The radius of the sun is 6.96*10^8 m.At the distance of the earth ,1.50*10^11,the intensity of solar radiation measured by a moving satellite above the atmosphere is 1370W/m2.what is the temperature of the sun's surface?

Question

anonymous · Answer

For this you need to use the equation: 
$$L=4*\pi*R^2*\sigma*T^4$$
Where R is the radius of the perfect sphere (the sun is ALMOST a perfect sphere) and where sigma is the Stefan-Bolzmann constant and where L is the luminosity of the star.
This you can find by using the Observed flux reading from the satellite. (1370W/m2) 
You use the equation, called the inverse square law:
$$L=f*4*\pi*r^2$$
Where f is the Observed flux reading, and r is the distance to the object
Then you can isolate T in the first equation and insert L, R and sigma, and you got the temperature.