Which of the following is dependent on the intensity of incident radiation in a photoelectric experiment

Options

A. work function of the surface
B. amount of photoelectric current
C. stopping potential
D. maximum kinetic energy

Answer

To determine which of the following is dependent on the intensity of incident radiation in a photoelectric experiment, we can analyze the relationships involved in the photoelectric effect.

### Step-by-Step Solution:

1. **Understanding the Photoelectric Effect**:
The photoelectric effect occurs when light (or electromagnetic radiation) hits a metal surface and causes the emission of electrons. The key parameters involved are the intensity of the incident radiation, the frequency of the radiation, the work function of the metal, and the emitted photoelectrons.

**Hint**: Remember that the photoelectric effect is influenced by both the energy of the incoming photons and the number of photons hitting the surface.

2. **Intensity and Number of Photons**:
The intensity of the incident radiation is directly proportional to the number of photons striking the surface per unit time. Higher intensity means more photons are hitting the surface.

**Hint**: Think about how increasing the brightness of a light source affects the number of photons.

3. **Photoelectric Current**:
The number of emitted photoelectrons is directly proportional to the number of incident photons (assuming each photon can eject one electron). Therefore, as the intensity increases, the number of emitted photoelectrons increases, leading to an increase in photoelectric current.

**Hint**: Consider the relationship between the number of photons and the current produced in the circuit.

4. **Work Function**:
The work function (φ) is a property of the metal and does not depend on the intensity of the incident radiation. It is a fixed value that represents the minimum energy required to remove an electron from the surface of the metal.

**Hint**: Recall that the work function is a characteristic of the material and does not change with the light intensity.

5. **Maximum Kinetic Energy**:
The maximum kinetic energy (K.E.) of the emitted electrons is given by the equation:
\[ K.E. = E_{incident} - \phi = h\nu - \phi \]
This is dependent on the frequency of the incident light and not on the intensity.

**Hint**: Remember that the energy of each photon is determined by its frequency, not the number of photons.

6. **Stopping Potential**:
The stopping potential is related to the maximum kinetic energy of the emitted electrons and is also not dependent on the intensity of the incident radiation.

**Hint**: The stopping potential is a measure of the energy of the emitted electrons, which is influenced by the frequency of light.

### Conclusion:
From the analysis, we conclude that the quantity that depends on the intensity of the incident radiation in a photoelectric experiment is the **photoelectric current**.

**Final Answer**: The amount of photoelectric current is dependent on the intensity of the incident radiation.