Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from metal surface?

Options

A.
B.
C.
D.

Explanation

To solve the question regarding which graph does not represent the relationship between incident light and the electrons ejected from a metal surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Photoelectric Effect**:
- The photoelectric effect describes the phenomenon where electrons are ejected from a metal surface when it is exposed to light of sufficient frequency. The energy of the incident light must exceed a certain threshold energy (E₀) for electrons to be emitted.

2. **Kinetic Energy of Ejected Electrons**:
- The kinetic energy (K.E.) of the ejected electrons can be expressed by the equation:
\[ K.E. = E - E_0 \]
where \(E\) is the energy of the incident light and \(E_0\) is the threshold energy.

3. **Graphical Representation**:
- The relationship between the frequency of incident light (ν) and the kinetic energy of the ejected electrons can be represented by the equation:
\[ K.E. = hν - hν_0 \]
where \(h\) is Planck's constant and \(ν_0\) is the threshold frequency. This implies that:
- The slope of the graph of kinetic energy (K.E.) vs. frequency (ν) is \(h\).
- The intercept on the K.E. axis is \(-hν_0\).

4. **Analyzing the Given Graphs**:
- **Graph 1**: If this graph starts from the origin (0,0) and has an intercept, it does not correctly represent the relationship because the K.E. should not be zero when the frequency is below the threshold frequency.
- **Graph 2**: If this graph has a positive slope and a non-zero intercept, it could represent a valid relationship.
- **Graph 3**: If this graph plots the number of ejected electrons against frequency, it is also valid.
- **Graph 4**: If this graph shows K.E. against intensity, it is incorrect since K.E. does not depend on intensity.

5. **Conclusion**:
- Based on the analysis, **Graph 1** does not represent the correct relationship between incident light and the ejected electrons from the metal surface.

### Final Answer:
**Graph 1 is the correct answer as it does not represent the relationship between incident light and the electron ejected from the metal surface.**