(Wien's displacement law)
(a) Show that the maximum of the Planck energy density (1.9) occurs for a wavelength of the form λmax=b/T, where T is the temperature and b is a constant that needs to be estimated.
(b) Use the relation derived in (a) to estimate the surface temperature of a star if the radiation it emits has a maximum intensity at a wavelength of 446 nm. What is the intensity radiated by the star?
(c) Estimate the wavelength and the intensity of the radiation emitted by a glowing tungsten filament whose surface temperature is 3300 K.