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Q.

Two rods of lengths l1 and l2 are made of materials whose coefficients of linear expansions are α1 and α2. If the difference between two lengths is independent of  temperature.

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a

l1l2=α1α2

b

l1I2=α2α1

c

l22α1=l12α2

d

α12l1=α22l2

answer is B.

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Detailed Solution

Δl1=Δl2or    l11+α1T=l21+α2T∴       l1−l2=l2α2−l1α1TSince l1−b2is independent of temperature and hencel2α2−l1α1=0  or  l1l2=α2α1
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