No, wavelength and frequency are inversely proportional to each other and are interconnected properties of a wave. They cannot change independently while keeping the other constant.
The relationship between wavelength (λ), frequency (f), and the speed of the wave (v) is given by the equation: v = λf
This equation, known as the wave equation, demonstrates that the speed of a wave is equal to the product of its wavelength and frequency. Since the speed of a wave is determined by the properties of the medium through which it propagates, such as the speed of light in a vacuum or the speed of sound in a specific medium, it remains constant for a given wave.
If you change the wavelength of a wave, the frequency must change proportionally to maintain the same speed. When the wavelength becomes shorter, the frequency increases, and vice versa. This relationship ensures that the wave maintains a constant speed in a given medium.
Therefore, in the context of light or sound waves, you cannot change the wavelength while keeping the frequency constant, or vice versa. They are linked by the wave equation and vary together in order to maintain a consistent speed.