Which of the following transitions in a hydrogen atom emits photon of the highest frequency ?

Options

A. n=6 to n=2
B. n=2 to n=6
C. n=2 to n=1
D. n=1 to n=2

Answer

C

Explanation

Photons are not emitted in (b ) and (d). There will be absorption of energy .
For emission of photons , `v=K[(1)/(n_(f^2)) - (1)/(n_(i^2))]`
For `n_f=2 " and " n_i=6, v= K [1/4 - 1/36] = 2/9 K`
For `n_f = 1 " and " n_i = 2 v' = K[1/1^2 - 1/4] = 3/4K`
`therefore v' gt v`
`therefore` The transition is from n=2 to n=1.