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 M
wave M

wave L
wave L

wave O
wave O

wave N

Answer 1

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

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

where:

• \( f \) is the frequency,
• \( v \) is the wave speed,
• \( \lambda \) is the wavelength.

In the table, the wave speed \( v \) is constant at 600 m/s for all waves. We need to 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 Hz.

So, the answer is: wave M.