If a force is conservative:

Work is path independent

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Work is path dependent

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Potential energy remains constant

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None of these

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Solution

The correct option is A Work is path independent
If force is conservative then work done is path independent it only depend on the initial and final position change
work done by conservative force $=$ change in $P . E .$ ,
Which is path independent.

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y = 4 x^{2}

\to F = x y^i + x^{2} y^j

Assertion: (A): Work done by electric force is path independent.

Reason: (R): Electric force is conservative.

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