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In Fraunhoffer diffraction for single slit central maxima is bright on the both side of it, maxima & minima occurs symmetrically.

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For Diffraction Maxima: a sinθ=2n+1λ2
For Diffraction Minima:  a sin θ = n λ

Light of wavelength λ  passes through a single slit of width W and forms a diffraction pattern on a viewing screen. If this light is then replaced by light of wavelength 2 λ , the original diffraction pattern is exactly reproduced if the width of the slit is changed to

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Important Questions on Wave Optics

EASY
A slit of width a is illuminated by red light of wavelength 6500 A. If the first diffraction minimum falls at 30°, then the value of a is
EASY
In a Fraunhofer diffraction at a single slit, if yellow light illuminating the slit is replaced by blue light, then diffraction bands
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A parallel beam of monochromatic light of wavelength 5625 A passes through a long slit of width 0.25 mm. The angular divergence in which most of the light is diffracted is
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Diffraction pattern from a single slit is shown in the figure. The point at which the path difference between two extreme rays from the slit is twice the wavelength is given by the point

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A Fraunhofer diffraction pattern due to a single slit of width 0.3 mm is obtained on a screen placed at a distance of 3 m from the slit. The first minima lie at 5.5 mm on either side of the central maximum on the screen. The wavelength of light used is
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A diffraction pattern obtained from a double slit illuminated with monochromatic light is shown in the figure. The dotted line in the figure shows the diffraction envelope while the solid lines give the double slit interference fringes. The experimenter has an arrangement to keep the separation between the slits (d) fixed, but varies the width of the slits (a). The intensities of the peaks marked by 1 and 2 are I1 and I2 respectively. If the slits are made narrower while keeping the separation fixed, then the ratio I2 I1

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MEDIUM
A plane wavefront of wavelength λ is incident on a single slit of width a. The angular width of the principal maximum is
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At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is:
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A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern
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When the frequency of the light used is changed from 4×1014 s-1 to 5×1014 s-1, the angular width of the principal (central) maximum in a single slit Fraunhofer diffraction pattern changes by 0.6 radian. What is the width of the slit (assume that the experiment is performed in vacuum)?

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A single slit diffraction pattern is formed using white light. For what wavelength does the third minimum coincide with the second secondary maximum produced by wavelength of 600nm?
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Light of wavelength λ is incident on a single slit of width a and the distance between slit and screen D. In diffraction pattern, if slit width is equal to the width of the central maximum then D is equal to
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Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is _____ ×10-5 m
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A diffraction pattern is obtained by making blue light incident on a narrow slit. If blue light is
replaced by red light, then the diffraction bands _______.
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In a diffraction pattern due to a single slit of width a the first minimum is observed at an angle 30o when light of wavelength 5000  is incident on the slit. The first secondary maximum is observed at an angle of:
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A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5×10-5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is
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A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum py in the y - direction then for a majority of electrons passing through the slit (h is Planck's constant):

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MEDIUM
In a Fraunhofer diffraction experiment, a single slit of width 0.5 mm is illuminated by a monochromatic light of wavelength 600 nm. The diffraction pattern is observed on a screen at a distance of 50 cm from the slit. What will be the linear separation of the first order minima?
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When a light of wavelength 6328 Ao is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be ___.
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For a parallel beam of monochromatic light of wavelength λ, diffraction is produced by a single slit whose width a is of the order of the wavelength of the light. If D is the distance of the screen from the slit, the width of the central maxima will be: