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Two different wires having length $L_{1}$ and $L_{2}$ and respective temperature coefficient of linear expansion $α_{1}$ and $α_{2}$ ,are joined end-to-end. Then the effective temperature coefficient of linear expansion is:

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α1+α22

2α1α2

4α1α2α1+α2L2L1L2+L12

α1L1+α2L2L1+L2

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detailed solution

Correct option is D

Thermal expansion for effective wireLeffαeffΔθ=L1α1Δθ+L2α2Δθ⇒αeff=L1α1+L2α2L1+L2

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Two different wires having length L1 and L2 and respective temperature coefficient of linear expansion α1 and α2,are joined end-to-end. Then the effective temperature coefficient of linear expansion is:

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Two different wires having length $L_{1}$ and $L_{2}$ and respective temperature coefficient of linear expansion $α_{1}$ and $α_{2}$ ,are joined end-to-end. Then the effective temperature coefficient of linear expansion is: