Question

the graphs below describe two waves. the waves are traveling at the same speed.
select the graph of the wave with the greater frequency.

Explanation:

Step1: Recall the relationship between frequency and wavelength

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. Given that \(v\) is the same for both waves (\(v_1=v_2\)), so \(f_1\lambda_1 = f_2\lambda_2\).

Step2: Compare the wavelengths

Looking at the graphs, the wave on the left has a shorter wavelength (\(\lambda\)) than the wave on the right.

Step3: Determine the frequency

Since \(f=\frac{v}{\lambda}\) and \(v\) is constant. A shorter \(\lambda\) implies a larger \(f\).

Answer:

The graph on the left (the one with the shorter wavelength) has the greater frequency.