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 `

Explanation

`T ^(2) = alpha r^(2) or alpha n ^(2)`
`therefore 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 `