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MHT CET 2023 (9 May, Shift 1) · Thermometry & Thermal Expansion

Thermometry & Thermal Expansion question from MHT CET 2023 (9 May, Shift 1)

Q39MHT CET 2023 · 9 MAY · SHIFT 1Medium

Thermometry & Thermal Expansion

Two uniform brass rods $A$ and $B$ of length ' $l$ ' and ' $2l$ ' and their radii ' $2r$ ' and ' $r$ ' respectively are heated to same temperature. The ratio of the increase in the volume of $\text{rod A}$ to that of $\text{rod B}$ is

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Answer: (c)

Same material and same $\Delta T$ , so $\Delta V \propto V$ .
$V_A = \pi(2r)^2 l = 4\pi r^2 l$ , $V_B = \pi r^2 (2l) = 2\pi r^2 l$
$\Delta V_A : \Delta V_B = 2 : 1$ , answer (c).

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