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What if the monochromatic light is replaced with electron beam in YDSE experiment?

Important Questions on Wave Optics

HARD

Derive the expression for the intensity at a point where interference of light occurs. Arrive at the conditions for maximum and zero intensity.

EASY
In a Young's double slit experiment, light of 500nm is used to produce and interference pattern. When the distance between the slits is 0.05mm, the angular width (in degree) of the fringes formed on the distance screen is close to :
EASY
In Young’s double slit experimental setup, if the wavelength alone is doubled, the value of bandwidth β becomes,
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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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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In the Young's double slit experiment a monochromatic source of wavelength λ is used. The intensity of light passing through each slit is I0. The intensity of light reaching the screen Sc at a point P, a distance X from O is given by (Take d<D)

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HARD
Derive the expression for the fringe width in Young's double slit experiment.
EASY

If β is the bandwidth, in Young's double slit experiment, the distance between the first dark band and sixth bright band 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 :
HARD
A light source, which emits two wavelengths λ1=400 nm and λ2=600 nm , is used in a Young's double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 , respectively, then
HARD
If one of two identical slits producing interference in Young’s experiment is covered with glass, so that the light intensity passing through it is reduced to 50%, find the ratio of the maximum and minimum intensity of the fringe in the interference pattern.
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:
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What kind of fringes do you expect to observe if white light is used instead of monochromatic light?
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 diffraction pattern is obtained using a beam of red light.What happens if the red light is replaced by blue light ?

MEDIUM
"Only white and dark fringes are obtained when white light is used in Young's double slit experiment.” Is this statement true? Justify. 
EASY

Two slits are 1 mm apart and a screen is placed at some distance. When the slits are illuminated with light of wavelength 500 nm, fringe separation obtained on the screen is 0.5 mm. What is the distance between the screen and the slits?

 

 

MEDIUM
In a double – slit experiment, at a certain point on the screen the path difference between the two interfering waves is 18th of a wavelength. The ratio of the intensity of light at that point to that at the center of a bright fringe 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 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?