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Q.

A sphere, a cube and a disc all  of the same material, quality and volume are heated to  6000C and left in  air. Which of these  will have the lowest rate of cooling?

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a

All will  have same rate

b

Disc

c

Sphere

d

Cube

answer is A.

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Detailed Solution

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When a body cools by radiation, according to Stefan’s law,       dTdt=eAσmc(T4T04)
Here,  m,c,e,T and  T0 are same for all bodies; so dTdt   area A
Now,  as for a given mass, area of the sphere is minimum, hence it will have the lowest rate of cooling.

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