The length of each steel rail is 10m in winter. The coefficient of linear expansion of steel is 0.000012/°C and "the temperature increases by 15/°C in summer. The gap to be left between the rails

Question

The length of each steel rail is 10m in winter. The coefficient of linear expansion of steel is 0.000012/°C and "the temperature increases by 15/°C in summer. The gap to be left between the rails (A) 0.0018m (B) 0.0012m (C) 0.0022m (D) 0.05m

Tardigrade Admin · Accepted Answer

Gap left = Change in length on heating Gap = Initial length × Coefficient of linear expansion × change in temperature Gap =10 × 0.000012 × 15 m Longrightarrow Gap =0.0018 m

Q. The length of each steel rail is 10m in winter. The coefficient of linear expansion of steel is $0.000012 /^{\circ} C$ and "the temperature increases by $15 /^{\circ} C$ in summer. The gap to be left between the rails

0.0018m

0.0012m

0.0022m

0.05m

Gap left = Change in length on heating
Gap $=$ Initial length $\times$ Coefficient of linear expansion $\times$ change in temperature
Gap $= 10 \times 0.000012 \times 15 m$
$⟹$ Gap $= 0.0018 m$

Q. The length of each steel rail is 10m in winter. The coefficient of linear expansion of steel is 0.000012/∘C and "the temperature increases by 15/∘C in summer. The gap to be left between the rails