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

We know, Speed = Wavelength * Frequency
Speed = 32.4 * 3
Speed = 97.2 m/s

So, option D is your correct answer.

Hope it helped.

Answer 2

Answer : (D) The wave has traveled 97.2 cm in 1 second

Explanation :

It is given that,

Wavelength of the wave is,
`\lambda=32.4\ cm`

Frequency of the wave,
`\\u=3\ Hz`

We know that the number of oscillation produced per second by a wave is called the frequency of the wave.

i.e.

`\\u=(1)/(T)`

Where,

T is the time period of the wave

`T=(1)/(3)\ s`

Speed of the wave is given by :

`s=(\lambda)/(t)`

`s=(32.4\ cm)/((1)/(3)\ s)`

`s=97.2\ cm/s`

So, the correct option is (D)" The wave has traveled 97.2 cm in 1 second ".

Hence, this is the required solution.