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Question

What is the condition for destructive interference in a double-slit experiment?

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Explanation

**Wavefront types** point source spherical, distant point source plane, after convex lens plane wave focuses to point because lens adds phase delay proportional to thickness, converging spherical wavefront, after concave mirror plane wave becomes spherical converging to focus, illustrating Huygens construction. Destructive interference occurs when the path difference is an odd multiple of half the wavelength, i.e., Δ = (n + (1/2))λ . Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ, I = I₀ cos²θ, n = c/v, sinC = 1/n, λ' = λ/n and A = 2a cos(φ/2), calculation gives Path difference = (n + (1/2))λ, illustrating interference, diffraction and polarization principles.

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