The coefficient of linear expansion of steel is 12 × 10^-⁶/C°. A railroad track is made of individual rails of steel 1.0 km in length. By what length would these rails change between a cold day when the temperature is -10 °C and a hot day at 30 °C? A)0.62 cm B)24 cm C)48 cm D)480 cm E)620 cm

Question

Quizplus · Accepted Answer

The change in length (ΔL) can be calculated using the formula ΔL = αLΔT, where α is the coefficient of linear expansion, L is the original length, and ΔT is the change in temperature. Here, ΔL = 12 × 10^-6 /°C × 1000 m × (30°C - (-10°C)) = 12 × 10^-6 × 1000 × 40 = 0.48 m = 48 cm.

The Coefficient of Linear Expansion of Steel Is 12 ×