First slide

Thermal expansion

Question

Two metal rods have coefficients of linear expansion 1.1 × 10^-5 /°C and 1.65 × 10^-5 /°C respectively. The difference in lengths is 10cm at all temperatures. Their initial lengths must be respectively.

Moderate

A

40 cm and 50 cm
B

40 cm and 30 cm
C

50 cm and 60 cm
D

30 cm and 20 cm

Solution

$l_{1} α_{1} = l_{2} α_{2}, l_{1} - l_{2} = 10$

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