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A wave travels 600 m/s at a frequency of 200 hz. what is its wavelength?

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nuhulawal20

The wavelength of the wave traveling at the given velocity and frequency is 3m.

Given the data in the question;

  • Velocity of wave; [tex]v = 600m/s[/tex]
  • Frequency; [tex]f = 200Hz = 200s^{-1}[/tex]
  • Wavelength; [tex]\lambda = \ ?[/tex]

Wavelength

Wavelength is simply defined as the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity and f is frequency.

To determine the wavelength of the wave, we substitute our given values into the expression above.

[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{600m/s}{200s^{-1}} \\\\\lambda = \frac{600ms/s}{200}\\\\\lambda = 3m[/tex]

Therefore,  the wavelength of the wave traveling at the given velocity and frequency is 3m.

Learn more about wavelength: brainly.com/question/27120701

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