Wavelength and frequency in light are locked in a fixed relationship. # Wave Equation ``` Speed = Wavelength • Frequency ``` $ v = f \lambda $ > The above equation is known as the wave equation. It states the mathematical relationship between the speed (**ν**) of a wave and its wavelength (**λ**) and frequency (**f**). This equation works for all waves: from springs, to sound, to light. When considering light, `ν` is equal to the speed of light `c`. $ c = f \lambda $ # Example Example of determining frequency from wavelength: ```math-tex # Define Units and Constants nm = 1e-9 # one nanometer thz = 1e12 # one terahertz c = 299792458 # speed of light in meters per second λnm = 550 # 550nm λ = λnm nm # 550nm wavelength in meters f = c / λ # frequency in hertz ft = f / thz # frequency in terahertz ``` # Resources - https://www.everythingrf.com/rf-calculators/wavelength-to-frequency - https://www.omnicalculator.com/physics/wavelength-to-frequency # References - https://en.wikipedia.org/wiki/Speed_of_light - https://en.wikipedia.org/wiki/Visible_spectrum - https://www.khanacademy.org/science/physics/light-waves/introduction-to-light-waves/a/light-and-the-electromagnetic-spectrum - https://www.physicsclassroom.com/class/waves/Lesson-2/The-Wave-Equation