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Q.

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

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a

2.4 cm

b

1.2 mm

c

1.2 cm

d

2.4 mm

answer is D.

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Detailed Solution

$x = \frac{λ D}{d} = \frac{600 \times 10^{- 9} \times 2}{1 \times 10^{- 3}} = 12 \times 10^{- 4} m$

Distance between first minima on either side of central maxima

$= 2 x = 24 \times 10^{- 4} m = 2.4 m m$

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