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#third minimum

2 public questions tagged with this topic.

What is the angular position of the third minimum in a single-slit diffraction pattern if the slit width is \( 10.0 \, \

**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 = 6.0 × 10⁻⁷ m , a = 1.0 × 10⁻⁵ m . sin θ = (3 × 6.0 × 10⁻⁷/1.0 × 10⁻⁵) = 0.18 , θ = sin⁻¹(0.18) ≈ 10.4° . Using Δ = d sinθ, y = n λ D/d, a sinθ = n λ,

Ref: NCERT > Physics Book > Wave Optics > Wavefront and Huygens Principle

What is the angular position of the third minimum in a single-slit diffraction pattern if the slit width is \( 6.0 \, \m

**Diffraction bending** property of light waves causes bending around corners, width of central maximum inversely proportional to slit width, intensity of secondary maxima decreases with order because less constructive interference, angular position of minima θ_n = n λ/a, n=±1,±2..., second minimum n=2, third n=3, condition for third secondary maximum approx a sinθ = (2n+1)λ/2. Minima occur at sin θ = (nλ/a) . For the third minimum, n = 3 . λ = 4.8 × 10⁻⁷ m , a = 6.0 × 10⁻⁶ m . sin θ = (3 × 4.8 × 10⁻⁷/6.0 × 10⁻⁶) = 0.24 , θ = sin⁻¹(0.24) ≈ 13.9° . Using Δ

Ref: NCERT > Physics Book > Wave Optics > Diffraction - Single-Slit and Central Maximum