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, and \( \lambda \) is the wavelength.
Looking at the data provided:
- Wave L: \( \lambda = 120 , m \), \( v = 600 , m/s \)
- Wave M: \( \lambda = 150 , m \), \( v = 600 , m/s \)
- Wave N: \( \lambda = 100 , m \), \( v = 600 , m/s \)
- Wave O: \( \lambda = 50 , m \), \( v = 600 , m/s \)
Now let's calculate the frequency for each wave:
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Wave L: \[ f_L = \frac{600}{120} = 5 , Hz \]
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Wave M: \[ f_M = \frac{600}{150} = 4 , Hz \]
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Wave N: \[ f_N = \frac{600}{100} = 6 , Hz \]
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Wave O: \[ f_O = \frac{600}{50} = 12 , Hz \]
Now comparing the frequencies:
- Wave L: 5 Hz
- Wave M: 4 Hz
- Wave N: 6 Hz
- Wave O: 12 Hz
Wave M has the lowest frequency of 4 Hz.
The answer is: wave M.