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Assertion: The work done by a conservative force is path-independent.
Reason: A conservative force is a force whose work done on a particle moving from one point to another depends only on the endpoints and not on the path taken.
Both the assertion and the reason are true and the reason is the correct interpretation of the assertion.
The Assertion and the reason are correct, but the reason is not a correct interpretation of the Assertion.
The assertion is true, but the reason is false.
The assertion is false, but the reason is true.
Answers (1)
Explanation:
The assertion is true because a conservative force is one which depends only on the initial and final positions of an object, and not on the path taken by the object. Hence, the work done by a conservative force is independent of the path taken by the object.
The reason is also true because a conservative force is defined as a force that can be expressed as the negative gradient of a scalar potential function. This means that the work done by a conservative force on a particle moving from one point to another depends only on the endpoints and not on the path taken. This is because the potential energy associated with the conservative force depends only on the initial and final positions of the object, and not on the path taken by the object.
Therefore, both the assertion and reason are true, and the reason explains the assertion.
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