A beam of light of wavelength 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 the first dark fringe on either side of the central bright fringe is (a) 1.2 mm (b) 2.4 mm (c) 1.2 cm (d) 2.4 cm

Answer: (b). Distance between first dark fringes on either side: W = (2Dλ)/(a). W = 2 × 2 × 600×10⁻⁹1×10⁻³ = 2.4×10⁻³ m So the answer is (b) 2.4 mm.

A beam of light of wavelength 600 nm from a distant source falls on a… | MHT CET 2023 (11 May, Shift 2)

Q44MHT CET 2023 · 11 MAY · SHIFT 2Easy

Diffraction at a Single Slit

A beam of light of wavelength $600\text{ nm}$ from a distant source falls on a single slit $1\text{ mm}$ wide and the resulting diffraction pattern is observed on a screen $2\text{ m}$ away. The distance between the first dark fringe on either side of the central bright fringe is

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Answer: (b)

Distance between first dark fringes on either side: $W = \dfrac{2D\lambda}{a}$ .
$W = \dfrac{2 \times 2 \times 600\times10^{-9}}{1\times10^{-3}} = 2.4\times10^{-3}\text{ m}$
So the answer is (b) $2.4\text{ mm}$ .

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