Question

The speed of a wave is 2ms
, 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

0.8 seconds
0.8 seconds

5 seconds
5 seconds

0.2 seconds
0.2 seconds

2 seconds

Answer 1

To calculate the period of a wave, you can use the relationship between speed (v), wavelength (λ), frequency (f), and period (T). The speed of a wave can be expressed as:

\[
v = f \cdot \lambda
\]

Where:
- \( v \) is the speed of the wave
- \( f \) is the frequency
- \( \lambda \) is the wavelength

The period (T) of a wave is the inverse of the frequency:

\[
T = \frac{1}{f}
\]

First, let's find the frequency using the speed and wavelength:

Given:
- Speed, \( v = 2 \, \text{m/s} \)
- Wavelength, \( \lambda = 0.4 \, \text{m} \)

Substituting into the wave speed equation:

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

Now that we have the frequency, we can find the period:

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

Therefore, the period of the wave is **0.2 seconds**.