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MHT CET 2025 (5 May, Shift 2) · Thermometry & Thermal Expansion

Thermometry & Thermal Expansion question from MHT CET 2025 (5 May, Shift 2)

Q18MHT CET 2025 · 5 MAY · SHIFT 2Medium

Thermometry & Thermal Expansion

The length of steel rod is 5 cm longer than the copper rod at all temperatures. The length of the steel and copper rod is respectively (Coefficient of linear expansion for steel and copper is respectively $1.1 \times 10^{-5}/^\circ\text{C}$ and $1.7 \times 10^{-5}/^\circ\text{C}$ )

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Answer: (b)

Constant difference needs equal expansions: $L_s\alpha_s=L_c\alpha_c$ .
$1.1L_s=1.7(L_s-5)\Rightarrow 0.6L_s=8.5\Rightarrow L_s\approx14.2$ cm
$L_c=L_s-5\approx9.2$ cm
So the answer is (b) nearly 14 cm and 9 cm.

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