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Railway lines are laid with gaps to allow for expansion. If the gap between the steel rails 66 m long be 3.63 cm at 10°C . Then the temperature at which the lines touch (coefficient of linear expansion for steel = $11 \times 10^{- 6} C^{- 1}$ ) is

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60°C

80°C

70°C

40°C

answer is B.

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Detailed Solution

$e = Lα (Δθ)$

$Δ T = \frac{3.63}{6600 \times 11 \times 10^{- 6}} = 50$

$Final temperature = 50 + 10 = 60 ° C$

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