First slide

Thermal expansion

Question

The coefficient of linear expansion of a metal is 1 x 10^-5/^o C. The percentage increase in area of a square plate of that metal when it is heated through 100^oC is

Moderate

A

0.02 %
B

0.1 %
C

0.001 %
D

0.2 %

Solution

$\begin{array}{l} \frac{Δl}{I} \times 100 = αΔt \times 100 = 10^{- 5} \times 10^{4} = 10^{- 1} = 0 .1 % \\ \frac{ΔA}{A} \times 100 = 0 .2 % \end{array}$

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