A photon of 300 nm is absorbed by a gas and then, it re-emits two photons and attains the same initial energy level. One re-emitted photon has wavelength 500 nm. Calculate the wavelength of other photon remitted out :

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450 nm

800 nm

200 nm

750 nm

answer is D.

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Detailed Solution

$\begin{array}{l} \frac{hc}{λ} = \frac{hc}{λ_{1}} + \frac{hc}{λ_{2}} \\ \frac{1}{300} = \frac{1}{500} + \frac{1}{λ_{2}} \\ λ_{2} = \frac{300 \times 500}{200} = 750 \end{array}$

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