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 O
wave O

wave L

wave M

Answer 1

To determine which wave has the lowest frequency, we can use the wave equation:

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

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

Given that all waves have the same speed of \( 600 \, m/s \), we can calculate the frequency for each wave using their respective wavelengths:

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

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

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

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

Now comparing the frequencies:
- Wave L: 5 Hz
- Wave M: 4 Hz
- Wave N: 6 Hz
- Wave O: 12 Hz

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

So, the answer is **wave M**.