Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature $17^{\circ} \mathrm{C}$. The maximum temperature that can be reached is $45^{\circ} \mathrm{C}$. The gap to be kept between the two segments of railway track is…

Question

Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when laid at temperature $17^{\circ} \mathrm{C}$. The maximum temperature that can be reached is $45^{\circ} \mathrm{C}$. The gap to be kept between the two segments of railway track is $\left(\alpha_{	ext {stect }}=1.3 	imes 10^{-5} /{ }^{\circ} \mathrm{C}ight)$

Aicharya · Accepted Answer

$\begin{array}{ll} & \mathrm{L}_2-\mathrm{L}_1=\mathrm{L}_1 \alpha\left(\mathrm{t}_2-\mathrm{t}_1ight) \ 	herefore & \mathrm{L}_2-\mathrm{L}_1=10 	imes\left(1.3 	imes 10^{-5}ight) 	imes(45-17) \ 	herefore & \mathrm{L}_2-\mathrm{L}_1=3.64 \mathrm{~mm}\end{array}$

Rails of material of steel are laid with gaps to allow for thermal expansion. Each track is 10 m long, when…

Solution