Question

Use the table to answer the 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 L
wave L

wave O
wave O

wave M
wave M

Answer 1

To determine which wave has the lowest frequency, we can 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, all waves have the same speed \( v = 600 \, \text{m/s} \). We'll 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, comparing the frequencies:
- Wave L: 5 Hz
- Wave M: 4 Hz
- Wave N: 6 Hz
- Wave O: 12 Hz

The wave with the lowest frequency is **wave M** with a frequency of 4 Hz.

So the answer is:

**wave M**