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REFRACTION#!#LENSES

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Problems based on Lenses and Spherical refraction

A cylindrical tube filled with water (mu_(w)=(4)/(3)) is closed at its both ends by two thin, silvered plano - convex lenses, as shown in the figure. Refractive index of lenses L_(1) and L_(2) and 2.0 and 1.5, while their radii of curvatures are 5 cm and 9 cm, respectively. A point O on the axis of the cylindrical tube. If it is found that all the images formed by multiple refractions and reflections coincide with the object, then the distance with the object, then the distance between both the lenses is

Two thin sysmmetrical lenses of different nature and of different material have equal raii of curvature R=15cm . The lenses are put close together and immersed in water (mu_(w)=4//3) . The focal length of the system ini water is 30cm. The difference between refractive indices of tthe two lenses is

Two thin symmetrical lenses of different nature and of different material have equal radii of curvature R = 15 cm . The lenses are put close together and immersed in water (mu_(w) = (4)/(3)) . The focal length of the system in water is 30 cm. The difference between refractive indices of the two lenses is

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