The coefficient of linear expansion of an inhomogeneous rod changes linearly from \( \alpha_{1} ...

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The coefficient of linear expansion of an inhomogeneous rod changes linearly from \( \alpha_{1} \) to \( \alpha_{2} \) from one end to the other end of the rod. The effective coefficient of linear expansion of rod is :
(A) \( \alpha_{1}+\alpha_{2} \)
(B) \( \frac{\alpha_{1}+\alpha_{2}}{2} \)
(C) \( \sqrt{\alpha_{1} \alpha_{2}} \)
(D) \( \alpha_{1}-\alpha_{2} \)
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