Question

A black body radiates heat energy a the rate of $2\times {10}^{5}J/m^2$ at the temperature of ${127}^{0}C$ .Temperature of the black body at which rate of heat radiation $32\times {10}^{5}J/m^2$,is then

Answer 1

We know that heat flow intensity is given by $Q\propto T^4$

$⟹\frac{Q_2}{Q_1}=\frac{T_2^4}{T_1^4}$

$⟹T_2^4={400}^4\times 16$

$⟹T_2=800K={527}^{o}C$