Visual Luminosity and flux of sun.

[~Sam~]

Homework Statement

Some values for the Sun are, bolometric luminosity Lbol = 3.83 x 10^26 W, bolometric correction = –0.07, and radius = 6.96 x 105 km.

Calculate the visual luminosity, LV, of the Sun and the flux, FV, radiated into space by the solar surface.

Homework Equations

M₁-M₂=-2.5 log (F₁/F₂)

The Attempt at a Solution

I have thought of several ways to do this..first way is to use bolometric luminosity and radius to calculate bolometric magnitude using formula M=-2.5 log (F). Since I know bolometric correction, I can find M_v, and then use the same formula to find visual flux, which in turn, find visual luminosity. Or could I just do it with M₁-M₂=-2.5 log (Luminosity₁/Luminosity₂). Actually...wait...couldn't i just use BC= M1-M2=-2.5 log (F₁/F₂)..Find the flux (F1) and from there get my luminosity?

 

[BigJDubs]

A:It's actually very simple. You have the bolometric luminosity, and you have the bolometric correction. The visual luminosity is just the bolometric luminosity multiplied by 10 raised to the power of the bolometric correction. The flux emitted by the solar surface is just the luminosity divided by 4π times the square of the radius.