Q.
A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of $1000℃$. Which one of these will cool first
A) Plate
B) Sphere
C) Cube
D) None of these
Explanation
(a) Rate of cooling $\frac{\mathrm{\Delta}\theta}{t} = \frac{A\varepsilon\sigma(T^{4} - T_{0}^{4})}{mc} \Rightarrow \frac{\mathrm{\Delta}\theta}{t} \propto A$. Since area of plate is largest so it will cool fastest
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.