If a black body emits 0.5 J of energy per second when it is at 27$℃$, then the amount of energy emitted by it when it is at 627$℃$ will be

Question

Dr. Abubacker · Accepted Answer

(a) According to Stefan’s law
$E \propto T^{4}$
$\frac{E_{1}}{E_{2}} = \left\lbrack \frac{T_{1}}{T_{2}} \right\rbrack^{4}$
$\frac{E_{1}}{0.5} = \left\lbrack \frac{273 + 627}{273 + 27} \right\rbrack^{4}$
$E_{1} = 0.5\left( \frac{900}{300} \right)^{4}$
$\Rightarrow$ $E_{1} = 40.5$ J

Q. If a black body emits 0.5 J of energy per second when it is at 27$℃$, then the amount of energy emitted by it when it is at 627$℃$ will be

Explanation

Reviewed by Dr. Abubacker

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