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

0.2 seconds
0.2 seconds

2 seconds
2 seconds

5 seconds

Answer 1

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

1. Speed: \( v = f \cdot \lambda \)
2. Period (T) is the inverse of frequency: \( T = \frac{1}{f} \)

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

First, we need to calculate the frequency (f):

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

Now, we find the period (T):

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

So the correct answer is:

**0.2 seconds**