A beam of light of λ=600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is

Question

A beam of light of λ=600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is (A) 1.2 cm (B) 1.2 mm (C) 2.4 cm (D) 2.4 mm

Tardigrade Admin · Accepted Answer

Here, λ=600 nm =600 × 10-9 m a=1 mm =10-3 m , D=2 m Distance between the first dark fringes on either side of the central bright fringe is also the width of central maximum. Width of central maximum =(2 λ D/a) =(2 × 600 × 10-9 m × 2 m /10-3 m ) =24 × 10-4 m =2.4 × 10-3 m =2.4 mm

Q. A beam of light of λ=600nm from a distant source falls on a single slit 1mm wide and the resulting diffraction pattern is observed on a screen 2m away. The distance between first dark fringes on either side of the central bright fringe is

1.2 cm

1.2 mm

2.4 cm

2.4 mm

Here, λ=600nm=600×10−9m a=1mm=10−3m,D=2m Distance between the first dark fringes on either side of the central bright fringe is also the width of central maximum. Width of central maximum =a2λD​ =10−3m2×600×10−9m×2m​ =24×10−4m =2.4×10−3m =2.4mm

Q. A beam of light of $λ = 600 nm$ from a distant source falls on a single slit $1 mm$ wide and the resulting diffraction pattern is observed on a screen $2 m$ away. The distance between first dark fringes on either side of the central bright fringe is