Question

In a Frounhofer diffraction experiment, a single slit of width \(0.5 \mathrm{~mm}\) is illuminated by a monochromatic light of wavelength \(600 \mathrm{~nm}\). The diffraction pattern is observed on a screen at a distance of \(50 \mathrm{~cm}\) from the slit. What will be the linear separation of the first order minima?
(A) \(1.0 \mathrm{~nm}\)
(B) \(1.1 \mathrm{~nm}\)
(C) \(0.6 \mathrm{~mm}\)
(D) \(1.2 \mathrm{~nm}\)

Answer 1

Ans:(D)
 \(d=0.5 \mathrm{~mm}\).
\(\lambda=600 \mathrm{~nm} .\) Width of central maxima \(=\frac{2 \lambda D}{d}\)
\(D=50 \mathrm{~cm}\)
\(\frac{2 \lambda D}{d}=\frac{2 \times 600 \times 50 \times 10^{-2} \times 10^{-9}}{0.5 \times 10^{-3}}=1.2 \mathrm{~mm}\)

Answer 2

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