GATE ME 2020 Set 2 — Question 60
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Heat Transfer → Radiation → Stefan-Boltzmann & Wien's Laws
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Question
The spectral distribution of radiation from a black body at has a maximum at wavelength . The body cools down to a temperature . If the wavelength corresponding to the maximum of the spectral distribution at is times of the original wavelength , then the temperature is ________ K (round off to the nearest integer).
Correct answer
2499 to 2501
Solution
According to Wien's displacement law, the product of the absolute temperature of a black body and the wavelength at which the spectral emissive power is maximum is constant:Therefore, for two different states:Given and :The temperature is .
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