To find the height of a wave when given the wavelength, you need additional information about the wave, such as its amplitude or the nature of the wave itself. The wavelength alone does not provide sufficient information to determine the height of a wave.
In wave terminology, the height of a wave is often referred to as its amplitude. The amplitude represents the maximum displacement of the wave from its equilibrium position. It measures the magnitude or intensity of the wave.
If you have the amplitude of the wave, you can directly determine its height. However, if you only have the wavelength, you would need additional information, such as the waveform or the specific nature of the wave, to determine its height.
For example, in the case of a sinusoidal wave (e.g., a simple harmonic wave), the amplitude represents half the distance between the highest peak and the lowest trough of the wave. In this case, if you know the amplitude, you can directly use that value as the height of the wave.
In summary, to find the height of a wave when given the wavelength, you need additional information about the wave, such as its amplitude or the specific nature of the wave itself. The wavelength alone is not sufficient to determine the height of a wave.