What is the relationship between wavelength and frequency?

The correct answer highlights a fundamental principle in wave physics: wavelength and frequency are inversely related. When the frequency of a wave increases, the wavelength decreases. This relationship can be understood through the wave equation, which articulates that the speed of a wave is equal to the product of its wavelength and frequency. Specifically, the equation can be stated as:

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

In a medium where the speed of the wave is constant, an increase in frequency means more cycles occur in a given time period. However, since the wave must still travel at the same speed, each cycle occupies less spatial length, resulting in a shorter wavelength. This relationship is crucial in many applications, including radio communications, where different frequencies correspond to different wavelengths, affecting how signals are transmitted and received.

Understanding this relationship is essential for anyone studying amateur radio and the principles underlying wave propagation.