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 \(f_1\lambda_1 = f_2\lambda_2\). Then \(f=\frac{v}{\lambda}\), which means that the wave with the shorter wavelength has the greater frequency.

Step2: Compare the wavelengths of the two waves

Looking at the graphs, count the number of wavelengths in a given position range. The wave on the right has more complete cycles (wavelengths) in the same position range compared to the wave on the left. So the wave on the right has a shorter wavelength.

Answer:

The graph on the right.