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Important Questions on Wave Optics

MEDIUM
In a double-slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double-slit within the central maxima of a single-slit pattern?
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 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:

HARD
In a Young's double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:
HARD
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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EASY
The interference pattern is obtained with two coherent light sources of intensity ratio, n. In the interference pattern, the ratio, ImaxIminImax+Imin will be
HARD

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
Young's double slit experiment is first performed in air and then in a medium other than air. It is found that 8th bright fringe in the medium lies where 5th dark fringe lies in air. The refractive index of the medium is nearly
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:
MEDIUM
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:
MEDIUM
In Young's double-slit experiment, in an interference pattern, the second minimum is observed exactly in front of one slit. The distance between the slits is d and the distance between source and screen is D. The wavelength of the light source used is
MEDIUM
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?
EASY
Two identical light waves having phase difference ϕ propagate in the same direction. When they superpose, the intensity of the resultant wave is proportional to_____.
MEDIUM
The distance between two coherent sources is 1 mm. The screen is placed at a distance of 1 m from the sources. If the distance of the third bright fringe is 1.2 mm from the central fringe, the wavelength of light used is
HARD
In the Young's double slit experiment using a monochromatic light of wavelength λ , the path difference ( in terms of an integer n ) corresponding to any point having half the peak intensity is
MEDIUM
In Young’s double-slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single-slit diffraction pattern is :
MEDIUM

Using monochromatic light of wavelength λ , an experimentalist sets up the Young's double slit experiment in three ways as shown.
If she observes that y = β , the wavelength of light used is :

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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:
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
A ray of light wavelength λ0 and frequency v0 enters a glass slab of refractive index μ  from air. Then,