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Thermal Expansion

How much will...

Question

How much will a bar of aluminium $100 c m$ long, expand when heated from $20^{o} C$ to $100^{o} C$ ? Coefficient of linear expansion of aluminium is $2.5 \times 10^{- 5} C^{- 1}$ .

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Solution

Expansion of rod $= c o e f f i c i e n t o f e x p a n s i o n \times L \times Δ T$
$= 2.5 \times 10^{- 5} \times 1 \times (100 - 20) = 0.002 m = 0.2 c m$

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