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, $\nu=3\ Hz$

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

i.e.

$\nu=\dfrac{1}{T}$

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.