Wien's Law, (lambda_{max } T=2.884 times 10^{-3} mathrm{mK}), was derived from Planck's Law for blackbodies. Real objects

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Wien's Law, \(\lambda_{\max } T=2.884 \times 10^{-3} \mathrm{mK}\), was derived from Planck's Law for blackbodies. Real objects at a given temperature also exhibit maximum emission at a particular wavelength. If a blackbody and a graybody displayed their maximum emission at the same wavelength, would the temperature of the graybody necessarily be higher or lower than that of the blackbody? If so, would the constant in Wien's Law increase or decrease?

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