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Question: Answered & Verified by Expert
If the temperature of a black body increases from \(7^{\circ} \mathrm{C}\) to \(287^{\circ} \mathrm{C}\) then the rate of energy radiation increases by
PhysicsThermal Properties of MatterAIIMSAIIMS 2007
Options:
  • A \(\left(\frac{287}{7}\right)^4\)
  • B 16
  • C 4
  • D 2
Solution:
1086 Upvotes Verified Answer
The correct answer is: 16
The energy radiated per unit time by a black body at absolute temperature \(T\) is given by \(H=A \sigma T^4\).
where \(A\) is the area of a black body
or \(\frac{H^{\prime}}{H}=\frac{[(287+273) \mathrm{K}]^4}{[(7+273) \mathrm{K}]^4}=\left[\frac{560}{280}\right]^4=16\)

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