A certain wave propagating at 80 m/s makes 2 complete oscillations in each second. What is its period and wavelength?Group of answer choicesPeriod = 400 s. Wavelength = 160 m.Period = 0.5 s. Wavelength = 80 m.Period = 0.5 s. Wavelength = 40 m.Period = 2 s. Wavelength = 40 m.
Question
A certain wave propagating at 80 m/s makes 2 complete oscillations in each second. What is its period and wavelength?Group of answer choicesPeriod = 400 s. Wavelength = 160 m.Period = 0.5 s. Wavelength = 80 m.Period = 0.5 s. Wavelength = 40 m.Period = 2 s. Wavelength = 40 m.
Solution
The period of a wave is the time it takes for one complete cycle of the wave to pass a given point. It is the reciprocal of the frequency. In this case, the wave makes 2 complete oscillations per second, so the frequency is 2 Hz. Therefore, the period is 1 / frequency = 1 / 2 = 0.5 seconds.
The wavelength of a wave is the distance over which the wave's shape repeats. It is given by the speed of the wave divided by its frequency. In this case, the speed is 80 m/s and the frequency is 2 Hz. Therefore, the wavelength is speed / frequency = 80 / 2 = 40 meters.
So, the correct answer is: Period = 0.5 s. Wavelength = 40 m.
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