Question

The speed of a wave is 2m/s , and its wavelength 0.4 meters. What is the period of the wave? Remember that period is not the same as frequency.(1 point)
Responses

0.2 seconds
0.2 seconds

2 seconds
2 seconds

0.8 seconds
0.8 seconds

5 seconds

Answer 1

To find the period of a wave, you can use the relationship between speed (v), wavelength (λ), frequency (f), and period (T). The relationship is given by:

- Speed (v) = Wavelength (λ) × Frequency (f)
- Frequency (f) = 1 / Period (T)

From your data:

- Speed (v) = 2 m/s
- Wavelength (λ) = 0.4 m

First calculate the frequency:

\[
f = \frac{v}{λ} = \frac{2 \, \text{m/s}}{0.4 \, \text{m}} = 5 \, \text{Hz}
\]

Now, calculate the period using the formula:

\[
T = \frac{1}{f} = \frac{1}{5 \, \text{Hz}} = 0.2 \, \text{seconds}
\]

So the correct answer is:

**0.2 seconds**