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  4. A parallel beam of monochromatic light of wavelength 5000Å is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

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Q. A parallel beam of monochromatic light of wavelength $5000Å$ is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to

NTA AbhyasNTA Abhyas 2022Wave Optics

Solution:

For first minimum, $asin \theta = n \lambda = 1 \lambda $
$sin \theta = \frac{\lambda }{a} = \frac{5000 \times 10^{- 10}}{0.001 \times 10^{- 3}} = 0.5$
$\theta =30^{o}$