Where should an object be placed in front of a convex lens so as to obtain its virtual, erect and magnified image ?
The image formed by a convex lens depends upon the distance of an object from the optical center of the lens.
When an object is placed between the first focus F₁ and the optical center of the lens, the image which is formed is virtual, erect and magnified. Also, it is formed on the same side of the lens as the object.
For this, place an object between the optical center and F₁. Consider two rays starting from the top of an object and passes through F₂ after refraction. The rays then passes through the optical center and go through the lens un-deviated. These rays appear to meet only when produced backwards. Thus, image which is formed will be virtual, erect and magnified.