Assuming the Sun to be a spherical body of radius $R$ at a temperature of $T\ K$, evaluate the total radiant powerd incident of Earth at a distance $r$ from the Sun
Where $r_{0}$ is the radius of the earth and $\sigma$ is Stefan's constant.
AIEEE 2006, Medium
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Total power radiated by sun $ = \sigma {T^4} \times 4\pi {R^2}$
The intensity of power at earth's surface$ = \frac{{\sigma {T^4} \times 4\pi {R^2}}}{{4\pi {r^2}}}$
Total power received by Earth $ = \frac{{\sigma {T^4}{R^2}}}{{{r^2}}}\left( {\pi r_0^2} \right)$
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