- #1
Kayla Martin
- 7
- 0
- Homework Statement
- I am a bit confused how to go about this question.
- Relevant Equations
- See below.
Equations I think may be relevant:
Optical depth using Bremsstahlung emission coefficient
- Thread starter Kayla Martin
- Start date
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SUMMARY
The discussion focuses on calculating optical depth using the Bremsstrahlung emission coefficient, specifically at the turnover frequency where τ=1. Participants emphasize the importance of plotting log I versus log ν to visualize this relationship. By substituting τ=1 into the optical depth equation and rearranging for GHz^(-2.1), the results simplify, confirming the expected outcome. This method provides a clear approach to understanding the optical depth in astrophysical contexts.
PREREQUISITES- Understanding of optical depth equations
- Familiarity with Bremsstrahlung emission coefficients
- Knowledge of logarithmic functions and their applications in astrophysics
- Basic grasp of frequency measurements in GHz
- Study the derivation of optical depth equations in astrophysics
- Learn about Bremsstrahlung processes in plasma physics
- Explore the significance of turnover frequency in emission spectra
- Investigate advanced plotting techniques for astrophysical data analysis
Astronomy students, astrophysicists, and researchers interested in the analysis of emission spectra and optical depth in cosmic phenomena.
Equations I think may be relevant:
- #2
weak_phys
- 8
- 3
My god, something I can actually help with! (I'm an infrequent visitor here who just sponges you guys with my own questions!)
So hopefully in your "class" it was explained how at the turnover frequency that tau=1 (this can be seen better by plotting the log I vs log nu
Putting that (tau=1) into the optical depth equation (last on your pic), and re-arrange the equation for GHz ^ (-2.1), now put that back into the same optical depth equation (in other words you are substituting your result for the GHz ^ (2.1) when the optical depth was 1. You'll see everything cancel leaving just the result the question asks for`. Hope that helps!
So hopefully in your "class" it was explained how at the turnover frequency that tau=1 (this can be seen better by plotting the log I vs log nu
Putting that (tau=1) into the optical depth equation (last on your pic), and re-arrange the equation for GHz ^ (-2.1), now put that back into the same optical depth equation (in other words you are substituting your result for the GHz ^ (2.1) when the optical depth was 1. You'll see everything cancel leaving just the result the question asks for`. Hope that helps!
- #3
Kayla Martin
- 7
- 0
Am I able to direct message you to ask you another question that relates to this part seeing as you seem to know what you're doing?weak_phys said:
- #4
weak_phys
- 8
- 3
Of course, i don't know what time zone you're in but if i go to sleep before i hear from you i'll be sure to check in tomorrow.Kayla Martin said:
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