Question

A sphere, a cube and a thin circular plate, all of same material
and same mass are initially heated to same high temperature.
(a) Plate will cool fastest and cube the slowest
(b) Sphere will cool fastest and cube the slowest
(c) Plate will cool fastest and sphere the slowest
(d) Cube will cool fastest and plate the slowest

Answer 1

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$\longrightarrow$. The circular plate will cool fastest and the sphere will cool the slowest. The rate of heat transfer is directly proportional to the surface area. And the circular plate has a greater surface area. Hence, circular plate will cool faster.

$\implies$

The circular plate has maximum surface area and as such it cools the fastest. For a given volume (mass in this case),a sphere has the least surface area and accordingly cools the slowest.

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