Question

during a science experiment, a student creates two waves using a slinky. wave a has a frequency of 4 hz and a wavelength of 0.75 meters. wave b has a frequency of 8 hz and a wavelength of 0.375 meters. the student claims that both waves travel at the same speed. how can the student support this claim mathematically? by dividing the wavelength by the frequency for both waves, which gives the same speed by multiplying the frequency and wavelength of both waves, which gives the same speed for both by observing that both waves have different wavelengths, proving they travel at different speeds by adding the frequency and wavelength of both waves, which results in the same total

Explanation:

Step1: Recall wave - speed formula

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.

Step2: Calculate speed of Wave A

For Wave A, with $f_A=4\ Hz$ and $\lambda_A = 0.75\ m$, we have $v_A=f_A\lambda_A=4\times0.75 = 3\ m/s$.

Step3: Calculate speed of Wave B

For Wave B, with $f_B = 8\ Hz$ and $\lambda_B=0.375\ m$, we have $v_B=f_B\lambda_B=8\times0.375=3\ m/s$.

Answer:

B. by multiplying the frequency and wavelength of both waves, which gives the same speed for both