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Question

What is the condition for the third secondary maximum in a single-slit diffraction pattern?

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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. Secondary maxima occur at θ ≈ ((n + (1/2))λ/a) . For the third secondary maximum, n = 3 , θ ≈ (7λ/2a) . 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 θ = (7λ/2a),

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