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, K 1 and K 2 have values of 851 W m 2 sr 1 m 1 and 1347 K respectively Hence calculate the brightness temperature of a body whose spect...

K1 851 W m2 sr1 m1 K2 1347 K To calculate ...

The Planck formula can be inverted to obtain the brightness temperature from the spectral radiance as follows:

Question:

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.