Assuming the Sun to be a spherical body of radius $R$ at a temperature of $TK$, evaluate the total radiant powered incident of Earth at a distance $r$ from the Sun Where r0 is the radius of the Earth and $\sigma $ is Stefan's constant.

Question

Assuming the Sun to be a spherical body of radius $R$ at a temperature of $TK$, evaluate the total radiant powered incident of Earth at a distance $r$ from the Sun

Where r₀ is the radius of the Earth and $\sigma $ is Stefan's constant.

$4\pi r_0^2{R^2}\sigma {{{T^4}} \over {{r^2}}}$

$\pi r_0^2{R^2}\sigma {{{T^4}} \over {{r^2}}}$

$r_0^2{R^2}\sigma {{{T^4}} \over {4\pi {r^2}}}$

${R^2}\sigma {{{T^4}} \over {{r^2}}}$

Solution

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