Question

Wave λ
(m) vw
(m/s)
L 120 600
M 150 600
N 100 600
O 50 600
The table shows information about four waves. Which wave has the lowest frequency?

(1 point)
Responses

wave N
wave N

wave M
wave M

wave L
wave L

wave O
wave O
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Answer 1

To determine which wave has the lowest frequency, we use the formula for frequency \( f \), which is given by:

\[
f = \frac{v}{\lambda}
\]

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

From the table, we can calculate the frequency for each wave:

1. **Wave L**:
\[
f_L = \frac{600 \, \text{m/s}}{120 \, \text{m}} = 5 \, \text{Hz}
\]

2. **Wave M**:
\[
f_M = \frac{600 \, \text{m/s}}{150 \, \text{m}} = 4 \, \text{Hz}
\]

3. **Wave N**:
\[
f_N = \frac{600 \, \text{m/s}}{100 \, \text{m}} = 6 \, \text{Hz}
\]

4. **Wave O**:
\[
f_O = \frac{600 \, \text{m/s}}{50 \, \text{m}} = 12 \, \text{Hz}
\]

Now, we compare the frequencies:

- \( f_L = 5 \, \text{Hz} \)
- \( f_M = 4 \, \text{Hz} \)
- \( f_N = 6 \, \text{Hz} \)
- \( f_O = 12 \, \text{Hz} \)

The wave with the lowest frequency is **Wave M** with a frequency of \( 4 \, \text{Hz} \).

Thus, the correct response is:

**wave M**