A section of railway track is made of steel rails which are laid end-to-end at

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A section of railway track is made of steel rails which are laid end-to-end at 5∘C5^{\circ}\text{C}. Each rail has a length of 12 m12\,\text{m} at this temperature. (i) Define the term coefficient of linear expansion for a solid. (ii) Giving physical reasons, describe why a small clearance must be left between successive rails when they are laid during winter. (iii) Show that the minimum gap gg to be left between two such rails so that they just avoid buckling when the ambient temperature may rise to 45∘C45^{\circ}\text{C} is given by g=α l ΔTg=\alpha\,l\,\Delta T, where the symbols have their usual meaning.

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