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Two slits S(1) and S(2) illuminated by a...

Two slits `S_(1)` and `S_(2)` illuminated by a white light source give a white central maxima. A transparent sheet of refractive index 1.25 and thickness `t_(1)` is placed in front of `S_(1)`. Another transparent sheet of refractive index 1.50 and thickness `t_(2)` is placed in front of `S_(2)`. If central maxima is not effected, then ratio of the thickness of the two sheets will be :

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In YDSE arrangement as shown in figure, fringes are seen on screen using monochromatic source S having wavelength 3000 Å (in air). S_1 and S_2 are two slits seperated by d = 1 mm and D = 1m. Left of slits S_1 and S_2 medium of refractive index n_1 = 2 is present and to the right of S_1 and S_2 medium of n_2 = 3/2 , is present. A thin slab of thickness 't' is placed in front of S_1 . The refractive index of n_3 of the slab varies with distance from it's starting face as shown in figure. In order to get central maxima at the centre of screen, the thickness of slab required is :

In YDSE arrangement as shown in figure, fringes are seen on screen using monochromatic source S having wavelength 3000 Å (in air). S_1 and S_2 are two slits seperated by d = 1 mm and D = 1m. Left of slits S_1 and S_2 medium of refractive index n_1 = 2 is present and to the right of S_1 and S_2 medium of n_2 = 3/2 , is present. A thin slab of thickness 't' is placed in front of S_1 . The refractive index of n_3 of the slab varies with distance from it's starting face as shown in figure. In order to get central maxima at the centre of screen, the thickness of slab required is :

In figure S is a monochromatic source of light emitting light of wavelength of wavelength lambda (in air). Light on slits S_(1) from S and then reaches in the slit S_(2) and S_(3) through a medium of refractive index mu_(1) . Light from slit S_(2) and S_(3) reaches the screen through a medium of refractive index mu_(3) . A thin transparent film of refractive index mu_(2) and thickness t is used placed in front of S_(2) . Point P is symmetrical w.r.t. S_(2) and S_(3) . Using the values d = 1 mm, D = 1 m, mu_(1) = 4//3 , mu_(2) = 3//2, mu_(3) = 9//5 , and t = (4)/(9) xx 10^(-5) m , a. find distance of central maxima from P, b. If the film in front of S_(2) is removed, then by what distance and in which direction will be central maxima shift ? .

In figure S is a monochromatic source of light emitting light of wavelength of wavelength lambda (in air). Light on slits S_(1) from S and then reaches in the slit S_(2) and S_(3) through a medium of refractive index mu_(1) . Light from slit S_(2) and S_(3) reaches the screen through a medium of refractive index mu_(3) . A thin transparent film of refractive index mu_(2) and thickness t is used placed in front of S_(2) . Point P is symmetrical w.r.t. S_(2) and S_(3) . Using the values d = 1 mm, D = 1 m, mu_(1) = 4//3 , mu_(2) = 3//2, mu_(3) = 9//5 , and t = (4)/(9) xx 10^(-5) m , a. find distance of central maxima from P, b. If the film in front of S_(2) is removed, then by what distance and in which direction will be central maxima shift ? .