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A : If electric flux over a closed surfa...

A : If electric flux over a closed surface is negative then the surface encloses net negative charge.
R : Electric flux is independent of the charge distribution inside the surface.

A

A.If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

B.If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

C.If Assertion is true statement but Reason is false, then mark (3).

D

D.If both Assertion and Reason are false statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given 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 if the electric flux over a closed surface is negative, then the surface encloses a net negative charge. - According to Gauss's Law, the electric flux (Φ) through a closed surface is given by: \[ \Phi = \frac{Q_{\text{enc}}}{\epsilon_0} \] where \(Q_{\text{enc}}\) is the net charge enclosed by the surface and \(\epsilon_0\) is the permittivity of free space. 2. **Analyzing the Assertion**: - If the electric flux is negative (\(\Phi < 0\)), it implies: \[ \frac{Q_{\text{enc}}}{\epsilon_0} < 0 \] - Since \(\epsilon_0\) is a positive constant, this means: \[ Q_{\text{enc}} < 0 \] - Therefore, the assertion is correct: a negative electric flux indicates that the enclosed charge is negative. 3. **Understanding the Reason (R)**: - The reason states that electric flux is independent of the charge distribution inside the surface. - This means that regardless of how the charges are arranged inside the closed surface, the total electric flux depends only on the net charge enclosed. 4. **Analyzing the Reason**: - We can change the positions of charges inside the surface without affecting the total enclosed charge. Thus, the electric flux remains the same. - This confirms that the reason is also correct. 5. **Determining the Relationship Between A and R**: - While both the assertion and reason are correct, the reason does not provide a direct explanation for the assertion. The assertion specifically relates to the sign of the flux and the charge enclosed, while the reason discusses the independence of charge distribution. 6. **Conclusion**: - Since both the assertion and reason are true, but the reason is not the correct explanation of the assertion, the correct answer is that both A and R are true, but R is not the correct explanation of A. ### Final Answer: - Both assertion (A) and reason (R) are true, but R is not the correct explanation of A.
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