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Question: Answered & Verified by Expert
A black body at a temperature of 227 °C radiates heat at the rate of 5 cal cm-2 s-1. At a temperature of 727 °C the rate of heat radiated per unit area in cal cm-2s-1 is
PhysicsThermodynamicsJEE Main
Options:
  • A 400
  • B 80
  • C 40
  • D 15
Solution:
2606 Upvotes Verified Answer
The correct answer is: 80
According to Stefan's law radiant energy emitted by a perfectly black body per unit area per sec (ie, emissive power of black body) is directly proportional to the fourth power of its absolute temperature ie ET4

E1E2= T14T24

5E2= (273+227)4(273+727)4 

E2=5×10005004 

= 5×16=80 cal cm-2s-1

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