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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 12×106/C and 24×106/C respectively. The average linear expansion coefficient of composite system is :

a
36×10−6/∘C
b
12×10−6/∘C
c
20×10−6/∘C
d
48×10−6/∘C

detailed solution

Correct option is C

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

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