Question

1. a wave travels at a speed of 10.0 m/s. if the wavelength is.10m, what are the frequency and period of the wave?

Explanation:

Step1: Calculate the frequency

The formula for wave speed \(v = f\lambda\), where \(v\) is the speed, \(f\) is the frequency, and \(\lambda\) is the wavelength. Rearranging for \(f\), we get \(f=\frac{v}{\lambda}\).
Given \(v = 10.0\space m/s\) and \(\lambda=0.10\space m\), then \(f=\frac{10.0}{0.10}=100\space Hz\)

Step2: Calculate the period

The period \(T\) is the reciprocal of the frequency, \(T = \frac{1}{f}\)
Since \(f = 100\space Hz\), then \(T=\frac{1}{100}=0.01\space s\)

Answer:

The frequency of the wave is \(100\space Hz\) and the period is \(0.01\space s\)