Assertion :Work done by a constant force is path independent. Reason: All constant forces are conservative in nature.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Work done by a force in a displacement is $\int_{A}^{B} \to F . d \to s$
If the force is constant, work done by the force $F \int_{A}^{B} d s$
$= F (s_{B} - s_{A})$
Thus the work done depends only upon the initial and final position. Hence assertion is correct.
However it is not necessary that all constant force are conservative in nature. Friction can be constant for a body moving along a straight line with constant velocity under applied external force, but it is not conservative however.

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