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If two roods of length L and  having coefficient of linear expansion \alpha and 2\alpha respectively., are connected end-to-end the average coefficient of linear expansion of the composite rod, equals

Option: 1

\frac{3 \alpha}{2}


Option: 2

\frac{5 \alpha}{2}


Option: 3

\frac{5 \alpha}{3}


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} & L \alpha \Delta \theta+2 L(2 \alpha)(\Delta \theta)=(3 L)\left(\alpha_e\right) \Delta \theta \\ & \frac{L}{\alpha} 2 \alpha=3 L, a_e \\ & \text { or } \alpha_e=\frac{5 \alpha}{3} \end{aligned}

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Kuldeep Maurya

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