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Two metal rods A and B have lengths $L_{1} and L_{2}$ and same radius. The coefficients of linear expansions of the materials of A and B are $α_{1}$ and $α_{2}$ respectively. If the two rods are joined to form a longer rod of length $L_{1} + L_{2}$ , the equivalent coefficient of linear expansion of the composite rod will be

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L1α1+L2α2L1+L2

(L1/α1)+(L2/α2)L1+L2

L1α1+L2α2(1/L1)+(1/L2)

(α1/L1)+(α2/L2)L1+L2

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