The electron in a hydrogen atom makes a transition `n_1rarr n_2` where `n_1 and n_2` are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The frequency of orbital motion of the electron in the initial state is `1/27` of that in the final state. The possible values of `n_1 and n_2` are

Options

A. `n_1 = 4, n_2 = 2`
B. `n_1 = 3,n_2 =1`
C. `n_1 = 8, n_2 =1`
D. `n_1 = 6, n_2 = 3`

Answer

B

Explanation

`T alpha n^3`
`T_i/T_f =1/27 = ((n_1)/(n_2))^3 implies n_1/n_2 =1/3`