The connection between frequency, wavelength, and speed is really important in understanding waves. You can see this relationship in the wave equation:

$$v = f \lambda$$

Let’s break this down:

• v is the speed of the wave (in meters per second, m/s).
• f is the frequency (in hertz, Hz, which tells us how many times a wave happens in one second).
• λ (lambda) is the wavelength (in meters, m, which is the distance between two wave peaks).

Key Points to Remember:

• Frequency: This is how many waves pass a point in one second. If the frequency is high, the wavelength is usually shorter.

• Wavelength: This is the distance from one wave peak to the next peak. When the frequency goes up, the wavelength goes down, and vice versa.

• Velocity: This is how fast the wave moves. For light waves in space, the speed is about $3 \times 10^8$ meters per second (very fast!).

Knowing how frequency, wavelength, and speed work together is really important. This knowledge helps us in many areas, like communication technology (like cell phones) and medical imaging (like ultrasounds).