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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.

  • A$\frac{{{R^2}\sigma {T^4}}}{{{r^2}}}$
  • B$\frac{{4\pi {r_0}^2{R^2}\sigma {T^4}}}{{{r^2}}}$
  • C$\;\frac{{\pi {r_0}^2{R^2}\sigma {T^4}}}{{{r^2}}}$
  • D$\;\frac{{{r_0}^2{R^2}\sigma {T^4}}}{{4\pi {r^2}}}$
AIEEE 2006, Medium
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