Question

The kinetic energy of photoelectrons depends on

• A. The sum of threshold frequency and frequency of incident light
• B. The ratio of threshold frequency and frequency of incident light
• C. The difference of threshold frequency and frequency of incident light
• D. The intensity of incident light

Answer 1

Answer: (C)

The difference of threshold frequency and frequency of incident light

The photoelectric effect related with the incident light frequency $\left(\nu \right)$ by the following equation:
$E_k=e{V}_s=h\nu -\varphi$,
where, $\varphi =h{\nu }_0$ is the work function of the material and $E_k$ is the kinetic energy of the photo electron.
So, $E_k=h\nu -h{\nu }_0$, ${\nu }_0$ is the threshold frequency for the metal.
or, $E_k=h(\nu -{\nu }_0)$.
So the kinetic energy of photoelectrons depends on the difference of threshold frequency and frequency of incident light.

So, the answer is option (C).