The relationship between wavelength (λ), frequency (f), and the speed of light (c) is described by the equation:
c = λ * f
where: c is the speed of light, λ is the wavelength of light, and f is the frequency of light.
This equation, known as the wave equation, demonstrates the inverse relationship between wavelength and frequency while maintaining a constant speed of light.
The speed of light in a vacuum is a fundamental constant, approximately 299,792,458 meters per second (m/s). In different media, such as air, water, or glass, the speed of light is slightly lower than in a vacuum, but for most practical purposes, the speed of light is considered constant.
From the wave equation, it can be observed that as the wavelength of light decreases, the frequency increases, and vice versa. This relationship holds true for all electromagnetic waves, including visible light.
In the visible light spectrum, different colors correspond to different wavelengths and frequencies. Red light has a longer wavelength and lower frequency, while violet light has a shorter wavelength and higher frequency. The other colors of the rainbow, such as orange, yellow, green, blue, and indigo, fall between these extremes.
Overall, the relationship between wavelength and frequency is inversely proportional, while the product of wavelength and frequency remains constant at the speed of light.