Answer to Question #146013 in Astronomy | Astrophysics for Abdul Salam

Question #146013
When the Sun was a protostar, it had a maximum luminosity about 1000 times its present luminosity and a surface temperature about 1000K. What was its radius? Assume that the star radiates like a blackbody.
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Expert's answer
2020-11-24T05:59:37-0500
L=4πR2σT4LL=R2T4R2T41000=R2(5800)4(696340103)2(1000)4R=2.22108 mL=4\pi R^2\sigma T^4\\\frac{L'}{L}=\frac{R'^2T^4}{R^2T'^4}\\1000=\frac{R'^2(5800)^4}{(696 340\cdot10^3)^2(1000)^4}\\R'=2.22\cdot10^8\ m


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