A long rope is fixed at one end and the free end is made to oscillate in one plane at right angles to the rope with a frequency of 4Hz.The successive crest are 0.6 apart.Calculate the speed of the wave
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v = fλ
To calculate the speed of the wave, we need to know the frequency and the wavelength of the wave.
From the given information, we know the frequency is 4 Hz. This means that the wave completes 4 oscillations (or cycles) per second.
The wavelength can be determined by the distance between two successive crests. In this case, the distance between two successive crests is given as 0.6 meters.
The formula to calculate the speed of a wave is: speed = frequency × wavelength.
Plugging in the values we have:
speed = 4 Hz × 0.6 m = 2.4 m/s.
Therefore, the speed of the wave is 2.4 m/s.