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The gap between any two rails, each of length laid on a railway track equal x at $27^{0} C$ . When the temperature rises to $40^{0} C$ , the gap closes up. The coefficient of linear expansion for material of the rail is $' α'$ . The length of a rail at $27^{0} C$ will be

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$\frac{x}{2 b α}$

$\frac{x}{13 α}$

$\frac{2 x}{13 α}$

$\frac{x}{20 α}$

answer is B.

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Detailed Solution

$e = L_{0} α (∆ θ); x = L_{0} α (13) as L_{0} = Initial length; L_{0} = \frac{x}{13 α}$

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