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Q.

A wire is stretched by 0.01m by a certain force 'F' another wire of same material whose diameter and lengths are double to original wire is stretched by the same force then its elongation will be ....

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a

0.005m

b

0.02m

c

0.04m

d

0.01m

answer is A.

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Detailed Solution

e1 = 0.01m = 10-2 m F1 = F2 = F
Let r1=D2, r2=2D2=D
l1 = l    l2 = l    e2 = ?
e∝Ir2

⇒e2=l2l1 x r12r22 x e1=0.005 m

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