Q.

A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature 1200C, then

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a

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

b

The cube cools down faster than the cube

c

The sphere coolds down faster than the cube

d

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 = ∆θt = Aεσ(T4-T04)mc⇒ R directly proportional to Am directly proportional to AreaVolumeVolume of cube < Volume of sphere⇒ Rcube > Rsphere i.e., cube, cools down with faster rate
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