-DO 4. In black-body radiation, the Rayleigh-Jeans Law expresses the spectral radiance BRJ(X) of electromagnetic radiation as a function of wavelength > from a black body at a given temperature through classical arguments: BRJ(X) = K where K is a positive constant. In light of quantum mechanics, Plank's law gives the following formula: BP()) = K1 1 15 0-2 - 1 where k1, k2 are some positive constants. (a) Find lim BRJ (X). X- 0+ (b) Find lim BP(X). HW4_2021 10.013 SUTa Homework (c) Experiments show that when A approaches zero, the spectral radiance ap- proaches zero too. Do the laws above satisfy this property? (d) Find BRJ (X) lim 1-+co BP(X) (e) It's known that the two laws agree when > tends to infinity. Hence, by using the result from part (d), find a relationship between the constants K, k1 and K2