Gap between any two rails, each of length l laid on a railway track equal x at 27,^oC . When tempera

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10-1.Thermometry, Thermal Expansion and Calorimetry

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The gap between any two rails, each of length $l$ laid on a railway track equal $x$ at $27\,^oC$ . When the temperature rises to $40\,^oC$ , the gap close up. The coefficient of linear expansion of the material of the rail is $\alpha $ . The length $l$ of a rail at $27\,^oC$ will be

A

$\frac{x}{{26\alpha }}$

B

$\frac{x}{{13\alpha }}$

C

$\frac{2x}{{13\alpha }}$

D

$\frac{2x}{{14\alpha }}$

Solution

$l=x=l \mu T$

$l=\frac{x}{13 \alpha}$

Standard 11

Physics

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