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a rope is vibrating at high frequency. the length of the rope is 4.80 m…

Question

a rope is vibrating at high frequency. the length of the rope is 4.80 meters. a snapshot of the rope at a given moment in time is also shown. use this information to determine the wavelength of the wave. enter your answers or tap the number pad icon for a pop - up number pad. wavelength (m): check answer

Explanation:

Step1: Count the number of wavelengths

From the snapshot, we can see that there are 3 wavelengths in the length of the rope.

Step2: Calculate the wavelength

Let the length of the rope be \(L = 4.80\) m and the number of wavelengths be \(n=3\). The formula for the wavelength \(\lambda\) is \(\lambda=\frac{L}{n}\).
Substitute \(L = 4.80\) m and \(n = 3\) into the formula: \(\lambda=\frac{4.80}{3}\)

Answer:

\(1.60\) m