Q. The temperatures of two bodies $A$ and $B$ are respectively $727℃$ and $327℃$. The ratio $H_{A}:H_{B}$ of the rates of heat radiated by them is

A) 727 : 327
B) 5 : 3
C) 25 : 9
D) 625 : 81
Explanation

(d) $Q \propto T^{4} \Rightarrow \frac{H_{A}}{H_{B}} = \left( \frac{273 + 727}{273 + 327} \right)^{4} = \left( \frac{10}{6} \right)^{4} = \left( \frac{5}{3} \right)^{4} = \frac{625}{81}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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