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Answer to Question #63189 in Astronomy | Astrophysics for Jana

Question #63189
Anewstar lights up inside a cloud of atomic hydrogen with a constant number density of n atoms per unit volume. The star emits ionizing photons at a rate of Q¤ photons per unit time. The ionizing photons begin carving out a growing “Str¨omgren sphere” of ionized gas inside the neutral gas . a. At a distance r from the star, what is the timescale ¿ion over which an individual atom gets ionized, if the ionization cross section is ¾ion? b. If the recombination coef cient is ® ´ h¾vi, what is the timescale ¿rec for an individual proton to recombine with an electron?
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