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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2−l1will remain the same at all temperatures if

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a

α1l2=α2l1

b

α1l22=α2l12

c

α12l1=α22l2

d

α1l1=α2l2

answer is D.

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Detailed Solution

L2=l21+α2Δθ and L1=l11+α1Δθ⇒L2−L1=l2−l1+Δθl2α2−l1α1 Now L2−L1=l2−l1 so, l2α2−l1α1=0α1l1=l2α2

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