The light from th sun is found to have a maximum intensity near the wavelength of `470nm`. Assuming that the surface of the sun emits as a blackbody, calculate the temperature of the surface of the sun.

Options

A. 5800 K
B. 6050 K
C. 6166 K
D. 6500 K

Answer

C

Explanation

According to Wien's displacement law,
`lamda_(m)T` = constant = b
`thereforeT =b/lamda_(m)=(2.898xx10^(-3))/(470xx10^(-9))=(2.898xx10^(-3+9))/470`
`=(2,898xx10^(3))/470`
= 6,166 K