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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