Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A black body is at $727^{\circ} C$. It emits energy at a rate which is proportional to

Thermal Properties of Matter

Solution:

Amount of heat energy radiated per second by unit area of a black body is directly proportional to fourth power of absolute temperature.
According to Stefan's law,
$E \propto T^{4}$
or $E=\sigma T^{4}$
where $\sigma$ is constant of proportionality and called Stefan's constant. Its value is
$5.67 \times 10^{-8} Wm ^{-2} K ^{-4}$
Hence $E \propto(727+273)^{4}$
$E=\propto(1000)^{4}$