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A bridge made of steel is 600m long. What is the daily variation in its...

Physics
JAMB 1992

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
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Correct Answer: Option 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


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