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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 N
wave N

wave O
wave O

wave M
wave M

wave L
wave L
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1 answer

To find the wave with the lowest frequency, we can use the formula for frequency:

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

where \( f \) is the frequency, \( v \) is the speed of the wave, and \( \lambda \) is the wavelength.

All waves in the table have the same wave speed \( v = 600 , \text{m/s} \). 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, which has a frequency of 4 Hz.

So, the answer is:

wave M