Final answer:
The relationship between the frequency, wavelength, and speed of light is expressed by the equation c = fλ, with c representing the speed of light and can be rearranged to solve for wavelength or frequency given one of the variables.
Step-by-step explanation:
The equation which shows how the frequency (f), and the wavelength (λ), of light are related to the speed of light (c) is c = fλ. Here, c is the speed of light, which is approximately 3.00 × 108 m/s. The wavelength must be measured in meters and the frequency in Hertz for the relationship to hold mathematically. To find the wavelength (λ) for a given frequency (f), the equation can be rearranged to λ = c / f. Similarly, to find the frequency when the wavelength is known, the equation can be rearranged to f = c / λ. Since the speed of light is a constant, an increase in frequency results in a decrease in wavelength and vice versa.