Transmission Of Heat Question 345

Question: 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 $ 200{}^\circ C $ . Which of these objects will cool slowest when left in air at room temperature?

Options:

A) the sphere

B) the cube

C) the circular plate

D) all will cool at same rate

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Rate of Cooling $ \propto $ Surface area and for a given mass, surface area of sphere is minimum.