When an electro-magnetic radiation is incident on the surface of metal, maximum kinetic energy of photoelectron depends on-

Options

A. Frequency of radiation
B. Intensity of radiation
C. Both the frequency and intensity
D. Polarization of radiation

Explanation

To solve the question regarding the dependence of the maximum kinetic energy of photoelectrons on electromagnetic radiation incident on a metal surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Photoelectric Effect**:
- The photoelectric effect occurs when electromagnetic radiation (light) hits a metal surface, causing the emission of electrons (photoelectrons) from that surface.

2. **Identify the Key Equation**:
- The maximum kinetic energy (KE_max) of the emitted photoelectrons can be expressed by the equation:
\[ KE_{max} = h\nu - \phi \]
where:
- \( KE_{max} \) is the maximum kinetic energy of the photoelectrons,
- \( h \) is Planck's constant,
- \( \nu \) is the frequency of the incident radiation,
- \( \phi \) is the work function of the metal (the minimum energy needed to remove an electron from the metal).

3. **Analyze the Equation**:
- From the equation, we can see that the maximum kinetic energy of the photoelectrons depends on the frequency (\( \nu \)) of the incident electromagnetic radiation and the work function (\( \phi \)) of the metal.
- Specifically, as the frequency increases, the maximum kinetic energy of the emitted photoelectrons also increases, provided that the frequency is above a certain threshold (the threshold frequency).

4. **Consider Other Factors**:
- The intensity of the radiation affects the number of photoelectrons emitted but does not affect their maximum kinetic energy.
- The polarization of the light does not influence the kinetic energy of the emitted photoelectrons.

5. **Conclude the Dependence**:
- Therefore, the maximum kinetic energy of the photoelectrons primarily depends on the frequency of the incident electromagnetic radiation.

6. **Select the Correct Option**:
- Based on the analysis, the correct answer to the question is that the maximum kinetic energy of photoelectrons depends on the frequency of the electromagnetic radiation.

### Final Answer:
The maximum kinetic energy of photoelectrons depends on the frequency of the incident electromagnetic radiation.

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