A body of area $1\, cm^2$ is heated to a temperature $1000\, K$. The amount of energy radiated by the body in $1\, second$ is .......... $Joule$ (Stefan's constant $\sigma = 5.67 \times 10^{-8}\, W\, m^{-2}K^{-4}$)
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Here, $A=1 \mathrm{cm}^{2}=10^{-4} \mathrm{m}^{2}$
$\mathrm{T}=1000 \mathrm{K}$
$t=1 \mathrm{s}$
$\sigma=5.67 \times 10^{-8} \mathrm{W} \mathrm{m}^{-2} \mathrm{K}^{-4}$
According to Stefan$-$Boltzman law, energy radiated by a body is,
$E=\sigma A T^{4} t$
$=5.67 \times 10^{-8} \times 10^{-4} \times(1000)^{4} \times 1$
$=5.67 \mathrm{J}$
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