This question is about stars and their radiation. (The Stefan-Boltzmann constant is σ=5.67×10−8 W m−2 K−4\sigma = 5.67 \times 10^{-8} \text{ W m}^{-2} \text{ K}^{-4}σ=5.67×10−8 W m−2 K−4.)
Use the data below to show that the luminosity of the star Sirius A is about 9.5×1027 W9.5 \times 10^{27} \text{ W}9.5×1027 W.
The blue supergiant Rigel has a luminosity 32,000 times greater than that of Sirius A. It has a diameter 18 times greater than that of Sirius A.
Calculate the surface temperature TTT of Rigel.