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Mechanical Properties Of Fluids

Question
CBSEENPH11020725

A block body t 227o C radiates heat at the rate of 7 cal cm-2 s-1. At  a temperature of 727o C, the rate of heat radiated in the same units will be 

  • 60

  • 50

  • 112

  • 80

Solution

C.

112

Apply Stefan's law of radiation.
straight E space equals σT to the power of 4
straight E subscript 1 over straight E subscript 2 space equals space open square brackets straight T subscript 1 over straight T subscript 2 close square brackets to the power of 4
straight E subscript 2 space equals space 7 space open square brackets fraction numerator 273 plus 727 over denominator 273 plus 227 end fraction close square brackets to the power of 4
space equals open parentheses 1000 over 500 close parentheses to the power of 4 space straight x space 7
equals space 112 space cal space cm to the power of negative 2 end exponent space straight s to the power of negative 1 end exponent