Optical depth using Bremsstahlung emission coefficient

[Kayla Martin]

Homework Statement

I am a bit confused how to go about this question.

Relevant Equations

See below.

Equations I think may be relevant:

 

[weak_phys]

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!

 

[Kayla Martin]

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!

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]

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?

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.