The surface temperature of the Sun is 5800 K. The mean radiuses of the Earth and the Sun are 6.37x106 m and 6.96x108 m, respectively. The average Earth-Sun distance 1.496x10¹1 m. 20 (a) Assume that both the Sun and the Earth are perfect blackbody, calculate the steady-state surface temperature of the Earth. (b) What are the peak wavelengths of radiations from the Sun and the Earth? (a) Some gases in atmosphere block a small portion of sun radiation, but are quite opaque to infrared light. Recalculate the steady-state temperature of the Earth, assume that the transmission efficiency of the atmosphere is 80% and 50% for visible and infrared light, respectively.

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Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.