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A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature 120º C , then

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Both the cube and the sphere cool down at the same rate

The cube cools down faster than the sphere

The sphere cools down faster than the cube

Whichever is having more mass will cool down faster

answer is B.

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Detailed Solution

Rate of cooling of a body

R = \frac{{\Delta \theta }}{t} = \frac{{A\varepsilon \sigma ({T^4} - T_0^4)}}{{mc}}

\Rightarrow R \propto \frac{A}{m} \propto \frac{{{\text{Area}}}}{{{\text{Volume}}}}

For the same surface area.

Volume of cube < Volume of sphere

i.e. cube cools down with faster rate

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