The Planck formula can be inverted to obtain the brightness temperature from the spectral radiance as follows:
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The Planck formula can be inverted to obtain the brightness temperature from the spectral radiance as follows:
Show that, for observations at a wavelength of 10.7 ?m, K1 and K2 have values of 851 W m-2 sr-1 ?m-1 and 1347 K respectively. Hence calculate the brightness temperature of a body whose spectral radiance is 5.84 W m-2 sr-1 ?m-1 at a wavelength of 10.7 ?m.
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