(a) Calculate the central wavelength of the emission lines Hβ λ4961.32 Å and CO λ2.3 μm. (b) Calculate the Doppler broadening of the two emission lines in part (a). Express your answer in both kinematic (km/s) and wavelength units. (The mass of atomic hydrogen = 1.0079u, where u = atomic mass unit = 1.66053x10-27 kg. The mass of CO is 28u.)

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Consider two gas clouds, one almost fully ionized at a temperature of 10000 K and emitting in Hβ λ4961.32 Å, and the other one mostly neutral at a temperature of 1000 K and emitting in CO λ2.3 μm. Both gas clouds are moving away from the observer at 1750 km/s.

(a) Calculate the central wavelength of the emission lines Hβ λ4961.32 Å and CO λ2.3 μm.

(b) Calculate the Doppler broadening of the two emission lines in part (a). Express your answer in both kinematic (km/s) and wavelength units. (The mass of atomic hydrogen = 1.0079u, where u = atomic mass unit = 1.66053x10-27 kg. The mass of CO is 28u.)

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