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Assuming photoemission to take place, the factor by which the maximum velocity of the emitted photoelectrons changes when the wavelength of the incident radiation is increased to four times. is

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answer is D.

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Detailed Solution

$\begin{array}{l} \frac{hc}{λ} = W_{o} + \frac{1}{2} {mv}_{\max}^{2} . \\ Assuming W_{o} to be negligible in comparison to \frac{hc}{λ} \\ i . e ., v_{\max}^{2} \propto \frac{1}{λ} \Rightarrow v_{\max} \propto \frac{1}{\sqrt{λ}} . \end{array}$

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