In a hydrogen atom the electron makes a transition from n   +   1 th level to the n th level. If n…

In a hydrogen atom the electron makes a transition from n + 1th  level to the nth level. If n>>1, the frequency of radiation emitted is proportional to :
  1. 1n
  2. 1n3
  3. 1n2
  4. 1n4

Solution

En=-Rhcn2
En+1=-Rhc(n+1)2
ΔE=En+1-En
hv=Rhc1n2-1(n+1)2
v=R.cn+12-n2n2n+12
v=R.c1+2nn2n+12

n >> 1 v=R.c2nn2×n2=2RCn3

v1n3

Asked in: JEE Main 2020 (02 Sep Shift 2)

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