4. In black-body radiation, the Rayleigh-Jeans Law expresses the spectral radiance BRJ(A) of electromagnetic radiation as a function of wavelength > from a black body at a given temperature through classical arguments: BRJ(A) = K where K is a positive constant. In light of quantum mechanics, Plank's law gives the following formula: BP()) = k1 15 ehx - 1 where k1, k2 are some positive constants. (a) Find lim BRJ (X). 1 -+ 0+ (b) Find lim BP(1). 1 -+ 0+ HW4_2021 7 10.013 Homework (c) Experiments show that when A approaches zero, the spectral radiance ap- proaches zero too. Do the laws above satisfy this property