Two uniform bars of length L 1 and L 2 with the coefficient of linear expansion α 1 and α 2 are joined to form a longer rod of length L 1 + L 2 . The effective coefficient of linear expansion of the composite bar is

Question

Two uniform bars of length L 1 and L 2 with the coefficient of linear expansion &alpha; 1 and &alpha; 2 are joined to form a longer rod of length L 1 + L 2 . The effective coefficient of linear expansion of the composite bar is

Chetan Mandayam Nayakar · Answer

(L 1 (alpha1)+L 2 (alpha2))/(L 1 +L 2 )

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Two uniform bars of length L 1 and L 2 with the coefficient of linear expansion α 1 and α 2 are joined to form a longer rod of length L 1 + L 2 . The effective coefficient of linear expansion of the composite bar is

Two uniform bars of length L₁and L₂with the coefficient of linear expansion α₁ and α₂ are joined to form a longer rod of length L_{1 +}L_{2 .}The effective coefficient of linear expansion of the composite bar is

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Two uniform bars of length L 1 and L 2 with the coefficient of linear expansion α 1 and α 2 are joined to form a longer rod of length L 1 + L 2 . The effective coefficient of linear expansion of the composite bar is

Two uniform bars of length L1 and L2 with the coefficient of linear expansion α1 and α2 are joined to form a longer rod of length L1 + L2 . The effective coefficient of linear expansion of the composite bar is

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Two uniform bars of length L₁and L₂with the coefficient of linear expansion α₁ and α₂ are joined to form a longer rod of length L_{1 +}L_{2 .}The effective coefficient of linear expansion of the composite bar is