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Q.

An iron rod of length 50 cm is joined to an aluminium rod of length 100cm. All measurements refer to 20°C. The coefficient of linear expansion of iron and aluminium are 12×10−6/∘C and 24×10−6/∘C respectively. The average linear expansion coefficient of composite system is :

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a

36×10−6/∘C

b

12×10−6/∘C

c

20×10−6/∘C

d

48×10−6/∘C

answer is C.

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Detailed Solution

Δ1+Δ2=Δ;l1a1Δt+l2a2Δt=l1+l2aave Δtaavg =a1l1+a2l2l1+l2
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