Q. A black body of surface area $10cm^{2}$ is heated to $127℃$ and is suspended in a room at temperature $27℃$. The initial rate of loss of heat from the body at the room temperature will be

A) $2.99\ W$
B) $1.89\ W$
C) $1.18\ W$
D) $0.99\ W$
Explanation

(d) Loss of heat $\mathrm{\Delta}Q = A\varepsilon\sigma\left( T^{4} - T_{0}^{4} \right)t$
$\Rightarrow$ Rate of loss of heat $\frac{\mathrm{\Delta}Q}{t} = A\varepsilon\sigma(T^{4} - T_{0}^{4})$
$= 10 \times 10^{- 4} \times 1 \times 5.67 \times 10^{- 8}\{(273 + 127)^{4} - (273 + 27)^{4}\}$
$= 0.99\ W$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.