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Q.

Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is

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a

Four times for wire A as for wire B

b

Twice for wire A as for wire B

c

Half for wire A as for wire B

d

One-fourth for wire A as for wire B

answer is D.

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Detailed Solution

l=FLAY⇒l∝1r2(F_,L_ and Y are same )lAlB=rBrA2=rB2rB2=14⇒lB=4lA or lA=lB4

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