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Question

An object is placed at the following distances from a convex lens of focal length 15 cm : (a) 35 cm (b) 30 cm (c) 20 cm (d) 10 cm Which position of the object will produce : (i) a magnified real image ? (ii) a magnified virtual image ? (iii) a diminished real image ? (iv) an image of same size as the object ?

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Solution

Given focal length of mirror = 15 cm ------------(f)
Therefore, distance of centre of curvature = 30 cm -- (2f)


(i) 20 cm It will be a magnified real image. (Because a magnified real image is formed when the object is placed between f and 2f).
(ii) 10cm It will be a magnified virtual image . (Because a magnified virtual image is formed when the object is placed between f and the lens).
(iii) 35cm It will be a diminshed real image (Because a diminished real image is formed when the object is placed beyonf 2f).
(iv) 30cm It will be the same size as that of the object. (Because an image of same size as the object is formed when the object is placed at 2f).


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