Thermal Properties of Matter

JEE Main level, single correct, medium

30 of 126

Question 30 of 126

Each side of a box made of metal sheet in cubic shape is aa at room temperature TT, the coefficient of linear expansion of the metal sheet is α\alpha. The metal sheet is heated uniformly, by a small temperature ΔT\Delta T, so that its new temperature is T+ΔTT+\Delta T. Calculate the increase in the volume of the metal box.

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Answer: (B) 3a3αΔT3{a}^{3}\alpha \Delta T

ΔV=VγΔT\Delta V=V\gamma \Delta T
ΔV=3a3αΔT\Delta V=3{a}^{3}\alpha \Delta T

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