HW11 Solutions
Question 3   (1 point) Quasars can be 1000 times more luminous than a galaxy. The absolute magnitude of such a luminous quasar would be about M = -28.5. If the black hole in the center of our galaxy became a quasar, what would the apparent magnitude of the galactic core be?
a. -13.9   b.19   c. 0   d.-4.6   e.8.5   
We need to use the equation: m – M = -5 + 5 log d(pc)
d = 8500 pc, M = -28.5, so: m + 28.5 = -5 + 19.6
m = -13.9
 Question 4   (1 point) A quasar is observed to have a redshift z=0.5. What recessional velocity does this correspond to?
a. 4% of the speed of light.   b. 38% of the speed of light.   c. 50% of the speed of light.   d. 77% of the speed of light.   e. 99% of the speed of light.   
v/c = ((z+1)2-1)/((z+1)2+1) = (2.25-1)/(2.25+1) = (1.25)/(3.25) =  0.38