In a hydrogen atom the electron makes a transition from n + 1 th level to the n th level. If n > > 1 , the frequency of radiation emitted is proportional to :

Step-by-step solution

E n = - R h c n 2 E n + 1 = - R h c ( n + 1 ) 2 Δ E = E n + 1 - E n h v = Rhc 1 n 2 - 1 ( n + 1 ) 2 v = R . c n + 1 2 - n 2 n 2 n + 1 2 v = R . c 1 + 2 n n 2 n + 1 2 n   > >   1   ⇒ v = R . c 2 n n 2 × n 2 = 2 R C n 3 v ∞ 1 n 3