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For a concave mirror, a virtual image can be anywhere behind the mirror. For a convex mirror, however, there is a maximum distance at which the image can exist behind the mirror. Why?
Description-Let us consider the concave mirror first and imagine two different light rays leaving a tiny object and striking the mirror. If the object is at the focal point, the light rays reflecting from the mirror will be parallel to the mirror axis.
They can be interpreted as forming a virtual image infinitely far away behind the mirror.
As the object is brought closer to the mirror, the reflected rays will diverage through larger and larger angles, resulting in their extensions converging closer and closer to the back of the mirror.
When the object is much closer to the mirror than the focal length, the mirror acts like a flat mirror, and the image is just as far behind the mirror as the object is in front of it.
When the object is much closer to the mirror than the focal length, the mirror acts like a flat mirror, and the image is just as far behind the mirror as the object is in front of it.
Thus, the image can be anywhere from infinitely far away to right at the surface of the mirror.
For the convex mirror, an object at infinity produces a virtual image at the focal point. As the object is brought closer, the reflected rays diverge more sharply and the image moves closer to the mirror. Thus, the virtual image is restricted to the region between the mirror and the focal point.
For the convex mirror, an object at infinity produces a virtual image at the focal point. As the object is brought closer, the reflected rays diverge more sharply and the image moves closer to the mirror. Thus, the virtual image is restricted to the region between the mirror and the focal point.
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