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Q. A diminished image of an object is to be obtained on a screen
1.0 m from it. This can be achieved by placing

IIT JEEIIT JEE 1995

Solution:

Image can be formed on the screen if it is real. Real image of
reduced size can be formed by a concave mirror or a convex
lens.
A diminished real image is formed by a convex lens when the
object is placed beyond 2 f and the image of such object is
formed between f and 2 f on other side.
Thus, $ d > (2 \, f + 2 \, f)$
or $ 4 \, f < $0. 1 m
or $ f < $ 0.25 m

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