A body of area $1cm^{2}$ is heated to a temperature $1000K$. The amount of energy radiated by the body in $1\ s$ is (Stefan’s constant $\sigma = 5.67 imes 10^{- 8}Wm^{- 2}K^{- 4})$

Question

A body of area $1cm^{2}$ is heated to a temperature $1000K$. The amount of energy radiated by the body in $1\ s$ is (Stefan’s constant $\sigma = 5.67 	imes 10^{- 8}Wm^{- 2}K^{- 4})$

Dr. Abubacker · Accepted Answer

(a) Here, $A = 1cm^{2} = 10^{- 4}m^{2},T = 1000K,\ t = 1s$ and $\sigma = 5.67 	imes 10^{- 8}Wm^{- 2}K^{- 4}$
According to Stefan-Boltzmann law, energy radiated by a body is
$E = \sigma AT^{4}t = 5.67 	imes 10^{- 8} 	imes 10^{- 4} 	imes (1000)^{4} 	imes 1 = 5.67J$

Q. A body of area $1cm^{2}$ is heated to a temperature $1000K$. The amount of energy radiated by the body in $1\ s$ is (Stefan’s constant $\sigma = 5.67 \times 10^{- 8}Wm^{- 2}K^{- 4})$

Explanation

Reviewed by Dr. Abubacker

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