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Q.

Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2N. Assume that both the wires are made up of same material and the radius of wire B is  4 times that of  the radius of wire A. The length of the wires A and B are in the ratio of a:b. Then  ab  can be expressed as  1x where x is……..

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answer is 32.

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Detailed Solution

Young's Modulus=Y=F.lAΔl=Flπr2eBoth wires have same Y and F.⇒l1l2=r12r22×e1e2 ⇒ab=116×24=132So, x=32
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