Final answer:
The wavelength of light is inversely proportional to its frequency, represented by the equation v = fλ. This relationship is essential for understanding the behavior of light and electromagnetic radiation, and guides the development of technology for different spectra.
Step-by-step explanation:
This means that as the wavelength increases, the frequency decreases and vice versa. This relationship is based on the fact that the speed of light in a vacuum is a constant (approximately 299,792,458 meters per second), which can be represented by the equation v = fλ, where v is the speed of light, f is the frequency, and λ (lambda) is the wavelength. For instance, light with a longer wavelength, such as red light, will have a lower frequency, while light with a shorter wavelength, like blue light, will have a higher frequency.
Considering electromagnetic radiation, light is a part of the electromagnetic spectrum which includes a range of wavelengths and frequencies, with visible light occupying just a small portion. This spectrum also illustrates how different frequencies and wavelengths define different types of radiation, from radio waves at the low-frequency end to gamma rays at the high-frequency end. It is essential to understand this relationship to comprehend how light and other forms of electromagnetic radiation behave, including how technologies are developed to work with different parts of the spectrum.