First slide

Photo Electric Effect

Question

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

Easy

A

4
B

1/4
C

2
D

1/2

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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