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Question

# A beam of light of wavelength 600 nm from a distant source falls on a single slit 1.00 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringe on either side of the central maxima is :

A
1.2 cm
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B
1.2 mm
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C
2.4 mm
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D
4.8 mm
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Solution

## The correct option is C 2.4 mmCondition for obtaining mth order minima is asinθ=mλThus for obtaining first diffraction minima,asinθ=λ⟹sinθ=600×10−9m10−3m≈tanθ=yD⟹y=1.2 mmThus distance between fringes on either side=2×y=2.4 mm

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