True. As the frequency of light increases, the wavelength becomes shorter. This relationship is described by the equation:
λ = c / f
where λ represents the wavelength, c is the speed of light, and f is the frequency.
Since the speed of light is a constant, if the frequency increases, the wavelength must decrease to maintain a consistent speed. In other words, as the frequency of light increases, the number of wave cycles per second increases, leading to shorter distances between the crests or troughs of the wave, resulting in a shorter wavelength.