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Q.

A beam of light of wave length 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

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a

1.2 cm

b

1.2 mm

c

2.4 cm

d

2.4 mm

answer is D.

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Detailed Solution

Given: D = 2 m; d =1 mm = 1 x 10-3 m, λ = 600 nm = 600 x 10-9 m

Width of central bright fringe (=2θD)

=2λDd=2×600×109×21×103m=2.4×103 m=2.4 mm

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