Verified Solution • 2025–26 Session moderate

QPages 12-14: Q12: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 12-14: Q12 Solution: A railway track made of iron) is laid in winter when the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often apply ΔL = αΔT instead of the correct ΔL = α L ΔT, forgetting to multiply by the 12 m length of each rail section; always include the original length when using the linear expansion formula to compute the required gap.

A railway track made of iron) is laid in winter when the average temperature is 18�C. The track consists of sections of 12.0 m placed one after the other. How much gap should be left between two such sections, so that there is no compression during summer when the maximum temperature rises to 48�C? Coefficient of linear expansion of iron =

11 \times 10^{-6} \text{ �C}^{-1}

.

Step-by-Step Verified Solution

**Answer:** Gap

= 3.96 \times 10^{-3} \text{ m} = 3.96 \text{ mm}

**Step-by-Step Explanation:**

L = 12.0

m,

\Delta T = 48 - 18 = 30�\text{C}

,

\alpha = 11 \times 10^{-6}

/�C.

\Delta L = L \alpha \Delta T = 12 \times 11 \times 10^{-6} \times 30 = 3.96 \times 10^{-3} \text{ m} = 3.96 \text{ mm}

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