Which one of the following graphs in figure shows the variation of photoelectric current `(I)` with voltage `(V)` between the electrodes in a photoelectric cell?

Options

A.
B.
C.
D.

Explanation

To determine the correct graph that shows the variation of photoelectric current \( I \) with voltage \( V \) between the electrodes in a photoelectric cell, we can analyze the behavior of the photoelectric effect under varying voltage conditions.

### Step-by-step Solution:

1. **Understanding the Photoelectric Effect**:
- When light of sufficient frequency strikes a photoelectric material, it ejects electrons. The ejected electrons contribute to the photoelectric current.

2. **Current at Zero Voltage**:
- When the voltage \( V \) is zero, there is no potential difference to drive the electrons towards the anode. Therefore, the photoelectric current \( I \) is also zero. This means that any graph where the current is non-zero when \( V = 0 \) is incorrect.

3. **Increasing Voltage**:
- As the voltage \( V \) increases, the electric field accelerates the ejected electrons towards the anode, increasing the current \( I \). Initially, the current increases with increasing voltage.

4. **Saturation Current**:
- After reaching a certain voltage, the current reaches a maximum value known as the saturation current. This occurs when all the emitted electrons are collected at the anode, and further increases in voltage do not increase the current.

5. **Reverse Voltage**:
- If the voltage is reversed (negative voltage), the current will decrease and eventually become zero as the electric field opposes the movement of the emitted electrons. However, there may still be a small reverse current due to the few electrons that can still reach the anode.

6. **Analyzing the Options**:
- Based on the above understanding:
- **Option A**: Starts at zero current when \( V = 0 \) and increases to a saturation current, which is consistent with our analysis.
- **Option B**: Shows current decreasing to zero with increasing voltage, which is incorrect.
- **Option C**: Shows a large increase in current with a small increase in voltage, which is also incorrect.
- **Option D**: Shows non-zero current at zero voltage, which is incorrect.

7. **Conclusion**:
- The correct graph that represents the variation of photoelectric current \( I \) with voltage \( V \) is **Option A**.