how can we say that lesser the focal length, greater the magnification (convex lens)????
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Answers
What is the object distance if a convex lens of known focal length forms a magnified real image of the object?
We know that the lens forms a real image of the object. Thus, the object is greater than 1 times the focal length from the lens (since at exactly the focal length, the lens projects a virtual image at infinity.
On the other hand, when the object distance becomes 2 times the focal length, the image distance is also 2 times the focal length, and the magnification is 1 (or -1, since the image is inverted). Object distances greater than this produce an image less than life size. So, to have a magnified real image, the object distance must be less than 2 times the focal length.
Thus, the object distance must be greater than 1 but less than 2 times the focal length. Since the question doesn’t include the actual focal length, we can’t calculate the actual object distance either.