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  4. The temperature of two objects are 727° C and 327° C . The ratio of the rates of heat radiated by them H1:H2 is

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Q. The temperature of two objects are $727^\circ C$ and $327^\circ C$ . The ratio of the rates of heat radiated by them $H_{1}:H_{2}$ is

NTA AbhyasNTA Abhyas 2022

Solution:

By Stefan's law of radiation
$\frac{H_{A}}{H_{B}}=\frac{\left( 727 + 273 \right)^{4}}{\left( 327 + 273 \right)^{4}}$
$=\left(\frac{1000}{600}\right)^{4}=\left(\frac{5}{3}\right)^{4}$
$=\frac{625}{81}$
$\therefore H_{A}:H_{B}=625:81$