A beam of light (.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 the first dark fringes on either side of the central bright fringe is

Question

A beam of light (.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 the 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

Distance between 1s t order dark fringes = width of principle maximum X=(2 λ D/d) =(2 × 600 × 10- 9 × 2/10- 3) =2400× 10- 6 =2.4× 10- 3m =2.4mm

Q. A beam of light $(λ = 600 nm)$ 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 the first dark fringes on either side of the central bright fringe is

1.2 cm

1.2 mm

2.4 cm

2.4 mm

Distance between $1^{s t}$ order dark fringes = width of principle maximum
$X = \frac{2 λ D}{d}$
$= \frac{2 \times 600 \times 1 0 ^{- 9} \times 2}{1 0 ^{- 3}}$
$= 2400 \times 1 0^{- 6}$
$= 2.4 \times 1 0^{- 3} m$
$= 2.4 mm$

Q. A beam of light (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 the first dark fringes on either side of the central bright fringe is