Assertion : The stopping potential depends on the frequency of incident light.
Reason : The stopping potential is related to maximum kinetic energy by `eV_(0)=K_(max)`.

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.

Explanation

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

### Step 1: Understand the Assertion
The assertion states that "The stopping potential depends on the frequency of incident light."

**Explanation**: The stopping potential (V₀) is the potential needed to stop the most energetic photoelectrons emitted from a material when light shines on it. According to the photoelectric effect, the energy of the incident light is given by E = hν, where h is Planck's constant and ν is the frequency of the light. Therefore, the stopping potential is indeed related to the frequency of the incident light.

### Step 2: Understand the Reason
The reason states that "The stopping potential is related to maximum kinetic energy by eV₀ = Kₘₐₓ."

**Explanation**: This is a fundamental relation from the photoelectric effect. The maximum kinetic energy (Kₘₐₓ) of the emitted electrons can be expressed as Kₘₐₓ = eV₀, where e is the charge of the electron. This means that the stopping potential is directly related to the maximum kinetic energy of the emitted electrons.

### Step 3: Relate the Assertion and Reason
Now, we can relate both the assertion and the reason.

From Einstein's photoelectric equation:
\[ K_{max} = hν - φ \]
where φ is the work function of the material.

Substituting Kₘₐₓ with eV₀, we get:
\[ eV₀ = hν - φ \]

From this equation, we can see that the stopping potential (V₀) is directly influenced by the frequency (ν) of the incident light. Thus, as the frequency of the incident light changes, the stopping potential also changes.

### Conclusion
Both the assertion and the reason are true, and the reason correctly explains the assertion.

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