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:
-
Wave L: \[ f_L = \frac{600, \text{m/s}}{120, \text{m}} = 5, \text{Hz} \]
-
Wave M: \[ f_M = \frac{600, \text{m/s}}{150, \text{m}} = 4, \text{Hz} \]
-
Wave N: \[ f_N = \frac{600, \text{m/s}}{100, \text{m}} = 6, \text{Hz} \]
-
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