Each side of a box made of metal sheet in cubic shape is 'a' at room… | JEE Main 2021 (24 Feb, Shift 1)

Q52JEE Main 2021 · 24 FEB · SHIFT 1Medium

Thermometry & Thermal Expansion

Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is ' $\alpha$ '. The metal sheet is heated uniformly, by a small temperature $\Delta$ T, so that its new temperature is T + $\Delta$ T. Calculate the increase in the volume of the metal box.

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Answer: (a)

The box expands like a solid cube of the same metal: $\gamma = 3\alpha$ .
$\Delta V = a^3(3\alpha)\Delta T$
So the answer is (a) $3a^3\alpha\Delta T$ .

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Thermometry & Thermal Expansion question from JEE Main 2021 (24 Feb, Shift 1)

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