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Q.

A narrow slit of width 1 mm is illuminated by monochromatic light of wavelength 600 nm. The distance between the first minima on either side of a screen at a distance of 2 m 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

For first dark fringe on either side,     dsinθ=λ  ⇒dyD=λ        [sinθ ≃ tan θ] ∴y=λDd  Therefore, distance between two dark fringes on either side = 2y=2λDd Substituting the values, we have distance = 2600×10−6mm2×103mm1.0mm=2.4 mm
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