Question

At 15 °C the height of Eiffel Tower is 324 m. If it is made of iron, what will be the increase in length in cm, at 30 °C?

Answer 1

Data: ΔT = 30 °C – 15 °C = 15 °C, l₁ = 324 m, λ for iron = 11.5 × 10^-6 /°C l₂ – l₁ = λl₁ ΔT

= 11.5 × 10^-6 /°C × 324 m × 15 °C

= 55890 × 10^-6 m

= 55890 × 10^-6 × 10² cm

= 55890 × 10^-4 cm 

= 5.589 cm (nearly 5.6 cm) 

This is the increase in the length, i.e., the increase in the height of Eiffel Tower.