The giant massive star Rigel (in the constellation Orion) has a surface temperature of 11,000 K. Assume that Rigel is a black body radiator.
(a) Calculate the wavelength at which Rigel's radiant power (in joules/second or watts) will be maximised or peaked.
(b) Comment on the expected visible colour of the star. (Note: if the peak wavelength is outside the visible wavelength range, you're asked to comment on the visible colour(s) closest to this peak.)
(c) If the radius of Rigel is 75 times larger than the Sun's radius (Rsun = 7.0 × 10^8 m), calculate the total radiant power (joules/second or watts) of Rigel and compare it to that of the Sun at Psun = 3.8 × 10^26 W