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Q.

The wires of same length and Young's modulus are subjected to same tensile force. If ∆l is the change in length of a wire, and c is the circumference of the wire, find the correct graph. The experiment is performed on the wires of different circumferences:

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a

b

c

d

answer is B.

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Detailed Solution

∆l = FlAy = Fl(πd24)y = 4Flπd2y;∆l∝(ld2)As circumference (=πd) increases, d2 increases, (∆l) decreases.
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