Graph of incident freuency with stopping potential in photoelectric effect is

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Answer

To understand the relationship between incident frequency and stopping potential in the photoelectric effect, we can break down the solution into the following steps:

### Step 1: Understand the Photoelectric Effect
The photoelectric effect occurs when light (photons) hits a metal surface and causes the ejection of electrons. The energy of the incident photons is related to their frequency.

### Step 2: Define Key Terms
- **Incident Frequency (ν)**: The frequency of the incoming light.
- **Stopping Potential (V₀)**: The potential required to stop the emitted electrons from reaching the anode in a photoelectric experiment.
- **Threshold Frequency (ν₀)**: The minimum frequency required to eject electrons from the metal surface.

### Step 3: Relationship Between Frequency and Stopping Potential
According to Einstein's photoelectric equation:
\[ E = hν = eV₀ \]
Where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant,
- \( e \) is the charge of the electron,
- \( V₀ \) is the stopping potential.

From this equation, we can derive:
\[ V₀ = \frac{hν}{e} \]
This shows that the stopping potential is directly proportional to the frequency of the incident light.

### Step 4: Graphing the Relationship
1. **X-axis**: Incident Frequency (ν)
2. **Y-axis**: Stopping Potential (V₀)

- At the threshold frequency (ν₀), the stopping potential (V₀) is zero because the energy of the photons is just enough to eject the electrons.
- As the frequency increases beyond the threshold frequency, the stopping potential increases linearly.

### Step 5: Conclusion
The graph of incident frequency (ν) versus stopping potential (V₀) will be a straight line starting from the point (ν₀, 0) and rising linearly as frequency increases. This indicates that as the frequency increases, the stopping potential also increases.

### Final Graph Representation
The graph will look like this:
- A straight line starting from the point (ν₀, 0) and moving upwards to the right.