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

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

Options:

  1. Frequency is directly proportional to wavelength
  2. Frequency is inversely proportional to wavelength
  3. Frequency is independent of wavelength
  4. Frequency equals wavelength

Correct Answer: Frequency is inversely proportional to wavelength

Solution: 

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

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

Practice Questions

Q1
What is the relationship between frequency and wavelength in a wave?
  1. Frequency is directly proportional to wavelength
  2. Frequency is inversely proportional to wavelength
  3. Frequency is independent of wavelength
  4. Frequency equals wavelength

Questions & Step-by-Step Solutions

What is the relationship between frequency and wavelength in a wave?
Correct Answer: Frequency is inversely proportional to wavelength.
  • Step 1: Understand that waves move through space and have two important characteristics: frequency and wavelength.
  • Step 2: Frequency (f) is how many wave cycles pass a point in one second, measured in Hertz (Hz).
  • Step 3: Wavelength (λ) is the distance between two consecutive points of the wave, like from one peak to the next peak.
  • Step 4: The speed of the wave (v) is how fast the wave travels through space.
  • Step 5: The relationship between frequency, wavelength, and speed is described by the equation v = fλ.
  • Step 6: Rearranging the equation shows that frequency (f) is equal to the speed (v) divided by the wavelength (λ): f = v/λ.
  • Step 7: This means that if the speed of the wave is constant, when the frequency increases, the wavelength decreases, and vice versa. This is called being inversely proportional.
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