Transmission Of Heat Question 216
Question: The temperatures of two bodies $ A $ and $ B $ are respectively $ 727^{o}C $ and $ 327^{o}C $ . The ratio $ H _{A}:H _{B} $ of the rates of heat radiated by them is
[UPSEAT 1999; MP PET 1999; MH CET 2000; AIIMS 2000]
Options:
A) $ 727:327 $
B) 5 : 3
C) 25 : 9
D) 625 : 81
Show Answer
Answer:
Correct Answer: D
Solution:
$ Q\propto T^{4} $
Therefore $ \frac{H _{A}}{H _{B}}={{( \frac{273+727}{273+327} )}^{4}}={{( \frac{10}{6} )}^{4}}={{( \frac{5}{3} )}^{4}}=\frac{625}{81} $