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Question

As the wavelength of a wave in a uniform medium increases, then what will happen with its frequency?


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Solution

  1. Wavelength is the property of a wave that shows the distance between two successive identical points. They can either be the distance between two successive crests, troughs, or even the identical mean positions.
  2. The diagram below marks the wavelength of a wave.

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Frequency can be defined as the number of complete cycles of a wave passing a point in unit time.

  1. In the above diagram, the upper one has the higher frequency as the number of wave cycle crossings per unit time is more in this case as compared to the lower one.
  2. As we can conclude from the above diagram, the more the number of wave cycles crossing per unit time more will be the frequency if we increase the wavelength, and the number of wave cycles crossing per unit time will decrease. Hence, the frequency will decrease.
  3. Therefore, the frequency will decrease if the wavelength of a wave in a uniform medium increases.

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