Assertion: In a region where uniform electric field exists, the net charge with in volume of any size is zero.
Reason: The electric flux within any closed surface in region of uniform electirc field is zero.

Options

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

Answer

To solve the question regarding the assertion and reason related to electric fields, we will analyze both statements step by step.

### Step 1: Understand the Assertion
**Assertion:** In a region where a uniform electric field exists, the net charge within a volume of any size is zero.

- A uniform electric field is characterized by constant magnitude and direction throughout the region. According to Gauss's law, the electric flux through a closed surface is directly proportional to the charge enclosed within that surface.

### Step 2: Apply Gauss's Law
**Gauss's Law:** The electric flux (Φ) through a closed surface is given by:
\[ \Phi = \frac{Q_{\text{in}}}{\epsilon_0} \]
where \(Q_{\text{in}}\) is the charge enclosed within the surface, and \(\epsilon_0\) is the permittivity of free space.

- In a uniform electric field, the number of electric field lines entering a closed surface is equal to the number of lines exiting it. Therefore, the net electric flux through the surface is zero.

### Step 3: Analyze the Reason
**Reason:** The electric flux within any closed surface in a region of uniform electric field is zero.

- Since the electric field is uniform, the flux entering the surface is equal to the flux exiting the surface. Thus, the total electric flux through the closed surface is zero, which implies that:
\[ \Phi = 0 \implies Q_{\text{in}} = 0 \]
This indicates that there is no net charge within the closed surface.

### Step 4: Conclusion
- Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that:
1. The assertion is correct: The net charge within a volume of any size in a uniform electric field is zero.
2. The reason is also correct: The electric flux through a closed surface in a uniform electric field is zero.

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

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