Given that the distribution du/dε peaks at εmax = 2.82kT, we can write an expression in the form λmax = C/T , where λmax is now the wavelength at which the distribution du/dε peaks and C is a constant.
(a) What is the value of the constant C in units of mm K?
(b) At what wavelength does the energy distribution du/dε peak for the photons of the 2.735 K blackbody radiation left over from the primordial Big Bang that initiated our present Universe?
(c) At what wavelength does the energy distribution du/dε from our Sun peak, if the visible surface acts like a blackbody of temperature 5800 K?
(d) What are the answers to parts (b) and (c) for the distribution in wavelengths, du/dλ?