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Given below are two statements labelled ...

Given below are two statements labelled as Assertion (A) and Reason (R )
Assertion (A) : Work done in moving a charge between any two points in an electric field is dependent of the path followed by the charge, between these points.
Reason ( R) : Electrostatic force is a non-conservative force.

A

Both A and R are true and R is also 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.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given problem, we need to analyze the two statements: Assertion (A) and Reason (R). ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that "Work done in moving a charge between any two points in an electric field is dependent on the path followed by the charge, between these points." - In electrostatics, the work done on a charge moving in an electric field is given by the formula: \[ W = Q \cdot \Delta V \] where \(W\) is the work done, \(Q\) is the charge, and \(\Delta V\) is the potential difference between the two points. - This indicates that the work done depends only on the initial and final positions of the charge, not the path taken. 2. **Understanding the Reason (R)**: - The reason states that "Electrostatic force is a non-conservative force." - However, electrostatic forces are actually conservative forces. This means that the work done by electrostatic forces is path-independent and depends only on the initial and final positions. 3. **Analyzing the Statements**: - Since the assertion (A) claims that work done is path-dependent, which contradicts the established principle that in electrostatic fields, the work done is path-independent, the assertion is **false**. - The reason (R) is also false because it incorrectly categorizes electrostatic forces as non-conservative when they are indeed conservative. 4. **Conclusion**: - Both the assertion and the reason are false. Therefore, the correct response to the question is that both statements are incorrect. ### Final Answer: Both Assertion (A) and Reason (R) are false.
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