Transmission Of Heat Question 241
Question: If the temperature of the sun were to be increased from T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on the earth to what it was previously will be
[AIEEE 2004]
Options:
A) 4
B) 16
C) 32
D) 64
Show Answer
Answer:
Correct Answer: D
Solution:
$ Q\propto r^{2}T^{4} $
Therefore $ \frac{Q _{2}}{Q _{1}}={{( \frac{r _{2}}{r _{1}} )}^{2}}\times {{( \frac{T _{2}}{T _{1}} )}^{4}}={{(2)}^{2}}\times {{(2)}^{4}}=64 $
BETA
