The lengths of Iron and Aluminium rods are in the ratio 1 : 2. The coefficients of linear expansion of iron and aluminium are 12×10− 6 (∘C) − 1 and 24×10− 6 (∘C) − 1 respectively. The average coefficient of composite system is

α=l1α1+l2α2l1+l2=(1× 12+2 × 24)×10−61+2=20×10−6

The lengths of Iron and Aluminium rods are in the ratio 1 : 2. The coefficients of linear expansion of iron and aluminium are 12×10− 6 (∘C) − 1 and 24×10− 6 (∘C) − 1 respectively. The average coefficient of composite system is

α=l1α1+l2α2l1+l2=(1× 12+2 × 24)×10−61+2=20×10−6

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The lengths of Iron and Aluminium rods are in the ratio 1 : 2. The coefficients of linear expansion of iron and aluminium are $12 \times 10^{- 6} (^{\circ} C)^{- 1}$ and $24 \times 10^{- 6} (^{\circ} C)^{- 1}$ respectively. The average coefficient of composite system is

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$36 \times 10^{- 6} (^{\circ} C)^{- 1}$

$12 \times 10^{- 6} (^{\circ} C)^{- 1}$

$20 \times 10^{- 6} (^{\circ} C)^{- 1}$

$48 \times 10^{- 6} (^{\circ} C)^{- 1}$

answer is C.

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$α = \frac{l_{1} α_{1} + l_{2} α_{2}}{l_{1} + l_{2}} = \frac{(1 \times 12 + 2 \times 24) \times 10^{- 6}}{1 + 2} = 20 \times 10^{- 6}$

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The lengths of Iron and Aluminium rods are in the ratio 1 : 2. The coefficients of linear expansion of iron and aluminium are 12×10− 6 (∘C) − 1 and 24×10− 6 (∘C) − 1 respectively. The average coefficient of composite system is

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The lengths of Iron and Aluminium rods are in the ratio 1 : 2. The coefficients of linear expansion of iron and aluminium are $12 \times 10^{- 6} (^{\circ} C)^{- 1}$ and $24 \times 10^{- 6} (^{\circ} C)^{- 1}$ respectively. The average coefficient of composite system is