Question

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 L
wave L

wave N
wave N

wave M
wave M

wave O

Answer 1

To determine which wave has the lowest frequency, we can use the formula that relates wave speed (v), wavelength (λ), and frequency (f):

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

Given that the wave speed (vw) for all waves is 600 m/s, we can calculate the frequency for each wave using their respective wavelengths (λ):

1. Wave L:

   • λ = 120 m
   • \( f_L = \frac{600}{120} = 5 , \text{Hz} \)

2. Wave M:

   • λ = 150 m
   • \( f_M = \frac{600}{150} = 4 , \text{Hz} \)

3. Wave N:

   • λ = 100 m
   • \( f_N = \frac{600}{100} = 6 , \text{Hz} \)

4. Wave O:

   • λ = 50 m
   • \( f_O = \frac{600}{50} = 12 , \text{Hz} \)

Now, we can 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 (4 Hz).

So the answer is wave M.