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In young's experiment, the upper slit is covered by a thin glass plate of refractive index 43 and of thickness 9λ, where λ is the wavelength of light used in the experiment. The lower slit is also covered by another glass plate of thickness 2λ and refractive index 32, as shown in figure. If I0 is the intensity at point P due to slits S1&S2 each, then:

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Important Questions on Wave Optics

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In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength λ=500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range -30oθ30o is:
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In Young's double slit experiment, what is the effect on the interference pattern if one of the slits is covered with a translucent paper?

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As shown in the figure, in Young's double slit experiment, a thin plate of thickness t=10 μm and refractive index μ=1.2 is inserted infront of slit S1. The experiment is conducted in air (μ=1) and uses a monochromatic light of wavelength λ=500 nm. Due to the insertion of the plate, central maxima is shifted by a distance of xβ0β0 is the fringe-width before the insertion of the plate. The value of the x is ______.

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HARD
While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the x-y plane containing two small holes that act as two coherent point sources S1, S2 emitting light of wavelength 600 nm. The student mistakenly placed the screen parallel to the x-z plane (for z>0) at a distance D=3 m from the mid-point of S1, S2 , as shown schematically in the figure. The distance between the sources d=0.6003 mm. The origin O is at the intersection of the screen and the line joining S1, S2 . Which of the following is (are) true of the intensity pattern on the screen?
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MEDIUM
In Young's double-slit experiment, the distance between slits and screen is 2 m and distance between slits is 0.25 mm. A light of wavelength 800 nm is used to find fringes on the screen. If the screen moves with a speed of 5 m s-1, then first maxima will move with a speed of:
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The intensity at the maximum in a Young's double slit experiment is I0. Distance between two slits is d=5λ, where λ is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D=10?
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In Young’s double slit experiment, two slits S1 and S2 are d distance apart and the separation from slits to screen is D (as shown in figure). Now if two transparent slabs of equal thickness 0.1 mm but refractive index 1.51 and 1.55 are introduced in the path of beam λ=4000 Å from S1 and S2 respectively. The central bright fringe spot will shift by ________ number of fringes.

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EASY

Two coherent point sources S1 and S2 are separated by a small distance d as shown in the figure. The fringes obtained on the screen will be

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MEDIUM
In Young's double-slit experiment, the distance between the slits and the screen is 1.2 m and the distance between the two slits is 2.4 mm. If a thin transparent mica sheet of thickness 1 μm and refractive index 1.5 is introduced between one of the interfering beams, the shift in the position of the central bright fringe is
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Interference fringes were produced in Young's double slit experiment using light of wavelength 6000 . When a transparent film of thickness 3×10-3 cm was placed over one of the slits, the fringe pattern is shifted by a distance equal to 20 fringe widths. The refractive index of the material of the film is
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Consider a Young's double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength λ such that the first minima occurs directly in front of the slit (S1) ?

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MEDIUM
The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gets shifted by a distance equal to n fringe width. If the wavelength of light used is λ then t will be:
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MEDIUM
In a Young's double slit experiment slit separation 0.1 mm, one observes a bright fringe at angle 140 rad by using light of wavelength λ1. When the light of wavelength λ2 is used a bright fringe is seen at the same angle in the same set up. Given that λ1 and λ2 are in visible range 380 nm to 740 nm, their values are:
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A ray of light wavelength λ0 and frequency v0 enters a glass slab of refractive index μ  from air. Then,
EASY
Two slits in Young's experiment have widths in the ratio 1 : 25. The ratio of intensity at the maxima and minima in the interference pattern, ImaxImin is:
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In a Young's double slit experiment with light of wavelength λ, the separation of slits is d and distance of screen is D such that Ddλ . If the Fringe width is β , the distance from point of maximum intensity to the point where intensity falls to half of the maximum intensity on either side is:

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The Young's double slit experiment is performed with blue light and green light of wavelengths 4360 Å and 5460 Å respectively. If X is the distance of 4th maxima from the central one, then

EASY
When light of wavelength 600 mm is used in Young's double slit experiment, 8 fringes are observed on the screen. If wavelength of light is changed to 400 mm, how many fringes will be observed on the screen?
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In a Young's double slit experiment,16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be :
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In a double slit experiment, when a thin film of thickness t having refractive index μ is introduced in front of one of the slits, the maxima at the centre of the fringe pattern shifts by one fringe width. The value of t is (λ is the wavelength of the light used):