An electron in a hydrogen atom makes a transition `n_1 to n_2` where `n_1` and `n_2` are principle quantum numbers of the states . Assume the Bohr's model to be valid , the frequency of revolution in initial state is eight times that of final state. The ratio n`n_1/n_2` is

Explanation

Since, T `prop n^(3)`
`therefore (T_(1))/(T_(2)) = (n_(1)^(3))/(n_(2)^(3)) " As" T_(1) = 8T_(2), ((n_(1))/(n_(2)))^(3) = 8 " (or)" n_(2) = 2n_(2)`.
Thus the possible values of `n_(1) and n_(2)` are
`n_(1) = 2, n_(2) = 1 , n_(1) = 4 , n_(2) = 2 , n_(1) = 6, n_(2) = 3 `, and so on .....