If temperature of a black body increases from ${7^o}C$ to ${287^o}C$, then the rate of energy radiation increases by
AIIMS 1997,AIIMS 2007, Medium
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(b) For a block body rate of energy $\frac{Q}{t} = P = A\sigma {T^4}$
==> $P \propto {T^4}$
==> $\frac{{{P_1}}}{{{P_2}}} = {\left( {\frac{{{T_1}}}{{{T_2}}}} \right)^4} = {\left\{ {\frac{{(273 + 7)}}{{(273 + 287)}}} \right\}^4} = \frac{1}{{16}}$
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