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O is a small object placed at a distance...

O is a small object placed at a distance D from the eye E of an observer. A concave lens of focal length `f (/_D)` is placed near to the eye and image of the object is viewed. Now the lens is moved towards the object O, away from the eye.
(a) Show that the angle subtended by the image at the eye first decreases and then increases as the lens is moved away from the eye.
(b) Find the distance of the lens from the object when the apparent size of image is smallest.

Text Solution

Verified by Experts

The correct Answer is:
(b) `(D)/(2)`
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