se 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 N
wave N

wave M
wave M

wave L
wave L

wave O
wave O
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1 answer

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

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

Where:

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

The wave speed (vw) is the same (600 m/s) for all waves in the table. We can 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, 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 correct answer is:

wave M

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