Q.

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:

Moderate

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By Expert Faculty of Sri Chaitanya

a

α1+α22

b

2α1α2

c

4α1α2α1+α2L2L1L2+L12

d

α1L1+α2L2L1+L2

answer is 4.

(Detailed Solution Below)

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Detailed Solution

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