Understanding the Relationship

* Fundamental Frequency: The lowest frequency at which a string or rope can vibrate, creating a standing wave.

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

* Rope Length: In the fundamental mode (first harmonic), the length of the rope is equal to half the wavelength.

Calculation

1. Rope Length = Wavelength / 2

2. Rope Length = 10 meters / 2

3. Rope Length = 5 meters

Therefore, the rope is 5 meters long.