HW #8 Solutions
•Question 12   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 13   IF we were to observe that the Hubble constant, H, was larger for objects at greater distances, then that would imply that
•a. the expansion rate of the universe is accelerating.  
•b. the expansion rate of the universe is slowing.   (MISGRADED!)
•c. the expansion rate is constant with time.  
•
•OK, the easiest way to think of this is to realize that the Hubble law says that v = Hxd, so at larger distances, the slope would become STEEPER (remember, H is just the slope of the plot of d vs. v).  A steeper slope means that the velocity changes more quickly as the distance changes.  Larger distances mean earlier times.  So, the expansion rate was faster in the past than it is now.  That would mean that the expansion rate must be slowing.  But it is an ill-posed question I inherited from another professor since you can get this behavior for all sorts of universes.  It’s complicated.  For instance, for constant expansion rate, t = 1/H, so in the early universe (i.e. large distances), the universe was younger and H had to be bigger!