Which of these CORRECTLY states the relationship between frequency, wavelength, and antenna size?

The relationship between frequency, wavelength, and antenna size is fundamentally governed by the principles of wave propagation and electromagnetic theory. When frequency increases, the wavelength decreases, which is given by the formula:

[ \text{Wavelength} (\lambda) = \frac{c}{f} ]

where ( c ) is the speed of light, and ( f ) is the frequency. This inverse relationship indicates that as frequency goes up, the wavelength becomes shorter.

Antenna size is related to the wavelength of the signal it is designed to transmit or receive. Generally, antennas are designed to be a fraction of the wavelength (often a quarter or half) of the frequency they operate at. Therefore, as the frequency increases and the corresponding wavelength decreases, the physical size of the antenna must also decrease to effectively resonate with the shorter wavelengths.

The correct choice states that as frequency increases, the antenna becomes smaller. This aligns perfectly with the principle that higher frequencies correspond to shorter wavelengths, necessitating smaller antennas for effective operation. Understanding this relationship is crucial for designing and utilizing antennas in wireless communication systems.