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Question: A beam of light of wavelength 600 nm from a distant source falls on a single slit 1mm wide and the r...

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

Answer

2.4 mm

Explanation

Solution

2Dλa\frac{2D\lambda}{a} = 2×2×6×10−71×10−3\frac{2 \times 2 \times 6 \times 10^{- 7}}{1 \times 10^{- 3}}= 24 × 10–4 m

= 2.4 × 10–3 m = 2.4 mm