Question

1. the speed of a wave is 65 m/sec. if the wavelength of the wave is 0.8 meters, what is the frequency of the wave?

Explanation:

Step1: Recall the wave speed formula

The formula for wave speed \(v\) is \(v = f\lambda\), where \(v\) is the speed, \(f\) is the frequency, and \(\lambda\) is the wavelength. We need to solve for \(f\), so we can rewrite the formula as \(f=\frac{v}{\lambda}\).

Step2: Substitute the given values

Given \(v = 65\space m/s\) and \(\lambda=0.8\space m\). Substitute these into the formula: \(f=\frac{65}{0.8}\).

Step3: Calculate the frequency

\(f=\frac{65}{0.8}=81.25\space Hz\)

Answer:

\(81.25\space Hz\)