First slide

Electromagnetic radiation - Dual nature of radiation and matter

Question

In a photoelectric effect, electrons are emitted

Easy

A

with a maximum velocity proportional to the frequency of the incident radiation
B

at a rate that is independent of the intensity of the incident radiation
C

only if the frequency of the incident radiation is above a certain threshold value
D

only if the temperature of the emitter is high

Solution

$\begin{array}{l} {KE}_{max} = h v - ϕ \\ \Rightarrow \frac{1}{2} m v_{max}^{2} = h v - ϕ \Rightarrow v_{max} = \sqrt{\frac{2 (h v - ϕ)}{m}} \end{array}$
Hence, (a) is incorrect.
Since n = (IA/hv), therefore rate of emission of electrons is proportional to the intensity (I).
${KE}_{max} = h v - ϕ$
Hence, (c) is true.

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