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A black metal foil is warmed by radiation from a small sphere at temperature T and at a distance d and it is found that the power received by the foil is P. If both the temperature and the distance are doubled, the power received by the foil will be:

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64P

16P

answer is C.

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Detailed Solution

$I \propto \frac{T^{4}}{d^{2}}$

$\Rightarrow \frac{I_{2}}{I_{1}} = {(\frac{2}{1})}^{4} . {(\frac{1}{2})}^{2} = \frac{4}{1}$

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