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  4. The temperature of two bodies A and B are respectively, 727°C and 327°C. The ratio HA: HB of the rates of heat radiated by them is

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Q. The temperature of two bodies $A$ and $B$ are respectively, $727°C$ and $327°C$. The ratio $H_A : H_B$ of the rates of heat radiated by them is

JIPMERJIPMER 2013Thermal Properties of Matter

Solution:

$\frac{H_{A}}{H_{B}} =\frac{\left(727 + 273\right)^{4}}{\left(327 +273\right)^{4}}$
$= \left(\frac{1000}{600}\right)^{4} = \frac{5 \times5\times5\times5}{3\times3\times3\times3} = \frac{625}{81}$