Wavelength and frequency are two important things when talking about waves.

Let's break them down:

• Wavelength ($\lambda$) is the distance between one wave’s peak (or high point) and the next wave’s peak.
• Frequency ($f$) tells us how many waves pass by a point in one second. We measure frequency in Hertz (Hz).

Now, here's how they connect:

1. The Relationship:

   There’s an easy formula to understand how they work together:

   $v = f \times \lambda$

   Here’s what the letters mean:

   • $v$ = wave speed (how fast the wave is moving, in meters per second)
   • $f$ = frequency (how many waves pass by in one second, in Hertz)
   • $\lambda$ = wavelength (the distance between waves, in meters)

2. Example:

   Picture water waves. If those waves are moving at a speed of 2 meters per second (m/s) with a frequency of 2 Hz, we can find the wavelength like this:

   $\lambda = \frac{v}{f} = \frac{2 \, \text{m/s}}{2 \, \text{Hz}} = 1 \, \text{m}$

This means that when the frequency goes up, the wavelength gets shorter. This shows how wavelength and frequency are connected in an opposite way; as one increases, the other decreases!