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 ∆ T, so that its new temperature is T+∆ T. Calculate the increase in the volume of the metal box. 24 Feb 2021 Shift1

\frac{4}{3} \pi a^{3} \alpha ∆ T

JEE Main 24 Feb 2021 Shift 1 Solved Paper

Section: Physics

Question : 6 of 90

Marks: +1, -0

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 ∆T, so that its new temperature is T+∆T. Calculate the increase in the volume of the metal box.

24 Feb 2021 Shift1

4πa3α∆T
4a3α∆T
‌
4
3
πa3α∆T
3a3α∆T

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