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The given diagram indicates the energy l...

The given diagram indicates the energy levels of certain atoms. When ihe system moves from 2E level to F. a photon of wave length `lambda` is emitted. Calculate the wave-length of photon produced during its transition from `(4E)/3` level to E in terms of `lambda`

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The correct Answer is:
3
From the given data, when the system moves from 2E level to E level, we have
2E - E `=(hc)/lambda`
or `E = (hc)/lambda`
When the system moves from `(4E)/3` level to E level, we have
`4/3 E-E = (hc)/lambda_(1)` [`lambda_(1)` is the wave length of photon emitted]
or `1/(3 lambda) = 1/(lambda_(1))`
or `lambda_(1)/lambda =3`
or `lambda_(1) = 3 lambda`
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