4. The length of a steel bridge is 1000 m. Find the total change in length of the bridge between winter
(-10 °C) and summer (40°C). [alpha =1.2 x 10-⁵ K-¹]
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Explanation:
The answer is D.
This can be easily determined by using the formula for linear expansion due to temperature (or linear thermal expansion). This formula is stated as
change in length = alpha times the original length of the substance times the change in temperature. In this case, alpha is the average coefficient of linear expansion.
In the example you provide, you have given us all the information on the right side of the equation so all you have to do is multiply. When you mulitply the three numbers (1000 meters, the coefficient, and 60, which is the change in temperature) you get
.66 meters
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