Question

Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate?

a.The wave has traveled 32.4 cm in 3 seconds.
b.The wave has traveled 32.4 cm in 9 seconds.
c.The wave has traveled 97.2 cm in 3 seconds.
d.The wave has traveled 97.2 cm in 1 second.

Answer 1

d.The wave has traveled 97.2 cm in 1 second.

Step-by-step explanation:

As we know that the speed of the wave is given as

`v = \lambda f`

so we will have

`\lambda = 32.4 cm`

`\lambda = 0.324 m`

frequency of the wave is given as

`f = 3 Hertz`

now we know that

`v = \lambda f`

`v = 0.324 * 3`

`v = 0.972 m/s`

so wave will travel 97.2 cm in 1 s

Answer 2

Recall that to compute for the wave's speed, v, we have v = λf where λ is the wavelength of wave and f is wave's frequency. Plugging our information into this equation, we have v = (32.4 cm)(3 Hz) = 97.2 cm/s Thus, the statement that best describes this is D.