# physics

The amount of radiant power produced by the sun is approximately 3.9 x 1026 W. Assuming the sun to be a perfect blackbody sphere with a radius of 6.96 x 108 m, find its surface temperature (in kelvins).

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1. 5797

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2. The Radient power u of a black body is given by
u = sAT^4 known as Stefan-Boltzmann Law.

Here s is called Stefan Constant and its value is $5.67*10^{-8}W/m^2/K^4$( sigma is used in place of s ), A is the sutface area of the black body and T is the absolute temprature of the black body.

$T^4 = u/(sA) = 3.9*10^{26}/[5.67*10^{-8}*3.14*(6.96*10^8)^2]$

Find fourth root of this and you get T = 5800 K

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