The brightest star in the sky is Sirius, the Dog Star. Itis actually a binary system of two stars, the smaller one (Sirius B)being a white dwarf. Spectral analysis of Sirius B indicates that itssurface temperature is 24 000 K and that it radiates energy at a totalrate of 1.0 · 1025 W. Assume that it behaves like an ideal blackbody.(a) What is the radius of Sirius B? Express your answer in kilometersand as a fraction of our Sun’s radius (R= 6.96 · 108 m). (b) Whichstar radiates more total energy per second, the hot Sirius B or the(relatively) cool Sun with a surface temperature of T = 5800 K? Tofind out, calculate the ratio of the total power radiated by our Sun tothe power radiated by Sirius B.

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Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.