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Q.

There are two wires of the same length. The diameter of second wire is twice that of the first. On applying the same load to both the wires, the extension produced in them will be in ratio of

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a

1:4

b

1:2

c

2:1

d

4:1

answer is D.

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Detailed Solution

Young's modulus, Y= Stress  Strain   or stress =Y . strain   or strain = Stress / Y  or Δl=FlYA;Δl1Δl2=F1l1 A1Y1·A2Y2 F1l1 l1=l2&Y1=Y2,F1=F2 ⇒Δl1Δl2=πr22πr12=4r2r2=4
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There are two wires of the same length. The diameter of second wire is twice that of the first. On applying the same load to both the wires, the extension produced in them will be in ratio of