Assertion (A): When two bodies are rubbed together body A acquires `q_(1)` and body B acquires `q_(2)` then `q_(1)+q_(2)=0`
Reason (R): Irrespective charge is enclosed by the surface, total flux through the surface is zero.

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A).
B. Both (A) and (R) are true but (R) is not the correct explanation of (A).
C. (A) is true but (R) is false.
D. (A) is false and (R) is also false.

Explanation

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that when two bodies (A and B) are rubbed together, body A acquires charge \( q_1 \) and body B acquires charge \( q_2 \). It claims that \( q_1 + q_2 = 0 \).
- This means that the charges are equal in magnitude but opposite in sign. If body A gains a positive charge \( q_1 \), then body B must gain a negative charge \( q_2 = -q_1 \).

2. **Understanding the Reason (R)**:
- The reason states that irrespective of the charge enclosed by a surface, the total electric flux through that surface is zero.
- According to Gauss's law, the electric flux \( \Phi \) through a closed surface is given by \( \Phi = \frac{Q_{\text{enc}}}{\epsilon_0} \), where \( Q_{\text{enc}} \) is the total charge enclosed by the surface and \( \epsilon_0 \) is the permittivity of free space.
- If \( Q_{\text{enc}} = q_1 + q_2 = 0 \), then the total flux \( \Phi \) through the surface is zero.

3. **Combining the Assertion and Reason**:
- Since \( q_1 + q_2 = 0 \) as stated in the assertion, it follows that the total charge enclosed by any closed surface that contains both bodies A and B is zero.
- Therefore, according to Gauss's law, the total electric flux through that surface is also zero, which supports the reason provided.

4. **Conclusion**:
- Both the assertion (A) and the reason (R) are correct.
- Additionally, the reason correctly explains the assertion.

### Final Answer:
Both assertion (A) and reason (R) are correct, and the reason is a correct explanation of the assertion.

---