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Question

Assertion : A body is moved from x=2 to x=1, under a force F=4x, the work done by the force is negative.
Reason: Force and displacement are in opposite directions.

A
Both Assertion and Reason are true and the Reason is correct explanation of Assertion
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B
Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
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C
Assertion is true but the Reason is false
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D
Assertion is false but the Reason is true
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Solution

The correct option is A Both Assertion and Reason are true and the Reason is correct explanation of Assertion
W=F.ds=12(4x)dx=2x2|12=6 J
Here, F and ds are in opposite direction w.r.t to each other therefore negative work.

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