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What is the frequency of a wave traveling at 5,000 m/s with a wavelength of .002 m/cycle?

1 Answer

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Answer:


2.5\cdot 10^6 Hz

Step-by-step explanation:

The relationship between the speed of a wave, its frequency and its wavelength is given by the wave equation:


v=f\lambda

where

v is the wave speed

f is the frequency of the wave, which is the number of cycles completed by the wave in one oscillation


\lambda is the wavelength, which is the distance between two consecutive crests of the wave

For the wave in this problem we have:

v = 5000 m/s is the speed


\lambda=0.002 m is the wavelength of the wave

Solving for f, we find the frequency:


f=(v)/(\lambda)=(5000)/(0.002)=2.5\cdot 10^6 Hz

User Andrea Rossi
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