Final answer:
The Earth's maximum energy is radiated at approximately 10 micrometers, as indicated by Wien's Law and the characteristic temperature of Earth's surface, which is about 300 K.
Step-by-step explanation:
The Earth's energy is primarily radiated as infrared radiation due to its characteristic temperatures. According to Wien's Law, which relates the temperature of a black body to the wavelength at which it radiates maximum energy, Earth's peak emission occurs at around 10 micrometers (also written as microns). This is because typical surface temperatures on Earth are near 300 K. For a black body at this temperature, the law (with a constant of approximately 3 x 106 nm-K) predicts a wavelength of around 10 micrometers for the maximum emission of energy.