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Q.

A sphere, a cube and a thin circular plate are heated to the same temperature. If they are made of same material and have equal masses then which one of the three objects cools faster

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a

sphere

b

cube

c

circular plate

d

cannot be decided

answer is C.

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Detailed Solution

According to Stefan's law, the rate of cooling is given by−dTdt=eσAmcT4−T04or    −dTdt∝ASince the surface area of the plate is maximum for the given mass and hence, the circular plate cools the fastest.
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A sphere, a cube and a thin circular plate are heated to the same temperature. If they are made of same material and have equal masses then which one of the three objects cools faster