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. The maximum temperature that can be reached is 45. The gap to be kept between the two segments of railway track is (α steel = 1.3 × 10⁻⁵/) (a) 1.68 mm (b) 2.06 mm (c) 3.64 mm (d) 4.32 mm

Answer: (c). Gap = expansion of one segment: Δ L=LαΔ T Δ L=10×1.3×10⁻⁵×(45-17)=3.64×10⁻³ m So the answer is (c) 3.64 mm.

Rails of material of steel are laid with gaps to allow for thermal… | MHT CET 2024 (11 May, Shift 1)

Q26MHT CET 2024 · 11 MAY · SHIFT 1Medium

Thermometry & Thermal Expansion

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

$(\alpha$ steel $= 1.3 \times 10^{-5}/^\circ\text{C})$

Show answer and solution

Answer: (c)

Gap $=$ expansion of one segment: $\Delta L=L\alpha\Delta T$
$\Delta L=10\times1.3\times10^{-5}\times(45-17)=3.64\times10^{-3}$ m
So the answer is (c) 3.64 mm.

Report a mistake

Thermometry & Thermal Expansion question from MHT CET 2024 (11 May, Shift 1)

More questions on Thermometry & Thermal Expansion