Ayame17
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Help Needed! Optical extinction
Spherical cloud (gas to dust ratio 100) with mass = 1 M(sun), diameter = 1pc. Radial density can be described by power law (see below). Determine the maximum optical extinction, ie. the function [tex]A_{v}(\alpha)[/tex].
Power law: [tex]\rho(r) \propto r^{-\alpha}[/tex]
You may use [tex]N(H)=6.93*10^{21} cm^{-2}*A_{v}/R_{v}[/tex] and [tex]R_{v}=3[/tex]
I've looked up column density and found extinction values calculated by flux, but simply can't see where to even begin. A nudge in the right direction would be so very helpful!
Homework Statement
Spherical cloud (gas to dust ratio 100) with mass = 1 M(sun), diameter = 1pc. Radial density can be described by power law (see below). Determine the maximum optical extinction, ie. the function [tex]A_{v}(\alpha)[/tex].
Homework Equations
Power law: [tex]\rho(r) \propto r^{-\alpha}[/tex]
You may use [tex]N(H)=6.93*10^{21} cm^{-2}*A_{v}/R_{v}[/tex] and [tex]R_{v}=3[/tex]
The Attempt at a Solution
I've looked up column density and found extinction values calculated by flux, but simply can't see where to even begin. A nudge in the right direction would be so very helpful!
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