Question

se 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 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 can use the formula for frequency:

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

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

The wave speed (vw) is the same (600 m/s) for all waves in 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, let's compare 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 correct answer is:

**wave M**