Question

In 1 minute, 1,200 cycles of a wave pass through a given point. If the wavelength of this wave is 10
meters, at what speed is the wave traveling? (1 point)
Answers below:
2 m/s

12,000 m/s

200 m/s

120 m/s

Answer 1

To find the speed of the wave, we can use the formula:

\[
\text{Speed} = \text{Frequency} \times \text{Wavelength}
\]

First, we need to determine the frequency of the wave. Since 1,200 cycles pass in 1 minute, we convert minutes to seconds:

\[
1 \text{ minute} = 60 \text{ seconds}
\]

Now, we can calculate the frequency in cycles per second (Hertz):

\[
\text{Frequency} = \frac{1200 \text{ cycles}}{60 \text{ seconds}} = 20 \text{ Hz}
\]

The wavelength is given as 10 meters. Now we can find the speed:

\[
\text{Speed} = 20 \text{ Hz} \times 10 \text{ m} = 200 \text{ m/s}
\]

Thus, the speed of the wave is **200 m/s**.