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} $