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.