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

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

Options:

  1. Wavelength is directly proportional to frequency
  2. Wavelength is inversely proportional to frequency
  3. Wavelength is equal to frequency
  4. Wavelength and frequency are unrelated

Correct Answer: Wavelength is inversely proportional to frequency

Solution: 

The relationship is given by the equation v = fλ, where v is the wave speed, f is the frequency, and λ is the wavelength. Thus, wavelength is inversely proportional to frequency.

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

Practice Questions

Q1
What is the relationship between the wavelength and frequency of a wave?
  1. Wavelength is directly proportional to frequency
  2. Wavelength is inversely proportional to frequency
  3. Wavelength is equal to frequency
  4. Wavelength and frequency are unrelated

Questions & Step-by-Step Solutions

What is the relationship between the wavelength and frequency of a wave?
Correct Answer: Wavelength is inversely proportional to frequency.
  • Step 1: Understand that waves have two important properties: wavelength and frequency.
  • Step 2: Wavelength (λ) is the distance between two consecutive points of a wave, like from one peak to the next peak.
  • Step 3: Frequency (f) is how many waves pass a point in one second, measured in Hertz (Hz).
  • Step 4: The speed of a wave (v) is how fast the wave travels through a medium.
  • Step 5: The relationship between these three properties is described by the equation v = fλ.
  • Step 6: Rearranging the equation shows that wavelength (λ) can be found by dividing wave speed (v) by frequency (f): λ = v/f.
  • Step 7: This means that if the frequency increases, the wavelength decreases, and vice versa. They are inversely proportional.
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