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?

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Q: 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?

Solution: The phase difference (Δφ) is given by (2π/λ) * path difference. For a path difference of λ/4, Δφ = (2π/λ) * (λ/4) = π/2 radians.

Steps: 6

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.