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Two coherent sources of sound produce waves of the same frequency. If the path d

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Question: Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves is 0.5 m, what is the phase difference?

Options:

  1. 0 rad
  2. π/2 rad
  3. π rad
  4. 3π/2 rad

Correct Answer: π/2 rad

Solution: 

Phase difference (φ) = (2π/λ) * path difference. Given λ = 1 m, φ = (2π/1) * 0.5 = π rad.

Two coherent sources of sound produce waves of the same frequency. If the path d

Practice Questions

Q1
Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves is 0.5 m, what is the phase difference?
  1. 0 rad
  2. π/2 rad
  3. π rad
  4. 3π/2 rad

Questions & Step-by-Step Solutions

Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves is 0.5 m, what is the phase difference?
  • Step 1: Understand that coherent sources produce waves of the same frequency.
  • Step 2: Know that the phase difference (φ) can be calculated using the formula φ = (2π/λ) * path difference.
  • Step 3: Identify the given path difference, which is 0.5 m.
  • Step 4: Determine the wavelength (λ). In this case, it is given as 1 m.
  • Step 5: Substitute the values into the formula: φ = (2π/1) * 0.5.
  • Step 6: Calculate the result: φ = 2π * 0.5 = π rad.
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