Physics 3002, Problem Set 9, due 4/15/09 Lam Hui
1. Ryden problem 7.7. In this problem, you are asked to show that the total physical area (measured today) of a sphere with a radius r (here, r refers
Physics 3002, Problem Set 11, due 4/29/09 Lam Hui
1. This is based on Ryden problem 9.4. Find the luminosity distance dL to the surface of last scattering. You can assume the redshift of the last scat
Physics 3002, Problem Set 10, due 4/22/09 Lam Hui
1. Ryden problem 8.3. Express your results in arcseconds. 2. In class, we derived an expression for the magnication of the two images of a point mass
Physics 3002 Problem Set 6, due 3/25/09 Lam Hui
1. Ryden problem 6.4. 2. Ryden problem 3.3. 3. In class, we have derived the (spatial) metric for the two-dimensional closed universe (known as a 2-sphe
Physics 3002 Problem Set 5, due 3/4/09 Lam Hui
1. Ryden problem 6.6. 2. Derive the condition on ,0 and m,0 such that one has a big bounce solution to the Friedmann equation. This is a universe that in
Physics 3002 Problem Set 3, due 2/18/09 Lam Hui
Solve the Friedmann equation for a(t) for a at universe (k = 0, or = 0 in Rydens notation) which is lled with some form of stu with an equation of state
Physics 3002 Problem Set 2, due 2/11/09 Lam Hui
1. Suppose the equation of state of some form of stu is P = w, where w is a constant. Derive from the rst law of thermodynamics, as discussed in class,
Physics 3002 Problem Set 1, due 2/4/09 Lam Hui
1. In class, we discussed several ways in which the Olbers paradox can be resolved. In our universe, it turns out the resolution is mainly through the ni