Question

a wave of infrared light has a speed of 6 m/s and a wavelength of 12 m. what is the frequency of this wave?
0.5 hz
2.0 hz
18 hz
72 hz

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 \(f\), so we can rewrite the formula as \(f=\frac{v}{\lambda}\).

Step2: Substitute the given values

We are given that \(v = 6\space m/s\) and \(\lambda=12\space m\). Substituting these values into the formula \(f=\frac{v}{\lambda}\), we get \(f=\frac{6}{12}\).

Step3: Calculate the frequency

\(f=\frac{6}{12}=0.5\space Hz\)

Answer:

0.5 Hz