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Homework #8
•Q 1:  If the inner accretion disk around a black hole has a temperature of 1 million K, at what wavelength will it radiate the most energy? 
•Use Wien’s Law: λpeak = 3 million nm K/T = 3 million nm/1 million
•                             λpeak = 3 nm
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•Q 2:  Which of the below sequences shows objects with increasing densities?
•Density is mass/volume, so...
•Red Giant -- White Dwarf -- Neutron Star -- Black Hole
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•Q 3:  The black hole in the center of our Milky Way galaxy seems to be about 2.6 million times the mass of the sun. What is the radius of its event horizon?
•Rs = 2GM/c2
•Rs = 7.8 million km, which is about 11 times the solar radius and 5% of an AU.
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•Q 4:  Assume a white dwarf and neutron star have the same temperatures. White dwarfs are hard to spot because they are small (about the size of Earth). Neutron stars are smaller. How much fainter are they?
•Use Steffan-Boltzmann Law, or just the Scaling law for stars:  L = 4πR2T4
•LWD/LNS = (RWD/RNS)2 = (radius earth=6000 km/10 km)2
•LWD/LNS = (600 x 600) = 360000 times (round to 400000)
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•Q 5:  Why the "millisecond pulsars“?  Because the neutron star:
•1. Is spinning hundreds of times per second.