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

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. length = 4.80 m enter your answers or tap the number pad icon for a pop - up number pad. wavelength (m): check answer

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. length = 4.80 m enter your answers or tap the number pad icon for a pop - up number pad. wavelength (m): check answer

Answer

Explanation:

Step1: Identify wave - length relation

The length of the rope shown contains 2 full wavelengths. Let the wavelength be $\lambda$ and the length of the rope be $L$. So $L = 2\lambda$.

Step2: Solve for wavelength

We know $L = 4.80$ m. From $L = 2\lambda$, we can solve for $\lambda$ by $\lambda=\frac{L}{2}$. Substituting $L = 4.80$ m into the formula, we get $\lambda=\frac{4.80}{2}=2.40$ m.

Answer:

2.40