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^\circC and 35^\circC respectively. The linear expansivity of steel is 0.000012C\(^{-1}\).
A
0.18cm
B
1.80cm
C
18.00cm
D
1800cm
Verified Correct Answer: C.
Physical Principles & Numerical Solution
\(\alpha\) = \(\frac{extension}{L\Delta\theta}\)
0.000012 = \(\frac{e}{600 \times (35 - 10}\)
= 0.18m
= (0.18 x 100) cm
= 18.0 cm
Source: Myschool Past Questions Archive (Record #28060)