* Wavelength: The distance between two consecutive crests or troughs of a wave.

* Frequency: The number of waves passing a point in a given amount of time.

* Speed: How fast the wave is traveling.

The Relationship

The key relationship is:

* Speed = Wavelength x Frequency

What Happens When Wavelength Increases?

* Frequency Decreases: If the speed of the wave stays constant, and the wavelength increases, the frequency must decrease to maintain the equation.

* Speed Remains Constant (Usually): In most cases, the speed of a wave is determined by the medium it travels through. For example, the speed of light in a vacuum is constant. So, if wavelength increases, it's usually because the frequency decreases to keep the speed consistent.

Example

Imagine you're shaking a rope to create waves. If you shake it slower, the waves will be further apart (longer wavelength) and there will be fewer waves passing a point each second (lower frequency). The speed of the waves on the rope likely stays the same.

Important Note: This relationship applies to all types of waves, including light waves, sound waves, and water waves.