Physics · Ray Optics And Optical Instruments · NEET
A concave mirror is a CONVERGING mirror. Parallel rays hitting it bounce back and meet at a single point in front of the mirror, called the principal focus F. Because rays actually cross, this focus is real and the focal length is taken as negative in the standard NEET sign convention (f is negative for concave, positive for convex). A convex mirror is the opposite: it is a DIVERGING mirror, the reflected rays spread out and only appear to come from a focus behind the mirror.
In a convex mirror the reflected rays always diverge (spread apart), no matter how close or far the object is. Diverging rays never actually meet in front of the mirror, so no real image can form on a screen. The rays only APPEAR to come from a point behind the mirror, so the eye sees a virtual, erect, and diminished image there. This is why the image in a convex mirror is small and always upright.
Yes. When the object is placed between the pole P and the focus F (that is, closer to the mirror than the focus), a concave mirror gives a VIRTUAL, erect, and magnified image behind the mirror. This is exactly how a shaving mirror or make-up mirror works. But when the object is beyond F, the concave mirror gives a real, inverted image. So concave is the flexible one: it can do both, and NEET loves testing this switch at the focus.
A convex mirror. It always makes a diminished, erect image, so a large area of the road fits into a small mirror, giving the driver a wide field of view behind the vehicle. The trade-off is that objects look smaller and therefore farther away than they really are, which is why side mirrors often carry the warning 'objects in mirror are closer than they appear'. A concave mirror would enlarge and could invert, which is useless for driving.
Use the Cartesian sign convention (light travels left to right, distances measured from the pole). For a concave mirror the focus lies in front of the mirror, on the same side as the incoming light, so f is NEGATIVE. For a convex mirror the focus lies behind the mirror, so f is POSITIVE. Quick rule: f negative means concave (converging), f positive means convex (diverging). The radius of curvature R has the same sign, and f = R/2.
No. A concave mirror magnifies only for some object positions. Object inside the focus gives an enlarged virtual image; object between F and C (centre of curvature) gives an enlarged real image; object AT C gives a same-size image (m = -1); and object BEYOND C gives a diminished real image. So a concave mirror can shrink, keep, or enlarge the image depending on distance. Only a convex mirror is guaranteed to always diminish.
Match the entries of Column 1 (m = magnification produced by the mirror) with Column 2. Column 1: (A) m = -2, (B) m = -1/2, (C) m = +2, (D) m = +1/2. Column 2: (a) Convex mirror, (b) Concave mirror, (c) Real image, (d) Virtual image.
An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be:
Try the real previous-year questions from this chapter — each with the answer and a full solution.
A concave mirror reflects from its inner curved (caved-in) surface and converges light, so it can form real or virtual images. A convex mirror reflects from its outer bulging surface and diverges light, so it only ever forms a virtual, erect, diminished image.
Only a concave mirror can form a real image (one that can be caught on a screen), and only when the object is placed at or beyond the focus F. A convex mirror can never form a real image because its reflected rays always diverge.
Positive. In the Cartesian sign convention the focus of a convex mirror lies behind the mirror, so f is positive. A concave mirror has its focus in front, so f is negative. In both cases f = R/2.
Because a convex mirror always shrinks the image, a large scene fits into a small mirror. This wide field of view is why convex mirrors are used as vehicle rear-view mirrors, at road bends, and in shop security mirrors.
Place the object between the pole and the focus (inside F). Then the concave mirror gives a virtual, erect, and magnified image, which is how a shaving or make-up mirror works.