A concave lens has focal length of 20 cm. At what distance from the lens can a 5 cm tall object be placed so that it forms an image at 15cm from the lens? Also calculate the size of the image formed.
We have,
Image distance (y) = - 15 cm
Focal length (f) = - 20 cm
Now,

Therefore, to from an image at 15 cm from the concave lens,the object has placed at a distance 60 cm in front of the lens.
The magnification(m) of the image of an object is related to object distance (u) and image distance (v) as

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Therefore, the size of the image formed is 1.25 cm.