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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