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A sphere of density d, specific heat s a...

A sphere of density `d`, specific heat `s` and radius `r` is hung by a thermally insulating thread in an enclosure which is kept at a lower temperature than the sphere. The temperature of the sphere starts to drop at a rate which depends upon the temperature difference between the sphere and the enclosure. If the temperature difference is `DeltaT` and surrounding temperature is `T_(0)` then rate of fall in temperature will be
[Given that `DeltaT lt lt T_(0)`]

A

`(12sigmaT_(0)^(2)DeltaT)/(rdc)`

B

`(12sigmaT_(0)^(3)DeltaT)/(rdc)`

C

`(12sigmaT_(0)^(4)DeltaT)/(rdc)`

D

`(12sigmaDeltaT)/(rdcT_(0)^(8))`

Text Solution

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The correct Answer is:
B
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