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Q.

A steel rod is pulled by a force which increases gradually from zero to F and elongation produced in the rod is found to be x. If the some rod is pulled by a constant force 4F, the elongation produced in the rod will be

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a

6x

b

4x

c

8x

d

2x

answer is C.

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Detailed Solution

Initially x=FlAYIn the second case, elastic potential energy stored in the rod = Work done by 4F ∴ 12AYl.y2=4F.y⇒y=8FlAY=8x
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