Yes, frequency and wavelength are inversely proportional to each other in a wave. The frequency of a wave refers to the number of complete cycles or oscillations of the wave that occur in a given time period, while the wavelength represents the distance between two consecutive points on the wave that are in phase with each other.
The relationship between frequency (f) and wavelength (λ) is defined by the equation:
c = f * λ
where c is the speed of light or the speed at which the wave propagates through a medium. From this equation, we can see that if the frequency increases, the wavelength decreases, and vice versa. In other words, as the frequency of a wave increases, the distance between consecutive points of the wave decreases, resulting in a shorter wavelength. Similarly, if the frequency decreases, the wavelength becomes longer.
This relationship holds true for various types of waves, including electromagnetic waves (such as light waves and radio waves) and mechanical waves (such as sound waves).