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Two rods having length $l_{1} and l_{2},$ made of materials with the linear coefficient of expansion $α_{1} and α_{2}$ , were welded together. The equivalent coefficient of linear expansion for the composite rod is

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l1α2+l2α1l1+l2

l1α1+l2α2α1+α2

l1α1+l2α2l1+l2

l1α1+l2α2α1-α2

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detailed solution

Correct option is C

l1α1+l2α2=(l1+l2)α α= l1α1+l2α2l1+l2

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Two rods having length l1 and l2, made of materials with the linear coefficient of expansion α1 and α2, were welded together. The equivalent coefficient of linear expansion for the composite rod is

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Two rods having length $l_{1} and l_{2},$ made of materials with the linear coefficient of expansion $α_{1} and α_{2}$ , were welded together. The equivalent coefficient of linear expansion for the composite rod is