The brightness temperature of a body is the temperature at which an absolutely black body has, at a certain wavelength l, the same monochromatic brightness of radiation as a given body. Find the relationship between the true temperature T and the brightness temperature Tj for a gray body with emissivity el,T. Assume that in the spectral region under consideration, the monochromatic energetic luminosity can be calculated using the Wien formula Bl,Tя = eC2/lTя.

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