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

2 seconds
2 seconds

0.2 seconds
0.2 seconds

5 seconds
5 seconds

Answer 1

To find the period of the wave, we need to first determine the frequency using the wave speed and wavelength.

The formula for wave speed (\(v\)) is:

\[ v = f \times \lambda \]

where:
- \(v\) is the wave speed,
- \(f\) is the frequency,
- \(\lambda\) is the wavelength.

We know that:
- \(v = 2 \, \text{m/s}\)
- \(\lambda = 0.4 \, \text{m}\)

Now we can solve for frequency (\(f\)):

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

Next, we can find the period (\(T\)) of the wave, which is related to frequency by the formula:

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

Substituting the frequency we calculated:

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

Therefore, the period of the wave is \( \textbf{0.2 seconds} \).