What is the relative luminosity in solar units of a star, Ask an Expert

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What is the relative luminosity (in solar units) of a star with the same surface temperature as the Sun but

(a) only one-tenth the radius?

(b) twice the radius?

(c)What is the relative luminosity of a star which is the same size as the Sun but has twice the surface temperature (11600 K, or 12000 K)?

(d) only one-half the surface temperature (2900 K)?

(e) Finally, what is the relative luminosity of a star with one hundred times the Sun's radius, but only one-half the surface temperature (2900 K)?

(f) only one-hundredth its size, but twice the surface temperature (11600 K, or 12000 K)?

look http://astronomy.nmsu.edu/geas/labs/hrdiagram//hrexplorer.swf

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