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The following diagram indicates the ener...

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)`

Text Solution

Verified by Experts

The correct Answer is:
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)`
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