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A steel scale is correct at 0°C. The length of a brass tube measured by it at 40°C is 4.5m. The correct length of the tube at 0°C is
(Coefficients of linear expansion of steel and brass are 11 × 10^-6/°C and 19 × 10^-6/°C respectively)

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4.001 m

5.001 m

4.499 m

4.501 m

answer is C.

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Detailed Solution

l₂ = l₁[1+ $(α_{2} - α_{1})$ t]
4.5 = l₁[1+ (8 x 10_-6)(40)] ; l₁ = 4.499m

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