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 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.