Wavelength \((\lambda)\) is related to frequency \((f)\) and wave speed \((v)\) by the following equation:
$$\lambda = \frac{v}{f}$$
Where:
\(v\) is the wave speed in meters per second (m/s)
\(f\) is the frequency in Hertz (Hz)
\(\lambda\) is the wavelength in meters (m)
As you can see from the equation, if you increase the frequency while keeping the wave speed constant, the wavelength must decrease proportionally. This is because the wave speed is determined by the medium through which the wave is traveling and cannot be changed without altering the properties of the medium. Therefore, the only way to increase the frequency while maintaining a constant wave speed is to reduce the wavelength.
