A beam of light of wavelength 600 nm 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 central bright fringe is

Question

A beam of light of wavelength 600 nm 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 central bright fringe is (A) 1.2 cm (B) 1.2 mm (C) 2.4 cm (D) 2.4 mm

Tardigrade Admin · Accepted Answer

The distance between the first dark fringes on either side of central bright fringe is ⇒ 2y=(2 D λ /a) ⇒ 2y=(2 × 2 × 6 × 1 0- 7/1 × 1 0- 3) ⇒ 2y=24× 10- 4 m ⇒ 2y=2.4 mm

Q. A beam of light of wavelength $600 nm$ 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 central bright fringe is

$1.2 c m$

$1.2 mm$

$2.4 c m$

$2.4 mm$

The distance between the first dark fringes on either side of central bright fringe is
$\Rightarrow 2 y = \frac{2 D λ}{a}$
$\Rightarrow 2 y = \frac{2 \times 2 \times 6 \times 1 0 ^{- 7}}{1 \times 1 0 ^{- 3}}$
$\Rightarrow 2 y = 24 \times 1 0^{- 4} m$
$\Rightarrow 2 y = 2.4 mm$

Q. A beam of light of wavelength 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 central bright fringe is

1.2cm

1.2mm

2.4cm

2.4mm