First slide

Stress and strain

Question

A bar of iron of length 1 m and 1 cm² cross-section is heated from 0 °C to 100°C. The coefficient of linear expansion of iron is 10^-5 l°C. The increase in its length is:

Easy

A

1 cm
B

0.1 cm
C

0.01 cm
D

0.001 cm

Solution

Thermal strain $\frac{∆ l}{l} = α ∆ θ \Rightarrow ∆ l = α ∆ θl = 10^{- 5} \times 100 \times 1 = 10^{- 3} m = 0.1 cm$

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