The Relationship
* Speed (v): The speed at which a wave travels.
* Frequency (f): The number of waves passing a point per second.
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave.
These are related by the following equation:
v = fλ
The Scenario
If you increase the speed (v) of a wave while keeping the frequency (f) the same, the wavelength (λ) must also increase.
Why?
Think of it this way:
* Frequency is constant: The number of waves passing a point per second remains the same.
* Speed increases: Each wave is now moving faster.
* Wavelength must increase: To accommodate the faster movement with the same number of waves passing, the distance between each wave (the wavelength) needs to stretch out.
Example
Imagine a line of cars driving down a road. The frequency is the number of cars passing a specific point per minute. If the cars speed up (increased speed), the distance between each car (wavelength) increases to maintain the same number of cars passing per minute (frequency).
Important Note: This relationship holds true for all types of waves, including sound waves and electromagnetic waves (like light).
