#### Question

Solve the following example.

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?

#### 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 = Δ l

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"`

Is there an error in this question or solution?

Solution Solve the Following Example Concept: Sources of Heat.