What is the phase difference between two points on a wave that are 1/4 of a wave

Practice Questions

Q1
What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
  1. 0 rad
  2. π/2 rad
  3. π rad
  4. 3π/2 rad

Questions & Step-by-Step Solutions

What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
  • Step 1: Understand that a wave has a wavelength (λ), which is the distance between two consecutive points that are in phase.
  • Step 2: Recognize that the phase difference (Δφ) between two points on a wave can be calculated using the formula Δφ = (2π/λ) * Δx, where Δx is the distance between the two points.
  • Step 3: Identify that in this question, the two points are 1/4 of a wavelength apart, so Δx = λ/4.
  • Step 4: Substitute Δx into the formula: Δφ = (2π/λ) * (λ/4).
  • Step 5: Simplify the equation: Δφ = (2π/λ) * (λ/4) = (2π/4) = π/2.
  • Step 6: Conclude that the phase difference between the two points is π/2 radians.
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