First slide

Thermal expansion

Question

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).

Moderate

A

4.001m
B

5.001 m
C

4.999m
D

4.501m

Solution

$l_{c} = l_{m} [1 + (α_{S} ~ α_{b}) (t_{2} - t_{1})]$

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