What is true about waves with higher frequencies?

Waves with higher frequencies correspond to shorter wavelengths due to the inverse relationship defined by the wave equation. This relationship states that the speed of a wave is equal to its frequency multiplied by its wavelength (speed = frequency × wavelength). When the frequency increases, to maintain a constant wave speed, the wavelength must decrease.

For example, consider the electromagnetic spectrum where gamma rays have high frequencies and short wavelengths, while radio waves have low frequencies and long wavelengths. Hence, as the frequency increases, the distance between successive wave peaks, or wavelength, decreases, leading to the conclusion that waves with higher frequencies indeed have shorter wavelengths. This concept is fundamental in understanding wave behavior across various contexts, including sound and light waves.