An aluminium and steel rods having same lengths and cross-sections… | JEE Main 2026 (21 Jan, Shift 1)

Q9JEE Main 2026 · 21 JAN · SHIFT 1Medium

Thermometry & Thermal Expansion

An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at $30^\circ\text{C}$ . The coefficient of linear expansion of aluminium and steel are $24 \times 10^{-6}/^\circ\text{C}$ and $1.2 \times 10^{-5}/^\circ\text{C}$ , respectively. The length of this composite rod when its temperature is raised to $100^\circ\text{C}$ , is ______ cm.

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Answer: (c)

Each rod is $60$ cm long; $\Delta\theta = 100 - 30 = 70^\circ\text{C}$ .
$\Delta L = 60 \times 70 \times (24 + 12)\times 10^{-6} = 0.1512$ cm
$L = 120 + 0.15 = 120.15$ cm
So the answer is (c) 120.15 cm.

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