Speed = Frequency x Wavelength
Therefore, if the frequency is high, and the speed remains constant, the wavelength will be short.
However, it's important to remember that speed is not always constant.
Here's a breakdown:
* For a wave traveling in a specific medium (like sound in air or light in a vacuum), the speed is constant. In this case, a higher frequency means a shorter wavelength.
* For a wave traveling in a medium where the speed varies, a higher frequency doesn't directly translate to a shorter wavelength. The relationship is more complex and depends on the specific medium and its properties.
Examples:
* Sound: The speed of sound in air is relatively constant. Therefore, a higher frequency sound wave (like a high-pitched whistle) will have a shorter wavelength.
* Light: The speed of light in a vacuum is constant. A higher frequency light wave (like blue light) will have a shorter wavelength than a lower frequency light wave (like red light).
* Water waves: The speed of water waves can vary depending on the depth of the water. A higher frequency wave in shallow water might have a shorter wavelength than a lower frequency wave in deep water, even though both waves have the same speed in their respective depths.
In summary:
* For constant speed, higher frequency means shorter wavelength.
* For varying speed, the relationship between frequency and wavelength depends on the specific medium and its properties.
