First slide

Thermal expansion

Question

The ratio of lengths of two rods is 1 : 2 and the ratio of coefficient of expansions is 2 : 3. The first rod is heated through 60°C. Find the
temperature through which the second rod is to be heated so that its expansion is twice that of first is

Moderate

A

60°C
B

40°C
C

30°C
D

10°C

Solution

$Δl = αlΔt \Rightarrow \frac{{Δt}_{1}}{{Δt}_{2}} = \frac{α_{2}}{α_{1}} \times \frac{l_{2}}{l_{1}}$

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