)^(2))~~(2K)/(n^(3))prop(1)/(n^(3))`