Question

1. a wave has a wavelength of 0.5 meters and a frequency of 120 hz. what is the waves speed?
2. radio waves travel at a speed of 300,000,000 m/s. wfnx broadcasts radio waves at a frequency of 101,700,000 hertz. what is the wavelength of wfnxs radio waves?

Explanation:

Step1: Recall the wave speed formula

The formula for wave speed \(v\) is \(v = \lambda\times f\), where \(\lambda\) is the wavelength and \(f\) is the frequency.

Step2: Substitute the given values

Given \(\lambda = 0.5\space m\) and \(f=120\space Hz\).

$$v=(0.5\space m)\times(120\space Hz)$$

Step3: Calculate the wave speed

$$v = 60\space m/s$$

for question 10:

Step1: Recall the wave speed formula

The formula for wave speed \(v=\lambda\times f\), we can rearrange it to find \(\lambda=\frac{v}{f}\)

Step2: Substitute the given values

Given \(v = 300000000\space m/s\) and \(f = 101700000\space Hz\)

$$\lambda=\frac{300000000\space m/s}{101700000\space Hz}$$

Step3: Calculate the wavelength

$$\lambda\approx 2.95\space m$$

Answer:

For question 9: The wave's speed is \(60\space m/s\).
For question 10: The wavelength of WFNX's radio waves is approximately \(2.95\space m\).