The emissive power of certain black bodies is P. If the temperature of the black body is tripled, the emissive power will become .
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A.
81P
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B.
27P
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C.
9P
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D.
3P
Correct Answer:
A. 81P
Explanation:
According to the Stefan-Boltzmann law, the total emissive power of a black body is directly proportional to the fourth power of its absolute temperature (P ∝ T⁴). If the temperature is tripled (3T), the new emissive power becomes (3)⁴ times the original power, which is 81P. Therefore, increasing the absolute temperature by a factor of three results in an 81-fold increase in radiant energy.
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