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The graph shows how the magnification m produced by a thin lens varies with image distance v. The focal length of the lens used is

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Important Questions on Ray Optics

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A thin convex lens made from crown glass μ = 3 2  has focal length f . When it is measured in two different liquids having refractive indices 4 3  and 5 3 , it has the focal lengths f 1  and f 2  respectively. The correct relation between the focal lengths is :
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In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20 cm from the lens. The focal length of the convex mirror is-
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A thin lens made of glass (refractive index =1.5 ) of focal length f=16cm is immersed in a liquid of refractive index 1.42 . If its focal length in liquid is fl , then the ratio fl/f is closest to the integer:
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A plano - convex lens (focal length f2 , refractive index μ2, radius of curvature R) fits exactly into a plano - concave lens (focal length f1, refractive index μ1, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be:
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Formation of real image using a biconvex lens is shown below:

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If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen?
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A double convex lens has power P and same radii of curvature r of both the surfaces. The radius of curvature of a surface of a plano-convex lens made of the same material with power 1.5 P is :
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The position of the final image formed by the given lens combination from the third lens will be at a distance of f1=+10 cm, f2=-10 cm andf3=+30 cm

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A plano-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices μ1 and μ2,R is the radius of curvature of the curved surface of the lenses, then the focal length of combination is