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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?

AThe wave has traveled 32.4 cm in 3 seconds.
BThe wave has traveled 32.4 cm in 9 seconds.
CThe wave has traveled 97.2 cm in 3 seconds.
DThe wave has traveled 97.2 cm in 1 second.

Verified Answer :

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 : (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.

\(u=\dfrac{1}{T}\)

Where,

T is the time period of the wave

\(T=\dfrac{1}{3}\ s\)

Speed of the wave is given by :

\(s=\dfrac{\lambda}{t}\)

\(s=\dfrac{32.4\ cm}{\dfrac{1}{3}\ s}\)

\(s=97.2\ cm/s\)

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

Hence, this is the required solution.