If the nuclear reactions on the sun increased in magnitude in order that the sun emitted black body radiation at a temperature of 6800 k, determine the following: (a) the wavelength of light that would have the maximum spectral intensity; and (b) an estimate of the average temperature of the earth that would correspond to a thermal equilibrium between the earth and sun. part b. a one meter radius hemi-sphere symmetrically covers a small area of size 5 cm2 that emits a black body at 1000 k. estimate the amount of energy received by the hemi-sphere in the angular range 40 < 0s41 from the normal of the surface.