Practice question
Question
What is the phase difference for destructive interference in a double-slit experiment when the path
difference is \( \lambda \)?
Explanation
**Convex lens focusing** plane wave into point because lens introduces phase delay proportional to thickness, converting plane wavefront to spherical converging to focal point, property ensures rays parallel to axis meet at focus, spherical aberration minimized for paraxial rays, lensmaker's formula determines focal length. Phase difference Φ = (2π/λ) Δ . For Δ = λ , Φ = (2π/λ) · λ = 2π , which is constructive, not destructive. Destructive interference requires Φ = (2n + 1)π , but the question specifies Δ = λ , so let’s correct context: typically λ/2 gives π . Assuming typo in question intent, for λ/2 , Φ =
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