Question

1. a wave with a frequency of 500 hz is traveling at a speed of 200 m/s. what is the wavelength?

Explanation:

Step1: Recall the wave - speed formula

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

Step2: Substitute the given values

We are given that \(v = 200\space m/s\) and \(f=500\space Hz\). Substituting these values into the formula \(\lambda=\frac{v}{f}\), we get \(\lambda=\frac{200\space m/s}{500\space Hz}\).

Step3: Calculate the wavelength

\(\lambda=\frac{200}{500}\space m = 0.4\space m\)

Answer:

\(0.4\space m\)