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Question

# (a) For which position of an object, a real, diminished image is formed by a convex lens? (b) Two convex lenses A and B have focal lengths of 2.5 cm and 12.0 cm, respectively. Which lens has a greater power? ​(c) Describe with the help of a labelled ray-diagram, the formation of image when an object is placed in the front of a convex lens between focus and optical centre. State any two characteristics of the image formed.

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Solution

## (a) When an object is placed beyond '2f' of a convex lens, the image formed is diminished and real in nature. (b) Power of a lens is indirectly proportional to its focal length. i.e. $P\propto \frac{1}{f\left(\mathrm{in}\mathrm{meter}\right)}$ According to the above relation, the lens with a smaller focal length would have greater power. So, lens A has greater power. (c) Characteristics of the image formed above: (i) Image is virtual (ii) Image is erect (iii) Image is enlarged

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