Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature toC, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is where $\sigma $ is the Stefan's constant.

Question

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t^oC, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is
where $\sigma $ is the Stefan's constant.

${{{r^2}\sigma {{\left( {t + 273} \right)}^4}} \over {4\pi {R^2}}}$

${{16{\pi ^2}{r^2}\sigma {t^4}} \over {{R^2}}}$

${{{r^2}\sigma {{\left( {t + 273} \right)}^4}} \over {{R^2}}}$

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

Solution

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