A2m long rope is stretched between two supports with a tension that makes the speed of transverse waves 50m/s. what is the wavelength of the fundamental tone?
2m
6m
4m
8m

4m

Explanation:

In this situation, while the rope vibrates, a periodic wave travels through it, which is a standing wave.

In this sense, a standing wave has several harmonics  and a fundamental tone (also called fundamental frequency), which is the lowest frequency of this periodic wave and is given by:

(1)

Where:

is the fundamental frequency

is the speed of the wave

is the longitude of the rope

On the other hand, there is a relation between and the wavelength of the fundamental tone:

(2)

Finding from (2):

This is the wavelength of the fundamental tone

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