Each side of a box | KTG & THERMODYNAMICS

JEE MAIN 2021

24-02-21 S1

Question

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 ' $a$ '. 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.

Select the correct option:

$3 a^3 \alpha \Delta T$

$4 a^3 \alpha \Delta T$

$4 \pi \mathrm{a}^3 \alpha \Delta \mathrm{~T}$

$\frac{4}{3} \pi \mathrm{a}^3 \alpha \Delta \mathrm{~T}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution