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Modeling Waves Quick Check

3 of 43 of 4 Items

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 O
wave O

wave M
wave M

wave N
wave N

wave L
wave L
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1 answer

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

\[ f = \frac{vw}{λ} \]

We can calculate the frequency for each wave using the provided data:

  1. Wave L:

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

  2. Wave M:

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

  3. Wave N:

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

  4. Wave O:

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

Now let's 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 with a frequency of 4 Hz.

So the answer is:

wave M