Help with a simple exercise in astrophysics.

[Xalkias]

<Moderator's note: Moved from a technical forum and thus no template.>

So i began studying on my own for my astrophycis class that will start on 2 weeks and i have trouble solving an exercise. So the exercise goes as follows: given that m_bol=-2.5log(∫f_λdλ)+C_bol and m_bol=-26.83 for sun. Show that C_bol=-18.99 . I'm stuck and i can't find any hint from the book that I am studying.
Please help. Thanks

 

[lomidrevo]

first of all, I think you should post your question as a homework problem here.
secondly, before we are allowed to help you, you should show some effort on your side, maybe an attempt to solve the problem, so we can see where exactly is the blocking point.
Which part is not clear to you? What equations related to the apparent magnitude are available to you?

 

[Xalkias]

I'm sorry I'm new to this forum.
Ok so In my mind I have to find f and then solve for C. So for the sun : ∫fdλ= L/4πd^2 (d=1AU) but then L is unknown so I can't calculate F. Temperature is not given so I can't use that either to calculate F. What should I do

 

[lomidrevo]

I'm sorry I'm new to this forum.
Ok so I know for the sun : ∫fdλ= L/4πd^2 (d=1AU) but then L is unknown so I can't calculate F. Temperature is not given so I can't use that either to calculate F.

Great, you actually know the solution :) I think in many astrophysics problems like this one, you won't be given Solar luminosity or irradiance each time in the problem definition. I am pretty sure you can find at least one of these values in your book. Can you?

 

[Xalkias]

Ohh Yes there is a lists of all luminosities in the book but I thought they would mention if this lists was needed.
Thank you for your time.