HOW DO you calculate intensity of black-body given wavelength and temperature?

The intensity of a black body can be calculated using Planck's law, which describes the spectral radiance of a black body at a given temperature ( T ) and wavelength ( \lambda ). The formula is given by:

[ I(\lambda, T) = \frac{2hc^2}{\lambda^5} \frac{1}{e^{\frac{hc}{\lambda kT}} - 1} ]

where ( I(\lambda, T) ) is the intensity, ( h ) is Planck's constant, ( c ) is the speed of light, and ( k ) is Boltzmann's constant. By substituting the desired temperature and wavelength into this formula, you can determine the intensity of the black body radiation at that wavelength.