(a) Calculate the surface temperature T of the sun (in K) by assuming that it is a spherical black body with a radius of 7 !! 10^8 m. The intensity of the solar radiation at the surface of the Earth is 1.4 !! 10^3 Wm^-2 and the distance between the Sun and the Earth 1.5 !! 10^11 m. (b) Using the value of T obtained in (a), determine the wavelength λmax at which the spectral emittance R(λ, T) of the Sun (considered as a perfect black body) has its maximum value.