Sirius B. The brightest star in the sky is Sirius, the Dog Star. It is actually a binary system of two stars, the smaller one (Sirius B) being a white dwarf. Spectral analysis of Sirius B indicates that its surface temperature is 24,000 K and that it radiates energy at a total rate of l.0 x 1025 W. Assume that it behaves like an ideal blackbody.
(a) What is the total radiated intensity of Sirius B?
(b) What is the peak-intensity wavelength? Is this wavelength visible to humans?
(c) What is the radius of Sirius B? Express your answer in kilometers and as a fraction of our sun's radius.
(d) Which star radiates more total energy per second, the hot Sirius B or the (relatively) cool sun with a surface temperature of 5800 K? To find out, calculate the ratio of the total power radiated by our sun to the power radiated by Sirius B.