A bridge made of steel is 600m long. What is the daily variation in its length if the night-time and daytime temperatures are 10°C and 35°C respectively. The linear expansivity of steel is 0.000012C\(^{-1}\).
- 0.18cm
- 1.80cm
-
18.00cm
- 1800cm
The correct answer is: C
Explanation
\(\alpha\) = \(\frac{extension}{L\Delta\theta}\)
0.000012 = \(\frac{e}{600 \times (35 - 10}\)
= 0.18m
= (0.18 x 100) cm
= 18.0 cm