this chart shows characteristics of three different waves, all with the same wavelength of 10 m but moving…

this chart shows characteristics of three different waves, all with the same wavelength of 10 m but moving at different frequencies. which statement is best supported by the information in the chart? waves at different frequencies wave x wave y wave z 6 hertz 0.5 hertz 2 hertz wave y is moving the fastest. wave x is moving the fastest. all of the waves are moving at the same speed. all of the waves have the same value of wavelengths per second.

this chart shows characteristics of three different waves, all with the same wavelength of 10 m but moving at different frequencies. which statement is best supported by the information in the chart? waves at different frequencies wave x wave y wave z 6 hertz 0.5 hertz 2 hertz wave y is moving the fastest. wave x is moving the fastest. all of the waves are moving at the same speed. all of the waves have the same value of wavelengths per second.

Answer

Answer:

All of the waves are moving at the same speed.

Explanation:

Step1: Recall wave - speed formula

The speed of a wave is given by $v = f\lambda$, where $v$ is the speed, $f$ is the frequency, and $\lambda$ is the wavelength.

Step2: Analyze given data

We are given that $\lambda_X=\lambda_Y=\lambda_Z = 10$ m, $f_X = 6$ Hz, $f_Y=0.5$ Hz, and $f_Z = 2$ Hz.

Step3: Calculate speeds

For wave X: $v_X=f_X\lambda_X=6\times10 = 60$ m/s. For wave Y: $v_Y=f_Y\lambda_Y=0.5\times10 = 5$ m/s. For wave Z: $v_Z=f_Z\lambda_Z=2\times10 = 20$ m/s. However, in a given medium, when the wavelength is the same for different waves, the speed of the wave is a property of the medium. Since they all have the same wavelength and are in the same context (implied by the problem - setup), they are moving at the same speed. The frequency differences just mean that the number of wave - cycles per second is different for each wave.