GATE ME 2017 Set 2 — Question 19
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Heat Transfer → Radiation → Stefan-Boltzmann & Wien's Laws
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Question
The emissive power of a blackbody is . If its absolute temperature is doubled, the emissive power becomes
Correct answer
(D) 16 P
Solution
According to the Stefan-Boltzmann law, the total emissive power () of a blackbody is directly proportional to the fourth power of its absolute temperature ():where is the Stefan-Boltzmann constant.Given:
Initial emissive power,
Initial temperature,
Final temperature, We can write the ratio of emissive powers as:Thus, the emissive power becomes .
Initial emissive power,
Initial temperature,
Final temperature, We can write the ratio of emissive powers as:Thus, the emissive power becomes .
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