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Question
At 15∘C the height of Eifel tower is 324 m. If it is made of iron, what will be the increase in length in cm, at 30∘C?
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Solution
Height of Eifel tower = 324 m = 32400 cm at 15∘C
Temperature coefficient of linear expansion of iron = 11.5 × 10-6°C-1
Change in temperature = 30∘C − 15 ∘C = 15∘C
Change in length = Δl
Using formula for linear expansion of solids, we have
`(triangle l)/l = α_l triangle "T"`
`=> (triangle l)/32400 = 11.5 xx 10^(-6) xx 15`
`triangle l = 32400 xx 11.5 xx 10^(-6) xx 15`
= 5.6 cm
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