Question

The following diagram indicates the energy levels of a certain atom when the system moves from `4E` level to `E`. A photon of wavelength `lambda_(1)` is emitted. The wavelength of photon produced during its transition from `(7)/(3)E` level to `E` is `lambda_(2)`. the ratio `(lambda_(1))/(lambda_(2))` will be

A. `(9)/(4)`
B. `(4)/(9)`
C. `(3)/(2)`
D. `(7)/(3)`

Answer 1

Correct Answer - B
Transition from `4E` to `E`
`(4E - E) = (hc)/(lambda_(1)) rArr lambda_(1) = (hc)/(3E) …..(i)`
Transition from `(7)/(3)E` to `E`
`((7)/(3)E - E) = (hc)/(lambda_(2)) rArr lambda_(2) = (3hc)/(4E) …..(i)`
From equations (i) and (ii) `(lambda_(1))/(lambda_(2)) = (4)/(9)`