Thermal Doppler broadening of spectral lines is caused by the movement of particles in a gas. The…

Thermal Doppler broadening of spectral lines is caused by the movement of particles in a gas. The speed of particles in a gas can be estimated by equating the kinetic energy of these particles with kT. (a) Use this information to derive an equation for the speed of the particles. (b) Use your answer of (a) to derive an equation for the Doppler broadening, i.e. A1/1 as a function of the temperature and mass of the particles (and a few constants). (c) At the surface of the Sun, with a temperature of 6,000 K, how broad is the spectral line from the transition of the n= 3 to the n= 1 energy level for electrons in hydrogen atoms, based on only thermal Doppler broadening?

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