Assertion : For photoelectric effect to occur , the energy of incident radiation falling on the metal plate should be greater than the work function of metal.
Reason : Incident light of any frequency , if its intensity is high enough , is capable of emitting electrons from the metal surface.

Options

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

Answer

To solve the given question regarding the assertion and reason related to the photoelectric effect, we will analyze both statements step by step.

### Step 1: Analyze the Assertion
The assertion states: "For photoelectric effect to occur, the energy of incident radiation falling on the metal plate should be greater than the work function of the metal."

- The photoelectric effect occurs when light (or radiation) hits a metal surface and causes the emission of electrons.
- The energy of the incident radiation is given by \( E = h\nu \), where \( h \) is Planck's constant and \( \nu \) is the frequency of the incident light.
- The work function (\( \phi \)) is the minimum energy required to remove an electron from the surface of the metal.
- For electrons to be emitted, the energy of the incident radiation must be greater than the work function: \( h\nu > \phi \).

**Conclusion**: The assertion is correct.

### Step 2: Analyze the Reason
The reason states: "Incident light of any frequency, if its intensity is high enough, is capable of emitting electrons from the metal surface."

- The reason suggests that the emission of electrons can occur with any frequency of light as long as the intensity is high enough.
- However, according to the principles of the photoelectric effect, there is a threshold frequency (\( \nu_0 \)) below which no electrons will be emitted, regardless of the intensity of the light.
- If the frequency of the incident light is less than the threshold frequency, even with very high intensity, the energy will not be sufficient to overcome the work function, and no electrons will be emitted.

**Conclusion**: The reason is incorrect.

### Final Conclusion
- The assertion is correct: The energy of the incident radiation must be greater than the work function for the photoelectric effect to occur.
- The reason is incorrect: Not any frequency of light can cause the emission of electrons, regardless of intensity.

### Answer
The correct option is: Assertion is correct but Reason is incorrect (Option C).

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