Transmission Of Heat Question 256
Question: If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $ 0.5\times {{10}^{-6}}m $ and $ {{10}^{-4}}m $ respectively, the ratio of their temperatures is
[MP PMT 1990]
Options:
A) 1/100
B) 1/200
C) 100
D) 200
Show Answer
Answer:
Correct Answer: D
Solution:
$ {\lambda _{m}}T $ =constant
Therefore $ \frac{T _{1}}{T _{2}}=\frac{{\lambda _{2}}}{{\lambda _{1}}} $
Therefore $ \frac{{{10}^{-4}}}{0.5\times {{10}^{-5}}} $ =200.