What is the relationship between wavelength and frequency?

The correct understanding of the relationship between wavelength and frequency is that higher frequency corresponds to shorter wavelength, and lower frequency corresponds to longer wavelength. This relationship is described by the formula:

[

\text{Speed} = \text{Frequency} \times \text{Wavelength}

]

In this equation, the speed refers to the speed of light in a vacuum, which is a constant. As frequency increases, the wavelength must decrease in order to keep the product of frequency and wavelength equal to the speed of light. Conversely, when the frequency decreases, the wavelength increases.

This understanding is foundational in communications and physics, as it helps explain how different frequencies can correspond to specific data transmission capabilities and characteristics of waves used in various technologies. Thus, the relationship clearly states that lower frequency indeed implies a longer wavelength.