The figure shows the energy level of certain atom. When the electron de excites from 3E to E, an electromagentic wave of wavelelngth `lambda` is emitted. What is the wavelelngth of the electromagnetic wave emitted when the electron de excites from `(5E)/(3) `to E?
______3E
______5E/3
______E ?

Options

A. `3lambda`
B. `2lambda`
C. `5lambda`
D. `(3lambda)/(5)`

Answer

A

Explanation

As electron de excites from `3ErarrE`
`:. " " " hv=3E-E`
or `" " (hc)/(lambda)=2E" "....(i)`
When electron de excites from `(5E)/(3)rarrE`
`" " (hc)/(lambda')=(5E)/(3)-E=(2E)/(3)" " ....(ii)`
Substituting the value of E frm Eq. (i) in above aequation.
`" " (hc)/(lambda')=(2)/(3)((hc)/(lambda_(2)))rArr lambda '=3lambda`