Assertion : If the frequency of the incident light on a metal electrons is more than doubled.
Reason : The metal will provide additional energy to the emitted photoelectron for light of higher frequency than for lower frequency.

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 both assertion and reason are false.

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that if the frequency of the incident light on a metal is more than doubled, the metal will provide additional energy to the emitted photoelectrons.

**Explanation**: According to the photoelectric effect, the energy of the incident light is given by the equation \( E = h \nu \), where \( h \) is Planck's constant and \( \nu \) is the frequency of the light. If the frequency is doubled, the energy of the light will also double. This means that the electrons emitted from the metal will have more energy when the frequency of the incident light is increased.

### Step 2: Understand the Reason
The reason states that the metal will provide additional energy to the emitted photoelectrons for light of higher frequency than for lower frequency.

**Explanation**: This statement is also true because as the frequency increases, the energy of the incident photons increases. Higher frequency light means more energy per photon, which translates to more kinetic energy for the emitted photoelectrons. Thus, the emitted photoelectrons will indeed have higher energy when exposed to higher frequency light.

### Step 3: Conclusion
Both the assertion and the reason are correct. The reason correctly explains the assertion because an increase in frequency leads to an increase in energy, which results in the emission of photoelectrons with greater energy.

### Final Answer:
Both the assertion and the reason are true, and the reason is the correct explanation of the assertion.