JEE PYQ: Thermal Properties Of Matter Question 4
Question 4 - 2021 (24 Feb 2021 Shift 1)
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.
(1) $\frac{4}{3}\pi a^3 \alpha \Delta T$
(2) $4\pi a^3 \alpha \Delta T$
(3) $3a^3 \alpha \Delta T$
(4) $4a^3 \alpha \Delta T$
Show Answer
Answer: (3)
Solution
Volume expansion $\gamma = 3\alpha$. $\Delta V = V \cdot \gamma \Delta T = a^3 \cdot 3\alpha \Delta T$
BETA
