Q. A black body radiates at the rate of $W$ watts at a temperature $T$. If the temperature of the body is reduced to $T/3$, it will radiate at the rate of (in $Watts$)

A) $\frac{W}{81}$
B) $\frac{W}{27}$
C) $\frac{W}{9}$
D) $\frac{W}{3}$
Explanation

(a) $P = \left( \frac{Q}{t} \right) \propto T^{4} \Rightarrow \frac{W}{P_{2}} = \left( \frac{T}{T/3} \right)^{4} \Rightarrow P_{2} = \frac{W}{81}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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