First slide

Photoelectric effect and study of photoelectric effect

Question

The maximum velocity of electrons emitted from a metal surface is v. What would be the maximum velocity if the frequency of incident light is increased by a factor of 4?

Moderate

A

2v
B

>2v
C

<2v
D

between 2v and 4v

Solution

$\begin{aligned} \begin{array}{l} \frac{1}{2} m v^{2} = h v - ϕ_{0} \\ \frac{1}{2} m v^{' 2} = 4 h v - ϕ_{0} \\ \frac{v^{' 2}}{v^{2}} = \frac{4 h v - ϕ_{0}}{h v - ϕ_{0}} \\ or \frac{v^{' 2}}{v^{2}} = \frac{4 [h v - ϕ] + 3 ϕ_{0}}{h v - ϕ_{0}} \\ Clearly, v^{'} > 2 v \end{array} \end{aligned}$

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