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Two different wires having lengths \( L_{1} \) and \( L_{2} \), and respective temperature coefficient of linear expansion
\( \mathrm{P} \)
\( \alpha_{1} \) and \( \alpha_{2} \), are joined end-to-end. Then the effective temperature coefficient of linear expansion is:
(1) \( \frac{\alpha_{1} L_{1}+\alpha_{2} L_{2}}{L_{1}+L_{2}} \)
(2) \( 2 \sqrt{\alpha_{1} \alpha_{2}} \)
(3) \( \frac{\alpha_{1}+\alpha_{2}}{2} \)
(4) \( 4 \frac{\alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}} \frac{L_{2} L_{1}}{\left(L_{2}+L_{1}\right)^{2}} \)


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