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
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a
l
b
2l
c
l2
d
l4
answer is A.
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Detailed Solution
l=FLAY=FLπr2Y⇒l∝FLr2(Y= constant )∴l2l1=F2F1×L2L1r1r22=2×2×122=1∴l2=l1, i.e., increase in its length will be l.