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

2. 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?

2. 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?

Answer

Explanation:

Step1: Calculate the frequency

The formula for the speed of a wave is (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}). Substituting (v = 10.0\space m/s) and (\lambda=0.10\space m), we have (f=\frac{10.0}{0.10}=100\space Hz).

Step2: Calculate the period

The period (T) is the reciprocal of the frequency, so (T = \frac{1}{f}). Substituting (f = 100\space Hz), we get (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).