- Home
- Standard 11
- Physics
10-1.Thermometry, Thermal Expansion and Calorimetry
medium
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 $^{\prime} \alpha^{\prime}$. 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.
A
$3 a^{3} \alpha \Delta T$
B
$4 a ^{3} \alpha \Delta T$
C
$4 \pi a ^{3} \alpha \Delta T$
D
$\frac{4}{3} \pi a ^{3} \alpha \Delta T$
(JEE MAIN-2021)
Solution
$\Delta V = V \gamma \Delta T$
$\Delta V =3 a ^{3} \alpha \Delta T$
Standard 11
Physics
