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Assuming the sun to have a spherical outer surface of radius $r$, radiating like a black body at temperature $t^{\circ} \mathrm{C}$, 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
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where $\sigma$ is the Stefan's constant
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Verified Answer
The correct answer is:
$\frac{r^2 \sigma(t+273)^4}{R^2}$
$\begin{aligned}
\text { Solar constant } & =\frac{\sigma\left(4 \pi r^2\right) T^4}{\left(4 \pi R^2\right)} \\
& =\frac{\sigma r^2(t+273)^4}{R^2}
\end{aligned}$
\text { Solar constant } & =\frac{\sigma\left(4 \pi r^2\right) T^4}{\left(4 \pi R^2\right)} \\
& =\frac{\sigma r^2(t+273)^4}{R^2}
\end{aligned}$
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