Question

The speed of a wave is 2 m/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

0.8 seconds
0.8 seconds

5 seconds
5 seconds

2 seconds
2 seconds

0.2 seconds

Answer 1

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

1. The speed of the wave:
\( v = f \cdot \lambda \)

2. The relationship between frequency and period:
\( f = \frac{1}{T} \)

Rearranging the first formula gives us:
\( f = \frac{v}{\lambda} \)

Now, substituting the values:
- Speed \( v = 2 \, \text{m/s} \)
- Wavelength \( \lambda = 0.4 \, \text{m} \)

Calculate the frequency:
\( f = \frac{2}{0.4} = 5 \, \text{Hz} \)

Now, using the relationship between frequency and period:
\( T = \frac{1}{f} = \frac{1}{5} = 0.2 \, \text{seconds} \)

Therefore, the correct answer is:

**0.2 seconds**