The number of photoelectrons emitted for light of a frequency `v` (higher than the threshold frequency `V_(0)`) is proportional to

Options

A. `v-v_(0)`
B. threshold frequency (v_(0)`
C. intensity of light
D. frequency of light (v)

Answer

To solve the question regarding the number of photoelectrons emitted when light of frequency \( v \) (which is higher than the threshold frequency \( v_0 \)) is incident on a material, we can follow these steps:

### Step-by-step Solution:

1. **Understanding the Photoelectric Effect**:
The photoelectric effect states that when light of a certain frequency shines on a material, it can cause the emission of electrons from that material. The emitted electrons are known as photoelectrons.

2. **Threshold Frequency**:
The threshold frequency \( v_0 \) is the minimum frequency of light required to emit photoelectrons from the material. If the frequency \( v \) of the incident light is greater than \( v_0 \), photoelectrons will be emitted.

3. **Energy of Photons**:
The energy \( E \) of a photon is given by the equation:
\[ E = h \cdot v \]
where \( h \) is Planck's constant and \( v \) is the frequency of the light.

4. **Intensity of Light**:
The intensity \( I \) of light is defined as the power per unit area. It is related to the number of photons \( N \) hitting a surface per unit time. The relationship can be expressed as:
\[ I = N \cdot E \]
where \( E \) is the energy of a single photon.

5. **Proportionality of Photoelectrons to Intensity**:
Since the number of photoelectrons emitted is directly proportional to the number of incident photons (as each photon can potentially emit one electron), we can conclude that the number of emitted photoelectrons is proportional to the intensity of the light.

6. **Conclusion**:
Therefore, the number of photoelectrons emitted when light of frequency \( v \) (greater than \( v_0 \)) is incident on a material is proportional to the intensity of the light.

### Final Answer:
The number of photoelectrons emitted is proportional to the intensity of the light.