Questions in Ray Optics and Optical Instruments

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Two thin lenses of focal lengths 20 cm and 25 cm are placed in contact convex. The effective power of the combination is
An object is placed at a distance of $f/2$ from a convex lens. The image will be
A double convex thin lens made of glass (refractive index $\mu = 1.5$) has both radii of curvature of magnitude $20 cm$. Incident light rays parallel to the axis of the lens will converge at a distance $L$ such that
A lens behaves as a converging lens in air and a diverging lens in water. The refractive index of the material is
A biconvex lens forms a real image of an object placed perpendicular to its principal axis. Suppose the radii of curvature of the lens tend to infinity. Then the image would
The radius of curvature of convex surface of a thin plano-convex lens is $15 cm$ and refractive index of its material is $1.6$. The power of the lens will be
Focal length of a convex lens will be maximum for
A lens is placed between a source of light and a wall. It forms images of area ${{A}_{1}}$ and ${{A}_{2}}$ on the wall for its two different positions. The area of the source or light is
Two lenses of power $6D$ and $– 2D$ are combined to form a single lens. The focal length of this lens will be
A combination of two thin lenses with focal lengths ${{f}_{1}}$ and ${{f}_{2}}$ respectively forms an image of distant object at distance $60 cm$ when lenses are in contact. The position of this image shifts by $30 cm$ towards the combination when two lenses are separated by $10 cm$. The corresponding values of ${{f}_{1}}$ and ${{f}_{2}}$ are

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