Practice question
Question
What is the angular position of the third minimum in a single-slit diffraction pattern if the slit
width is \( 4.0 \, \mu\text{m} \) and the wavelength is \( 400 \, \text{nm} \)?
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. Minima occur at sin θ = (nλ/a) . For the third minimum, n = 3 . λ = 4.0 × 10⁻⁷ m , a = 4.0 × 10⁻⁶ m . sin θ = (3 × 4.0 × 10⁻⁷/4.0 × 10⁻⁶) = 0.3 , θ = sin⁻¹(0.3) ≈ 17.5° . Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ,
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