The Eiffel tower in Paris is made primarily of iron,whose coefficient of linear expansion is about 10 × 10−⁶/°C.On a cold day when the temperature is −10°C the Eiffel tower is 300 meters tall.Its height on a hot day when the temperature is 40°C is 300.15 m.

Question

Quizplus · Accepted Answer

The Eiffel Tower's height will increase as the temperature increases due to the expansion of the iron material. The change in height 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. Plugging in the given values, we have ΔL = (10 × 10^-5/°C)(300 m)(50°C) = 15 cm. Therefore, the new height on a hot day would be 300 m + 15 cm = 300.15 m, as given in the statement.

The Eiffel Tower in Paris Is Made Primarily of Iron,whose