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Question

A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

A
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B
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C
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D
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Solution

The correct option is A
l=FLπr2Yl2l1=F2F1L2L1(r1r2)2=2×2×(12)2=1l2=l1 i.e. the increment in length will be same.

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