First slide

Radiation

Question

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0.5 ×10^–6 m and 10^–4 m respectively, the ratio of their temperatures is

Easy

A

1/100
B

1/200
C

100
D

200

Solution

At maximum intesity, λT = constant.
$\large \lambda_s=0.5\times 10^{-6},\lambda_m=10^{-4}$
$\large \lambda\propto\frac 1T;\;\frac {\lambda_s}{\lambda_m}=\frac {T_2}{T_1};\;\frac {0.5\times 10^{-6}}{10^{-4}}=\frac {T_2}{T_1}$
$\large \frac {T_1}{T_2}=200/1=200$

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