First slide

Thermal expansion

Question

If the length of a cylinder on heating increases by 2%, the area of its base will increase by

Easy

A

0.5%
B

2%
C

1%
D

4%

Solution

$\begin{array}{l} \frac{ΔA}{A} \times 100 % = 2 \times \frac{Δr}{r} \times 100 % = 2 \times 2 % = 4 % \\ [∵ \frac{Δr}{r} = α \cdot Δθ] \end{array}$

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