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The following diagram indicates the energy levels of a certain atom when the system moves from 2E level to E, a photon of wavelength $λ$ is emitted. The wavelength of photon produced during its transition from $\frac{4 E}{3}$ level to E is

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$3 λ / 4$

$3 λ$

$4 λ / 3$

$λ / 3$

answer is D.

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Detailed Solution

$2 E - E = \frac{hc}{λ} \Rightarrow E = \frac{hc}{λ} \frac{4 E}{3} - E = \frac{hc}{λ'} \Rightarrow \frac{E}{3} = \frac{hc}{λ'} ∴ \frac{λ'}{λ} = 3 \Rightarrow λ' = 3 λ$

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