JEE Main 2021 · 24 Feb · Shift 1 · Physics Q6

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PhysicsSingle correct+4 / -1Question 6 of 90

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 'α'. The metal sheet is heated uniformly, by a small temperature ΔT, so that its new temperature is T + ΔT. Calculate the increase in the volume of the metal box.

4\pi a^3\alpha\Delta T

4a^3\alpha\Delta T

\dfrac43\pi a^3\alpha\Delta T

3a^3\alpha\Delta T

Answer and worked solution

Official answer: D

Volume expansion $\Delta V=\gamma V\Delta T=3\alpha a^3\Delta T$ (a hollow box expands like a solid one).

(D)

Topics:Temperature and thermal expansion

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JEE Main 2021 · 24 Feb · Shift 1, Physics question 6