Answer:
Wavelength is 7.0m
Explanation:
For a wave, while the vertical distance between its crest and trough is its wave height, the horizontal distance between two adjacent crests or troughs is its wavelength.
Do not forget that the point where the wave has the maximum height is its crest while the point where it has its minimum height.
From the foregoing, the horizontal distance between a crest and an adjacent trough will be equal to half of the wavelength (horizontal distance between two adjacent troughs or crests).
Therefore, from the question, the distance (horizontal) between a crest and an adjacent trough which is 3.50m is half of the wavelength of the wave. This implies that the wavelength of the wave is 7.0m
The wavelength of this transverse wave is equal to 7.0 meters.
Given the following data:
To calculate the wavelength of this transverse wave:
What is wavelength?
Wavelength can be defined as the distance between two (2) successive crests (troughs) of a wave.
This ultimately implies that, wavelength is the horizontal distance between two (2) adjacent crests (troughs) of a wave.
In this context, the wavelength of this transverse wave is equal to twice the distance between the crest and an adjacent trough.
Mathematically, this is given by this expression:
[tex]Wavelength = 2 \times 3.50[/tex]
Wavelength = 7.0 meters.
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