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A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz.

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Question: A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)

Options:

  1. 4 m
  2. 2 m
  3. 3 m
  4. 1 m

Correct Answer: 4 m

Solution: 

Wavelength λ = v/f = 300 m/s / 75 Hz = 4 m.

A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz.

Practice Questions

Q1
A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)
  1. 4 m
  2. 2 m
  3. 3 m
  4. 1 m

Questions & Step-by-Step Solutions

A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)
  • Step 1: Identify the speed of the wave (v). In this case, it is 300 m/s.
  • Step 2: Identify the frequency of the wave (f). In this case, it is 75 Hz.
  • Step 3: Use the formula for wavelength (λ), which is λ = v / f.
  • Step 4: Substitute the values into the formula: λ = 300 m/s / 75 Hz.
  • Step 5: Perform the division: 300 divided by 75 equals 4.
  • Step 6: Conclude that the wavelength (λ) is 4 meters.
  • Wave Properties – The relationship between wave speed, frequency, and wavelength is fundamental in wave mechanics, expressed by the formula λ = v/f.
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