A solid cube and a solid sphere are made out of the same material and they have equal surface areas. Both are at the same temperature of 120 ° C , then

Question

A solid cube and a solid sphere are made out of the same material and they have equal surface areas. Both are at the same temperature of 120 ° C , then, both of them will cool down at the same rate, the cube will cool down slower than the sphere, the sphere will cool down slower than the cube, the information is insufficient

MARKS App · Accepted Answer

As Q = ms ∆ T dQ dt = ms dT dt ⇒ dT dt = 1 ms dQ dt Here, dT dt is the rate of cooling dQ dt ∝ A [Rate of heat transfer is directly proportional to the surface area] ∴ dT dt ∝ 1 m ⇒ Heavier will cool slower. For the same surface area, the volume of the sphere will be more than that of the cube, hence it will have more mass

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