First slide

Photo Electric Effect

Question

The maximum velocity of electrons emitted from a metal surface is V when frequency of light failing on it is $ν$ The maximum velocity when frequency becomes 4 $ν$ is

Moderate

A

2 V
B

>2 V
C

<2 V
D

Between 2 V and 4 V

Solution

$\begin{array}{l} ∵ E = W_{o} + \frac{1}{2} {mv}_{\max}^{2} \Rightarrow v_{\max} = \sqrt{\frac{2 (hf - W_{o})}{m}} \\ If frequency becomes 4 f then \\ V' = \sqrt{\frac{2 (h \times 4 f - W_{o})}{m}} = 2 \sqrt{\frac{2 (hf - \frac{W_{o}}{4})}{m}} \Rightarrow V' > 2 V \end{array}$

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