High Energy Astrophysics - Spring 2010
Homework #6 - due April  1



1. Derive equations for the ratio of pressures and temperatures at a shock front.

2. If the temperature of a 2000 year old SNR is 107 K and the shock speed is 2,000 km/s, what will the temperature and shock speed be when the SNR is 5000 years old?

3. Suppose there are N electrons and N protons in a star of radius R.  Derive the Chandrasekhar limit for this star assuming that the density is uniform throughout the star and estimating the Fermi energy of the electrons using Heisenberg's uncertainty principle taking the confinement length to be Delta x = (number density)^(-1/3).