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Q.

The length of each rail is 10m. The coefficient linear expansion of steel is 12×10–6/°C and range of variation of temperature at the given place is 15°C. The gap to be left between the rails is

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a

0.00022 m

b

0.0018 m

c

0.05 m

d

0.0012 m

answer is A.

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Detailed Solution

α=12×10−6,ℓ=10m,Δt=15∘CΔℓ=αℓΔt=12×10−6×10×15=0.00180

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The length of each rail is 10m. The coefficient linear expansion of steel is 12×10–6/°C and range of variation of temperature at the given place is 15°C. The gap to be left between the rails is