A parallel beam of monochromatic light of wavelength 600 nm passes through single slit of 0.4 mm width. Angular divergence corresponding to second order minima would b e _____ × 10⁻³ rad.
Physics · Wave Optics · diffraction of light
JEE Mains 2024 08 Apr Morning Shift

Question

A parallel beam of monochromatic light of wavelength 600 nm passes through single slit of 0.4 mm width. Angular divergence corresponding to second order minima would b e _____ × 10⁻³ rad.

G1 Physics · Accepted Answer

For second-order minimum: a sinθ = 2λ For small angle: θ ≈ 2λ/a = [2 × 600 × 10⁻⁹]/[0.4 × 10⁻³] = 3 × 10⁻³ rad The angular divergence between the two second-order minima is: 2θ = 6 × 10⁻³ rad Hence: answer = 6