Explanation

(c) Total energy radiated from a body
$\mathcal{Q =}A\varepsilon\sigma T^{4}t$
Or $\frac{\mathcal{Q}}{t}\ \propto AT^{4}$
$\frac{\mathcal{Q}}{t}\ \propto r^{2}T^{4}$ ($\because\ \ A = 4\pi r^{2})$
$\frac{\mathcal{Q}_{1}}{\mathcal{Q}_{2}} = \left( \frac{r_{1}}{r_{2}} \right)^{2}\ \left( \frac{T_{1}}{T_{2}} \right)^{4}j = \left( \frac{8}{2} \right)^{2}\left\lbrack \frac{273 + 127}{273 + 527} \right\rbrack^{4} = 1$