Which two waves, with the properties listed below, travel at the same speed?(Select two answers below)Group of answer choiceswavelength = 3m, frequency = 6 cycles/swavelength = 5m, frequency = 3 cycles/swavelength = 3m, frequency = 4 cycles/swavelength = 4m, frequency = 4 cycles/swavelength = 4m, frequency = 5 cycles/swavelength = 2m, frequency = 6 cycles/swavelength = 5m, frequency = 5 cycles/s
Question
Which two waves, with the properties listed below, travel at the same speed?(Select two answers below)Group of answer choiceswavelength = 3m, frequency = 6 cycles/swavelength = 5m, frequency = 3 cycles/swavelength = 3m, frequency = 4 cycles/swavelength = 4m, frequency = 4 cycles/swavelength = 4m, frequency = 5 cycles/swavelength = 2m, frequency = 6 cycles/swavelength = 5m, frequency = 5 cycles/s
Solution
The speed of a wave can be calculated using the formula: speed = wavelength * frequency.
Let's calculate the speed for each of the given waves:
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wavelength = 3m, frequency = 6 cycles/s Speed = 3m * 6 cycles/s = 18 m/s
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wavelength = 5m, frequency = 3 cycles/s Speed = 5m * 3 cycles/s = 15 m/s
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wavelength = 3m, frequency = 4 cycles/s Speed = 3m * 4 cycles/s = 12 m/s
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wavelength = 4m, frequency = 4 cycles/s Speed = 4m * 4 cycles/s = 16 m/s
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wavelength = 4m, frequency = 5 cycles/s Speed = 4m * 5 cycles/s = 20 m/s
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wavelength = 2m, frequency = 6 cycles/s Speed = 2m * 6 cycles/s = 12 m/s
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wavelength = 5m, frequency = 5 cycles/s Speed = 5m * 5 cycles/s = 25 m/s
From the calculations, the waves with the same speed are:
- wavelength = 3m, frequency = 4 cycles/s
- wavelength = 2m, frequency = 6 cycles/s
Both have a speed of 12 m/s.
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