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A black body at $227^{\circ} \mathrm{C}$ radiates heat at the rate of $7 \mathrm{cals} / \mathrm{cm}^2 \mathrm{~s}$. At a temperature of $727^{\circ} \mathrm{C}$, the rate of heat radiated in the same units will be :
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The correct answer is:
112
$\mathrm{P} \propto \mathrm{T}^4$
$$
\begin{aligned}
& \frac{\mathrm{P}_2}{\mathrm{P}_1}=\left(\frac{1000}{500}\right)^4 \\
& \mathrm{P}_2=16 \mathrm{P}_1=112
\end{aligned}
$$
$$
\begin{aligned}
& \frac{\mathrm{P}_2}{\mathrm{P}_1}=\left(\frac{1000}{500}\right)^4 \\
& \mathrm{P}_2=16 \mathrm{P}_1=112
\end{aligned}
$$
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