The Eiffel tower,which is made of steel (coefficient of linear expansion 13 x 10^-6 / $\circ$ C),is 320 m high at 20 $\circ$ C.The change in height of the tower between the winter months when the average temperature is -20 $\circ$ C and the summer months when the average temperature is 35 $\circ$ C is A)42 cm. B)35 cm. C)23 cm. D)15 cm. E)11 cm.

Question

Quizplus · Accepted Answer

We can use the formula ΔL = L α ΔT to find the change in height of the tower, where ΔL is the change in length, L is the original length (height), α is the coefficient of linear expansion, and ΔT is the change in temperature.

ΔT = (35°C) - (-20°C) = 55°C

ΔL = (320 m) (13 x 10^-6/°C) (55°C) = 238.4 cm

Since the question asks for the change in height, we need to convert centimeters to meters:

238.4 cm = 2.384 m

Therefore, the change in height is 2.384 m or 23 cm. The best choice is C.

The Eiffel Tower,which Is Made of Steel (Coefficient of Linear ∘\circ∘

The Eiffel Tower,which Is Made of Steel (Coefficient of Linear $\circ$