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

Options

A. `n_1 = 4, n_2 = 2`
B. `n_1 = 8 , n_2 = 2`
C. `n_1 = 8 , n_1 = 2`
D. `n_1 = 6 , n_2 = 2`

Answer

A

Explanation

`T^(2) alpha r^3 " or " r alpha n^2`
`:. T^2 alpha n^(6) " or " T alpha n^3`
`T_1/T_2 = (n_1/n_2)^3`
`= 8 = (n_1/n_2)^3 " or " n_1/n_2 =2`