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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: In a central force field, the work done is independent of the path chosen Reason R: Every force encountered in mechanics does not have an associated potential energy. In the light of the above statements, choose the most appropriate answer from the options given below (1) A is true but R is false (2) Both A and R are true but R is NOT the correct explanation of A (3) Both A and R are true and R is the correct explanation of A (4) A is false but R is true

1. A is true but R is false
2. Both A and R are true but R is NOT the correct explanation of A
3. Both A and R are true and R is the correct explanation of A
4. A is false but R is true

Correct answer: Both A and R are true but R is NOT the correct explanation of A

Solution

The assertion is correct because in a central force field, the work done depends only on the initial and final positions, not the path taken. However, the reason is false since not all forces lack potential energy; only non-conservative forces do.

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