As a red giant, the Sun’s luminosity will be about 2000 times greater than it is...

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Physics

As a red giant, the Sun’s luminosity will be about 2000 timesgreater than it is now. Calculate the surface temperature of theEarth under these conditions assuming that the Earth is still at 1AU and that the photosphere of the sun is well within 1 AU.

the answer should be about 1900 K but im not sure what am igetting wrong in my calculations, please help!

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The surface temperature of the earth can be calculatedapproximately from a radiative balanceWhere is the solar constant pi R2E is thecross sectional area of the earth the area which intercepts    See Answer
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