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Q.

Two rods of lengths L1 and L2 are welded together to make a composite rod of length (L1+L2). If the coefficient of linear expansion of the materials of the rods are α1 and α2 respectively, the effective coefficient of linear expansion of the composite rod is

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a

L1α1−L2α2L1+L2

b

L1α1+L2α2L1+L2

c

α1α2

d

α1+α22

answer is B.

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Detailed Solution

Δ1Δt=L1a1;Δ2Δt=L2a2∴ΔLΔt=Δ1Δt+Δ2Δt;L1+L2a=L1a1+L2a2

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