Q.

A sphere of density ‘d’, specific heat capacity ‘c’ and radius ‘r’ is hung by a thermally insulating thread in an enclosure which is kept at lower temperature than the sphere. The temperature of the sphere starts to drop at a rate which is proportional to

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a

c / r3d

b

1 / r3dc

c

3r3dc

d

1 / rdc

answer is D.

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Detailed Solution

msdθdt=KAθ−θ043πr3d×cdθdt=K4πr2θ−θ0dθdt∝1rdc
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A sphere of density ‘d’, specific heat capacity ‘c’ and radius ‘r’ is hung by a thermally insulating thread in an enclosure which is kept at lower temperature than the sphere. The temperature of the sphere starts to drop at a rate which is proportional to