Ph 442: High Energy Astrophysics Fall 2011 Problem Set 2 1. Rosswog & Brggen problem 2.3 u
September 9, 2011 Due September 16, 2011
2. Thomson scattering is the elastic scattering between photons and charged particles. The Thomson cross-section for electr
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 3
September 17, 2011 Due September 23, 2011
1. Over the 0.110 keV band the total photoelectric cross-section for the interstellar medium (ISM), assuming normal cosmic abundances, can be approximated b
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 4
September 24, 2011 Due September 30, 2011
1. The energy loss rate for a minimum ionizing particle with charge z passing through many different types of materials can be approximated by - dE = 2z 2 M
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 5 1. The Poisson distribution is given by this formula
October 1, 2011 Due October 7, 2011
n - e n! where P is the probability of exactly n occurrences given an expected number of occurrences . The p
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 6 1. Rosswog & Brggen problem 3.3. u
October 8, 2011 Due October 15, 2011
2. Show that the number flux of photons per unit time per unit area per unit photon energy from a spherical blackbody source w
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 7
October 14, 2011 Due October 21, 2011
1. Consider an electron traveling at speed v, Lorentz factor , past a nucleus with charge Z at an impact parameter b. Assume that the electron and nucleus are i
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 8 1. Rosswog & Brggen problem 4.1 u
October 28, 2011 Due November 4, 2011
2. In this problem and the next one you will be exploring the way different spectral forms appear to an observer when viewed b
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 9
November 11, 2011 Due November 18, 2011
1. (a) The coupled rate equations that describe the time evolution of the ionization fractions Fi of an atomic species in a hot plasma are dFi = i-1 Fi-1 - [i
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 10
November 26, 2011 Due December 2, 2011
1. (a) Rosswog & Brggen problem 2.4 u (b) Evaluate eqns. 2.134, 2.135, and 2.136 in the textbook for this problem under the strong shock condition (M 1) and e
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 11
December 6, 2011 Due December 13, 2011
1. Determine the initial spin period of the Crab pulsar assuming a constant braking index n = 2.509 and an explosion date of 1054. The spin period and period
Ph 442: High Energy Astrophysics Fall 2011 Problem Set 1 1. Rosswog & Brggen problem 1.2 u 2. Rosswog & Brggen problem 1.10 u 3. Rosswog & Brggen problem 1.13 u
September 2, 2011 Due September 9, 2011
Consider a charge q which has always been at rest at the origin until time t = 0. The electric eld lines clearly point away from the origin in all directions. At t = 0 we brie y apply a uniform acceleration which brings the velocity of the charge up to v