HW #8 Solutions
•Question 10   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.   
•Use the relativistic Doppler equation: v/c = [(z+1)2 -1]/[(z+1)2+1]
•V = 0.38 c
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•Question 11   If the expansion rate is constant (no acceleration or deceleration) and H equals 100 km/sec/Mpc (not the real value) then what would be the age of the universe? (Hint: you can either derive the answer directly from the appropriate equations, or you can find the answer by comparing this value of H to the more realistic one of 72 km/sec/Mpc which implies 13.6 billion years.)
a.5 billion years b.10 billion years c.15 billion years d. 20 billion years 
•This is just the simple-minded solution, time = 1/H.  Working it out on the slide gives the right answer, 10 billion years, which is 72% of 13.6 billion years.
•Also note that even for “constant” expansion the Hubble constant would be larger in the past.