What is the relationship between wavelength and frequency?

The relationship between wavelength and frequency is fundamentally governed by the equation that relates these two properties of electromagnetic waves: (c = \lambda f), where (c) is the speed of light, (\lambda) is the wavelength, and (f) is the frequency. This equation indicates that the speed of light is constant in a vacuum.

From this relationship, it can be inferred that as frequency increases, the wavelength must decrease to maintain the constant speed of light. This means that high-frequency waves, such as gamma rays, have much shorter wavelengths, whereas low-frequency waves, like radio waves, possess longer wavelengths. Hence, when one considers the statement about the relationship described, it is evident that a higher frequency corresponds to a shorter wavelength, confirming why the correct option highlights this inverse relationship.

Other choices would suggest a direct correlation or independence that contradicts this fundamental physical principle, illustrating why option C correctly captures the essence of how frequency and wavelength interact.