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A metal rod A of length ℓ0​ expands by Δℓ when its temperature is raised by 100oC. Another rod B of different metal of length 2ℓ0​ expands by Δℓ/2 for same rise in temperature. A third rod C of length 3ℓ0​ is made up of pieces of rods A and B placed end to end expands by 2Δℓ on heating through 100K.The length of each portion of the composite rod is:

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Δℓ = ℓ0α1 ΔT rod A   ...(1)

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