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In Young's double slit experiment, derive the condition for
(i) constructive interference and
(ii) destructive interference at a point on the screen.
Concept: Interference of Light Waves and Young’s Experiment
A beam of light consisting of two wavelengths, 800 nm and 600 nm is used to obtain the interference fringes in a Young's double slit experiment on a screen placed 1 · 4 m away. If the two slits are separated by 0·28 mm, calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths coincide.
Concept: Interference of Light Waves and Young’s Experiment
How does an unpolarized light incident on a polaroid get polarized? Describe briefly, with the help of a necessary diagram, the polarization of light by reflection from a transparent medium.
Concept: Interference of Light Waves and Young’s Experiment
Two polaroids ‘A’ and ‘B’ are kept in crossed position. How should a third polaroid ‘C’ be placed between them so that the intensity of polarized light transmitted by polaroid B reduces to 1/8th of the intensity of unpolarized light incident on A?
Concept: Interference of Light Waves and Young’s Experiment
When monochromatic light is incident on a surface separating two media, why does the refracted light have the same frequency as that of the incident light?
Concept: Refraction of Monochromatic Light
What is the effect on the interference fringes to a Young’s double slit experiment when
(i) the separation between the two slits is decreased?
(ii) the width of a source slit is increased?
(iii) the monochromatic source is replaced by a source of white light?
Justify your answer in each case.
Concept: Interference of Light Waves and Young’s Experiment
The intensity at the central maxima in Young’s double slit experimental set-up is I0. Show that the intensity at a point where the path difference is λ/3 is I0/4.
Concept: Interference of Light Waves and Young’s Experiment
Obtain the conditions for the bright and dark fringes in diffraction pattern due to a single narrow slit illuminated by a monochromatic source.
Explain clearly why the secondary maxima go on becoming weaker with increasing.
Concept: Refraction of Monochromatic Light
When the width of the slit is made double, how would this affect the size and intensity of the central diffraction band? Justify.
Concept: Width of Central Maximum
State with reason, how the linear width of the central maximum will be affected if
(i) monochromatic yellow light is replaced with red light, and
(ii) distance between the slit and the screen is increased.
Concept: Refraction of Monochromatic Light
Answer the following question.
Describe any two characteristic features which distinguish between interference and diffraction phenomena. Derive the expression for the intensity at a point of the interference pattern in Young's double-slit experiment.
Concept: Interference
Answer the following question.
In the diffraction due to a single slit experiment, the aperture of the slit is 3 mm. If monochromatic light of wavelength 620 nm is incident normally on the slit, calculate the separation between the first order minima and the 3rd order maxima on one side of the screen. The distance between the slit and the screen is 1.5 m.
Concept: Refraction of Monochromatic Light
Write the conditions on path difference under which constructive interference occurs in Young’s double-slit experiment.
Concept: Interference of Light Waves and Young’s Experiment
In a single slit diffraction experiment, the width of the slit is increased. How will the
- size and
- intensity
of central bright band be affected? Justify your answer.
Concept: Diffraction of Light >> The Single Slit
A plane wave front AB propagating from denser medium (1) into a rarer medium (2) is incident on the surface P1P2 separating the two media as shown in fig.
Using Huygen’s principle, draw the secondary wavelets and obtain the refracted wave front in the diagram.

Concept: Huygens' Principle
Write two points of difference between an interference pattern and a diffraction pattern.
Concept: Fraunhofer Diffraction Due to a Single Slit
How can you differentiate whether a pattern is produced by a single slit or double slit?
Concept: Fraunhofer Diffraction Due to a Single Slit
Derive the expression for the angular position of (i) bright and (ii) dark fringes produced in a single slit diffraction.
Concept: Fraunhofer Diffraction Due to a Single Slit
In Young's double slit experiment using light of wavelength 600 nm, the slit separation is 0.8 mm and the screen is kept 1.6 m from the plane of the slits. Calculate
- the fringe width
- the distance of (a) third minimum and (b) fifth maximum, from the central maximum.
Concept: Interference of Light Waves and Young’s Experiment
State two conditions for two light sources to be coherent.
Concept: Coherent and Incoherent Sources and Sustained Interference of Light
