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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a
α1+α22
b
2α1α2
c
4α1α2α1+α2L2L1L2+L12
d
α1L1+α2L2L1+L2
answer is D.
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Detailed Solution
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: