First slide

Thermal expansion

Question

The volume of a metal sphere increases by 0.24% when its temperature is raised by 40^oC . The coefficient of linear expansion of the metal is

Easy

A

2 x 10^-5 ^oC^-1
B

6 x 10^-5 ^oC^-1
C

18 x 10^-5 ^oC^-1
D

1.2 x 10^-5 ^oC^-1

Solution

$\begin{array}{l} γ = \frac{ΔV}{VΔt} = \frac{0 .24}{100 \times 40} = 6 \times 10^{- 5} \\ α = 2 \times 10^{- 5} /^{\circ} C \end{array}$

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