Question

A body radiates energy 5 W at a temperature of ${127}^{o}C$ . If the temperature is increased to ${927}^{O}C$, then it radiates energy at the rate of

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Rate of energy $\frac{Q}{t}=P=Aϵ\sigma T^4\Rightarrow P\propto T^4$
$\Rightarrow \frac{P_1}{P_2}=(\frac{T_1}{T_2}{)}^4=(\frac{927+273}{127+273}{)}^4\Rightarrow P_1=405W$