The radio galaxy Cygnus A possesses a lobe of plasma that is detected by both radio and X-ray observatories. The temperature of the X-ray-emitting plasma is 4 keV and the number density of the particles in the plasma is 4x10% m-3. Assume that the plasma is composed solely of completely ionized hydrogen, so the number densities of protons and electrons per cubic meter are identical. * the given number density of particles corresponds to the number density of hydrogen nuclei, so you can safely assume that the number density of electrons is equivalent to this number density a) Compute the collision frequency in Hertz between electrons and ions in the plasma. b) Compute the Debye wavelength in meters of the plasma. c) Compute the plasma parameter of the plasma.

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The radio galaxy Cygnus A possesses a lobe of plasma that is detected by both radio
and X-ray observatories. The temperature of the X-ray-emitting plasma is 4 keV and the
number density of the particles in the plasma is 4x103 m-3. Assume that the plasma is
composed solely of completely ionized hydrogen, so the number densities of protons and
electrons per cubic meter are identical.
* the given number density of particles corresponds to the number density of hydrogen nuclei, so you
can safely assume that the number density of electrons is equivalent to this number density
a) Compute the collision frequency in Hertz between electrons and ions in the plasma.
b) Compute the Debye wavelength in meters of the plasma.
c) Compute the plasma parameter of the plasma.
Transcribed Image Text:The radio galaxy Cygnus A possesses a lobe of plasma that is detected by both radio and X-ray observatories. The temperature of the X-ray-emitting plasma is 4 keV and the number density of the particles in the plasma is 4x103 m-3. Assume that the plasma is composed solely of completely ionized hydrogen, so the number densities of protons and electrons per cubic meter are identical. * the given number density of particles corresponds to the number density of hydrogen nuclei, so you can safely assume that the number density of electrons is equivalent to this number density a) Compute the collision frequency in Hertz between electrons and ions in the plasma. b) Compute the Debye wavelength in meters of the plasma. c) Compute the plasma parameter of the plasma.
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