If two coherent sources of light are in phase, what will be the phase difference

Practice Questions

Q1
If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/4?
  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 3π/2 radians

Questions & Step-by-Step Solutions

If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/4?
Correct Answer: π/2 radians
  • Step 1: Understand that coherent sources of light are sources that emit light waves that are in phase with each other.
  • Step 2: Know that the phase difference (Δφ) can be calculated using the formula Δφ = (2π/λ) * path difference.
  • Step 3: Identify the given path difference, which is λ/4.
  • Step 4: Substitute the path difference into the formula: Δφ = (2π/λ) * (λ/4).
  • Step 5: Simplify the equation: Δφ = (2π/λ) * (λ/4) = (2π/4) = π/2 radians.
  • Step 6: Conclude that the phase difference at the point where the path difference is λ/4 is π/2 radians.
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