Questions in Ray Optics and Optical Instruments

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A film projector magnifies a $100 cm^2$ film strip on a screen. If the linear magnification is $4$, the area of magnified film on the screen is
An object placed $10 cm$ in front of a lens has an image $20 cm$ behind the lens. What is the power of the lens (in dioptres)
A beam of parallel rays is brought to a focus by a plano-convex lens. A thin concave lens of the same focal length is joined to the first lens. The effect of this is
A thin plano-convex lens acts like a concave mirror of focal length 0.2 m when silvered from its plane surface. The refractive index of the material of the lens is 1.5. The radius of curvature of the convex surface of the lens will be
A point object is placed at the center of a glass sphere of radius 6 cm and refractive index 1.5. The distance of the virtual image from the surface of the sphere is
In order to obtain a real image of magnification 2 using a converging lens of focal length 20 cm, where should an object be placed
A plano-convex lens of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of the size of the object
A double convex lens $({{R}_{1}}={{R}_{2}}=10\,cm)$ $(\mu =1.5)$ having focal length equal to the focal length of a concave mirror. The radius of curvature of the concave mirror is
At what distance from a convex lens of focal length 30 cm, an object should be placed so that the size of the image be 1/2 of the object
A plano-convex lens is made of refractive index of 1.6. The radius of curvature of the curved surface is 60 cm. The focal length of the lens is

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