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What is the relationship between the frequency and wavelength of a wave?

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Question: What is the relationship between the frequency and wavelength of a wave?

Options:

  1. Frequency = Wavelength × Speed
  2. Wavelength = Speed / Frequency
  3. Speed = Frequency × Wavelength
  4. All of the above

Correct Answer: All of the above

Solution: 

The relationship is given by the equation Speed = Frequency × Wavelength, which can be rearranged to show the other relationships.

What is the relationship between the frequency and wavelength of a wave?

Practice Questions

Q1
What is the relationship between the frequency and wavelength of a wave?
  1. Frequency = Wavelength × Speed
  2. Wavelength = Speed / Frequency
  3. Speed = Frequency × Wavelength
  4. All of the above

Questions & Step-by-Step Solutions

What is the relationship between the frequency and wavelength of a wave?
Correct Answer: Speed = Frequency × Wavelength
  • Step 1: Understand that waves travel through space and have two important characteristics: frequency and wavelength.
  • Step 2: Frequency is how many waves pass a point in one second, measured in Hertz (Hz).
  • Step 3: Wavelength is the distance between two consecutive points of the wave, like from one peak to the next peak.
  • Step 4: The speed of a wave is how fast it travels, and it can be calculated using the formula: Speed = Frequency × Wavelength.
  • Step 5: If you know the speed of the wave, you can find the frequency if you know the wavelength, or vice versa.
  • Step 6: Rearranging the formula gives you: Frequency = Speed / Wavelength and Wavelength = Speed / Frequency.
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