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An object is placed at a distance u from a converging lens and its real image is received on a screen placed at a distance of v from the lens. If f is the focal length of the lens, then the graph between 1v versus 1u is:

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Important Questions on Ray Optics

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JEE Main/Advance
IMPORTANT
A virtual erect image by a diverging lens is represented by (u, v, f are coordinates)
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What should be the value of distance d so that the final image is formed on the object itself. (focal lengths of the lenses are as given in the figure).

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A thin linear object of size 1 mm is kept along the principal axis of a convex lens of focal length 10 cm.The object is at 15 cm from the lens. The length of the image is:
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JEE Main/Advance
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A biconvex lens is used to project a slide on the screen. The slide is 2 cm high and placed at 10 cm from the lens. The image is 18 cm high. What is the focal length of the lens?
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JEE Main/Advance
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The minimum distance between a real object and its real image formed by a thin converging lens of focal length f is 
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IMPORTANT
A small fish, 4cm below the surface of a lake, is viewed through a thin converging lens of focal length 30cm held 2cm above the water surface. Refractive index of water is 1.33 . The image of the fish from the lens is at a distance of
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Two plano-convex lenses each of focal length 10 cm and refractive index 32 are placed as shown in the figure. In the space left, water R.I.=43 is filled. The whole arrangement is in air. The optical power of the system is (in dioptre):

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A plano-convex lens, when silvered at its plane surface is equivalent to a concave mirror of focal length 28 cm. When its curved surface is silvered and the plane surface not silvered, it is equivalent to a concave mirror of focal length 10 cm, then the refractive index of the material of the lens is: