Young's double-slit experiment is setup, with identical slits \(S_1,S_2\) separated by a distance \(d=0.2~\text{mm},\) and the screen placed parallel to \(S_1S_2\) at a distance, \(D=50~\text{cm}.\) The source \((S)\) of light is placed equidistant from \(S_1\) & \(S_2\) and it emits light of wavelength, \(\lambda=500~\text{nm}.\) Interference fringes are formed on the screen and the intensity at the central maximum is \(0.4~\text{W/m}^2.\) The apparatus is in air, and the source \(S\) is also placed \(50~\text{cm}\) from the double-slit.
                                   
The fringe width of the interference fringes equals
1. \(2.5~\text{mm}\)
2. \(1.25~\text{mm}\)
3. \(0.625~\text{mm}\)
4. \(1~\text{mm}\)
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In a YDSE experiment, fringe width is 2 mm when wavelength of light used is λ = 400 nm. Find the fringe width (in mm) when wavelength is 600 nm.
1. 1. 5 mm
2. 3 mm
3. 2.5 mm
4. 6 mm
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In young’s double slit experiment, the fringe width is 12mm. If the entire arrangement is placed in water of refractive index \(4 \over 3 \), then the fringe width becomes (in mm)
1. 16
2. 9
3. 48
4. 12
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The intensities of light coming from two different slits are in the ratio \(1:4\) in Young's double-slit experiment. The ratio of intensities corresponding to the maxima and minima in the interference pattern would be:
1. \(\sqrt2:1\)
2. \(2:1\)
3. \(4:1\)
4. \(9:1\)
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In Young's double-slit experiment two slits are separated by \(2~\text{mm}\) and the screen is placed one meter away. When light of wavelength \(500~\text{nm}\) is used, the fringe separation will be:

1. \(0.25~\text{mm}\) 2. \(0.50~\text{mm}\)
3. \(0.75~\text{mm}\) 4. \(1~\text{mm}\)
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A Young's double-slit setup is first performed in air and then in a liquid of refractive index \(\mu.\) At a particular location on the screen, the \(10{\text{th}}\) bright fringe in air and the \(12\text{th}\) bright fringe in liquid coincide. Then \(\mu=\)
1. \(1.8\)
2. \(1.54\)
3. \(1.67\)
4. \(1.2\)
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In Young's double-slit experiment, \(16\) fringes are observed in a certain segment of the screen when light of wavelength \(700~\text{nm}\) is used. If the wavelength of the light is changed to \(400~\text{nm}\), the number of fringes observed in the same segment of the screen would be:

1. \(28\) 2. \(24\)
3. \(18\) 4. \(30\)
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In a YDSE setup, a mica sheet of thickness \(t\) and refractive index \(\mu\) is inserted in front of one of the slits. The number of fringes by which the central fringe gets shifted is:
(Given: \(\lambda,\) \(D\) and \(d\) are wavelength of light, the distance between slits and screen and slit separation respectively.)
1. \({\dfrac{\mu t} {\lambda}}\) 2. \({\dfrac{\left({\mu-1}\right)t} {\lambda}}\)
3. \({\dfrac{\left({\mu+1}\right)t} {\lambda}}\) 4. \({\dfrac{\left({2\mu-1}\right)t} {\lambda}}\)
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In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the:
1. fringe width decreases.
2. fringe width increases.
3. central bright fringe becomes dark.
4. fringe width remains unaltered.
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In Young's double-slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes:
1. half
2. four times
3. one-fourth
4. double
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