An electron in a hydrogen atom makes a transition form `n=n_1` to `n=n_2`. The time period of the electron in the initial state is eight times that in the final state. The possible values of `n_1` and `n_2` are

Options

A. `n_(1)=2` And `n_(2)=1`
B. `n_(1)=8` and `n_(2)=2`
C. `n_(1)=8` And `n_(2)=1`
D. `n_(1)=6` and `n_(2)=3`

Explanation

Time period `T_(n)=(2pir_(n))/(V_(n))`
`T prop (n^(2))/(1//n)`
i.e. `T prop n^(3)`
`T_(n_(1))=8T_(n_(2))`
`n_(1)=2n_(2)`
Hence `n_(1)=2n_(2)`
Choice (b) and (c) are wrong.