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Q.

A Black metal foil receives radiation of power P from a hot sphere at absolute temperature T, kept at a distance d.  If the temperature is doubled and distance is halved, then Power will be

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a

64P

b

16P

c

4P

d

8P

answer is A.

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Detailed Solution

P=eAσT4d2PαT4d2P1P2=T14T24×d22d12P1P2=116×14P2=64P
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A Black metal foil receives radiation of power P from a hot sphere at absolute temperature T, kept at a distance d.  If the temperature is doubled and distance is halved, then Power will be