Question

The length of each rail is 10 m. The coefficient of linear expansion of steel is $12\times {10}^{-6}{/}^{\circ }C$ and the range of variation of temperature at the given place is ${15}^{\circ }C$. The gap to be left between the rails is :

• A. 0.0001 m
• B. 0.018 m
• C. 0.0012 m
• D. 0.0018 m

Answer 1

The correct option is D 0.0018 m

$\Delta L=L\alpha \Delta T=10\times (12\times {10}^{-6})\times 15=18\times {10}^{-4}=0.0018m$