Use the table to answer the question.

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