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Chapter 32: Problem 50

What kinds of images, virtual or real, are formed by a converging mirror when the object is placed a distance away from the mirror that is a) beyond the center of curvature of the mirror, b) between the center of curvature and half the center of curvature, and c) closer than half of the center of curvature.

Short Answer

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Short Answer: When the object is placed (a) beyond the center of curvature, the converging mirror forms a real, inverted, and smaller image; (b) between the center of curvature and half the center of curvature, the mirror forms a real, inverted, and enlarged image; and (c) closer than half of the center of curvature, it forms a virtual, upright, and enlarged image.

Step by step solution

01

Case a: Object beyond the center of curvature of the mirror

When the object is placed at a distance beyond the center of curvature (C) of the mirror, the converging mirror forms a real, inverted, and smaller image between the center of curvature and the focal point (F) of the mirror. The image is formed by converging the reflected light rays.
02

Case b: Object between the center of curvature and half the center of curvature

In this case, when the object is placed between the center of curvature (C) and half the center of curvature (i.e., the focal point (F)), the converging mirror forms a real, inverted, and enlarged image beyond the center of curvature. The image is formed by converging the reflected light rays.
03

Case c: Object closer than half of the center of curvature

When the object is placed closer than half the center of curvature (i.e., closer than the focal point (F)), the converging mirror forms a virtual, upright, and enlarged image behind the mirror. The image is formed by extending the reflected light rays backward, and the image appears to be on the same side as the object.

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