1. Waves in plasmas. Consider a hydrogen plasma with a density of about 107 m. The plasma has the following characteristics: the electron temperature is about 3 eV and the ion temperature is 1 eV. Plot the dispersion relation for the electron plasma wave and the ion plasma wave. Comment the results. 2. Calculate the upper-hybrid and low-hybrid frequencies of an arc discharge plasma having an electron density of about 1020 m. Plot result using the magnetic field as a parameter in the range 0.001-0.1 T. Extra credit (+2 points): what is the basic condition for plasma magnetization?