Transmission Of Heat Question 243
Question: If the initial temperatures of metallic sphere and disc, of the same mass, radius and nature are equal, then the ratio of their rate of cooling in same environment will be
[J & K CET 2004]
Options:
A) 1 : 4
B) 4 : 1
C) 1 : 2
D) 2 : 1
Show Answer
Answer:
Correct Answer: D
Solution:
$ E\propto AT^{4} $
Therefore $ \frac{{E _{\text{sphere}}}}{{E _{\text{Disc}}}}=\frac{4\pi r^{2}}{2\pi r^{2}}\times {{( \frac{T}{T} )}^{4}}=\frac{2}{1} $