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A composite bar of length L = L(1) + L(2...

A composite bar of length `L = L_(1) + L_(2)` is made up from a rod of material `1` and of length `L_(1)` attached to a rod of material `2` and of length `L_(2)` as shown. If `alpha_(1)` and `alpha_(2)` are their respective coefficient of linear expansion, then equivalent coefficient of linear expansion for the composite rod is

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