GATE ME 2015 Set 2 — Question 49
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Heat Transfer → Radiation → Stefan-Boltzmann & Wien's Laws
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Question
The total emissive power of a surface is at a temperature and at a temperature , where the temperatures are in Kelvin. Assuming the emissivity of the surface to be constant, the ratio of the temperatures is
Correct answer
(C) 0.803
Solution
According to the Stefan-Boltzmann law, the total emissive power of a surface is given by , where is the emissivity, is the Stefan-Boltzmann constant, and is the absolute temperature in Kelvin.Given that the emissivity is constant, we have:
Therefore, the ratio of emissive powers at two different temperatures is:Substituting the given values and :Thus, the correct option is (C).
Therefore, the ratio of emissive powers at two different temperatures is:Substituting the given values and :Thus, the correct option is (C).
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