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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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By Expert Faculty of Sri Chaitanya
a
α1+α22
b
2α1α2
c
4α1α2α1+α2L2L1L2+L12
d
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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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2l1will remain the same at all temperatures if 

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