Final answer:
The wavelength of the most intense light is related to surface temperature by an inverse relationship between frequency and wavelength. As temperature increases, objects emit more energy at shorter, higher-energy wavelengths. The peak wavelength of a star's radiation can be used to determine its temperature.
Step-by-step explanation:
When it comes to the relationship between wavelength and surface temperature, there are a few key points to keep in mind. First, as the temperature increases, the wavelength of light providing the greatest intensity also increases. This is because of the inverse relationship between frequency and wavelength. Second, hot objects emit a larger fraction of their energy at shorter wavelengths, which have higher frequencies and energies. This is why objects at higher temperatures appear to glow with shorter, more intense wavelengths. Lastly, the temperature of a star can be determined by analyzing the peak wavelength of its radiation, with hotter stars emitting radiation at shorter, higher-energy wavelengths.