Question

a transverse wave with a frequency of 125 hz is traveling in the x - direction.
how long will it take this wave to travel 3000 m in the x - direction?
0.42 seconds
2.0 seconds
2.4 seconds
4.8 seconds

Explanation:

Step1: Calculate wave speed

Wave speed formula: \(v = f\lambda\). From the graph, \(\lambda= 5.0\space m\), \(f = 125\space Hz\). So \(v=125\times5=\ 625\space m/s\).

Step2: Calculate time

Time formula: \(t=\frac{d}{v}\). Given \(d = 3000\space m\), \(v = 625\space m/s\). Then \(t=\frac{3000}{625}=4.8\div2 = 2.4\space s\).

Answer:

C. 2.4 seconds