In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is collected on a screen 100 cm away. The distance of first order minima from the central maximum will be x × 10⁻⁵ m. The value of x is :
Physics · Wave Optics · diffraction of light
JEE Mains 2024 05 Apr Evening Shift

Question

In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is collected on a screen 100 cm away. The distance of first order minima from the central maximum will be x × 10⁻⁵ m. The value of x is :

Physics · Wave Optics · diffraction of light

JEE Mains 2024 05 Apr Evening Shift

G1 Physics · Accepted Answer

For first minimum in single-slit diffraction: a sinθ = λ For small angle: y/D ≈ λ/a Therefore: y = λD/a = [550 × 10⁻⁹ × 1]/[0.20 × 10⁻³] = 2.75 × 10⁻³ m = 275 × 10⁻⁵ m Hence: x = 275