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RHK
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Homework Statement
The spectroscopic observation of an interstellar gas cloud shows emission lines H (λ=6563 A), Hβ λ=4862 A) e OI (λ=1304 A), each one with a gaussian profile of the kind:
[itex] g(\nu)=A e^[-\frac{(\nu-\nu_0)^2}{2\sigma^2}] [/itex]
Per Hα si osserva [itex]σ_{Hα} = 1.2 \times 10^{10} Hz[/itex].
Supposing that gas is in thermodynamic equilibrium at a temperature T, uniform in the whole cloud, determine:
1) the T value;
2) the [itex]σ_{OI}[/itex] value;
3) the Full Width at Half Maximum of the Hβ line.
Homework Equations
The Doppler broadening [itex]Δ\nu/\nu = v/c[/itex].
The Virial temperature: [itex] 1/2 m v^2 = 3/2 k T[/itex].
The Attempt at a Solution
Regarding only the first point, can I proceed with the above-mentioned formulas?
If yes, I find a temperature of T≈2500 K, that is an order of magnitude higher then the typical temperature of interstellar clouds...
If not (and this is), why not?
Thanks in advance :)
PS: I don't like this formulas editor et all :D