Question

How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by 15ºC? Its original height is 321 m, and you can assume it is made of steel.

a) (1.0 m)
b) (1.7 m)
c) (2.4 m)
d) (3.1 m)

Answer 1

The change in height of the Eiffel Tower due to a temperature increase of 15°C can be calculated using the formula for thermal expansion. In this case, the change in height is 4.6 meters. The given options in the multiple choice are incorrect.

Step-by-step explanation:

The change in height of an object due to thermal expansion can be calculated using the formula:

∆h = (initial height) x (coefficient of linear expansion) x (∆T)

where ∆h is the change in height, (initial height) is the original height of the object, (coefficient of linear expansion) is a constant that represents how much the object expands per degree Celsius, and (∆T) is the change in temperature in degrees Celsius.

For the Eiffel Tower, we need to find the change in height when the temperature increases by 15°C. We can assume the Eiffel Tower is made of steel, which has a coefficient of linear expansion of 11 x 10^-6 /°C. Plugging in the values, we get:

∆h = (321 m) x (11 x 10^-6 /°C) x (15°C)

Calculating this, we get a change in height of 4.6 meters which is not one of the options given in the multiple choice. Therefore, none of the given options is correct.