HW12 Solutions
Question 5   (1 point) The cosmic background radiation comes from a time in the evolution of the universe when
a."inflation" was occuring.   b. electrons began to recombine with nuclei to form neutral atoms.   c. gamma rays had enough energy to destroy nuclei.   d. gravity began to pull material together to form galaxies.   
Question 6 The Hubble constant, which we measure to be about 72 km/s/Mpc, describes the current expansion rate of the local universe. We think the age of the universe is about 14 billion years, in the context of the Big Bang theory. If the Hubble constant were much larger, say 500 km/s/Mpc as Edwin Hubble first reported, then how would our estimate of the age of the universe change?
a.It would still be about the same.
b.It would be larger, about 7 times larger (500/72), or nearly 100 billion years old.
c.It would be much smaller, about 7 times smaller, or about 2 billion years old.
Age is inversely proportional to the Hubble constant for essentially all models.  Age ~ 1/H.  So if the Hubble constant is larger, the time is smaller.  Under this assumption, Age = 1/H.
Age(H=500)/Age(H=72) = (1/500 km/s/Mpc)/(1/72 km/s/Mpc)
Age(H=500)/13.6 Gyrs = 72/500
Age(H=500) = 2 Gyrs
As usual, pick the closest answer.  We don’t always know numbers like H with high precision.