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A Young's double slit experiment is conducted in water μ1 as shown in the figure, and a glass plate of thickness t and refractive index μ2 is placed in the path of S2. The magnitude of the phase difference at O is (Assume that λ is the wavelength of light in air,O is symmetrical w.r.t.(S1 and S2.)

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Important Questions on Wave Optics

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In YDSE, the wavelength used is 600 nm. A transparent slice of thickness 36 μm is placed in the path of one wave. The central fringe shifts to 30th bright fringe from the centre, then find the refractive index of the slice.
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In the figure shown in a Young's double slit experiment, a parallel beam of light is incident on the slits from a medium of refractive index n1. The wavelength of light in this medium is λ1. A transparent slab of thickness t and refractive index n3 is put in front of one slit. The medium between the screen and the plane of the slits is n2. The phase difference between the light waves reaching point O (symmetrical relative to the slits) is,

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Interference fringes are produced using white light in a double slit arrangement. When a mica sheet of uniform thickness of refractive index 1.6 (relative to air) is placed in the path of light from one of the slits, the central fringe moves through some distance. This distance is equal to the width of 30 interference bands if light of wavelength 4800  is used. The thickness (in μm) of mica is,
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If the first minima in a Young's slit experiment occurs directly in front of one of the slits, (distance between the slit and the screen, D=12 cm and distance between the slits, d = 5 cm) then the wavelength(s) of the radiation used is,
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Two coherent light sources, P and Q, each of wavelength λ, are separated by a distance 3λ as shown. The maximum number of minima formed on line AB which runs from - to + is,

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In a Young's double slit experiment, the fringe width is β. If the entire arrangement is now placed inside a liquid of refractive index μ, the fringe width will become,
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A Young's double slit experiment is performed with bi-chromatic light (5500  and 6000 ) for d=2 mm and D=1 m. The distance of the first complete maxima from the central maxima on the screen is,
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A light of wavelength 6000  shines on two narrow slits separated by a distance 1.0 mm and illuminates a screen at a distance 1.5 m away. When one slit is covered by a thin glass plate of refractive index 1.8 and other slit by a thin glass plate of refractive index μ, the central maxima shifts by 0.1 rad. Both plates have the same thickness of 0.5 mm. The value of refractive index μ of the glass is,