Assertion : In photoelctric effect , on increasing the intensity of light , both the number of electrons emitted and kinetic energy of each of them get increased but photoelectric current remains unchanged.
Reason : The photoelectric current depends only on wavelength of light .

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If assertion and reason both are false.

Explanation

To solve the question, we need to analyze both the assertion and the reason provided regarding the photoelectric effect.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
The assertion states that in the photoelectric effect, increasing the intensity of light results in an increase in both the number of electrons emitted and the kinetic energy of each electron, while the photoelectric current remains unchanged.

- **Analysis**:
- When the intensity of light is increased, the number of photons striking the surface increases.
- Each photon can emit an electron if it has sufficient energy (frequency).
- Therefore, the number of emitted electrons increases with intensity.
- However, the kinetic energy of the emitted electrons is determined by the frequency of the incident light (given by the equation \( KE = h\nu - \phi \), where \( \phi \) is the work function). Thus, the kinetic energy does not change with intensity but only with frequency.

- **Conclusion**: The assertion is incorrect because while the number of electrons emitted increases with intensity, the kinetic energy remains constant, and the photoelectric current will also increase due to the increased number of emitted electrons.

2. **Understanding the Reason**:
The reason states that the photoelectric current depends only on the wavelength of light.

- **Analysis**:
- The photoelectric current is directly proportional to the number of electrons emitted, which in turn is related to the intensity of light (number of photons).
- The current does not depend solely on wavelength; it is influenced by both the intensity (which affects the number of photons) and the frequency (which affects the kinetic energy of the emitted electrons).

- **Conclusion**: The reason is also incorrect because the photoelectric current depends on the intensity of the light, not just the wavelength.

3. **Final Conclusion**:
Both the assertion and the reason are incorrect. Therefore, the correct option is that both the assertion and reason are false.

### Final Answer:
Both assertion and reason are false.