image
Summary
An image is the point where light rays from an object meet (real) or appear to come from (virtual) after reflection or refraction. Real images form where rays actually converge and can be projected on a screen; virtual images cannot. A negative image distance i means virtual.
Detail
Meaning: A mirror or lens redirects rays from each point on an object. If the rays actually converge at a point, the image is real: it can be projected on a screen and, for a single mirror or lens, is inverted. If the rays only appear to diverge from a point when traced backward, the image is virtual: it is upright for a single mirror or lens and cannot be projected.
Equation: 1/f = 1/o + 1/i and m = −i/o = hi/ho, where f is focal length (m), o is object distance (m), i is image distance (m), m is magnification (unitless), and hi and ho are image and object heights (m). Positive i means real; negative i means virtual. f is positive for converging mirrors and lenses and negative for diverging ones.
On the MCAT: You are given f and o, solve for i and m, then describe the image as real or virtual, upright or inverted, enlarged or reduced. A converging lens with the object beyond f gives a real, inverted image; with the object inside f it gives a virtual, upright, enlarged image (a magnifying glass). A plane mirror gives a virtual, upright image with i = −o and m = +1.
Common confusion: Virtual does not mean unseen; the eye sees virtual images fine. Real versus virtual depends only on whether rays truly converge, not on size. The sign of i (real or virtual) and the sign of m (inverted if negative) are separate checks.
Sources
- Physics (Giancoli)
- Fundamentals of Physics (Halliday, Resnick, Walker)
Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.