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\(^{-1}\).

A.

0.18cm

B.

1.80cm

C.

18.00cm

D.

1800cm

Correct answer is C

\(\alpha\) = \(\frac{extension}{L\Delta\theta}\)

0.000012 = \(\frac{e}{600 \times (35 - 10}\)

= 0.18m

= (0.18 x 100) cm

= 18.0 cm