If wavelengths of maximum intensity of radiations emitted by the sun and the moon are `0.5xx10^(-6)m " and " 10^(-4)`m respectively, the ratio of their temperature is ……………

Options

A. (a) 2000
B. 1000
C. 100
D. 200

Answer

D

Explanation

According to Wein's law, `lambda_(m)T`= constant
`therefore (lambda_(m)T)_(s) = (lambda_(m)T)_(m)`
or `(T_(s)/T_(m)) = (lambda_(m))_(m)/(lambda_(m))_(s) = 10^(-4)/(0.5 xx 10^(-6)) = 200`