Two plane mirrors meet at right angles at the origin of a...

Two plane mirrors meet at right angles at the origin of a coordinate system, as indicated in Figure $16.33 .$ (a) Draw the locations and orientations of all three images of L-shaped object A formed by the two mirrors. (b) Draw the locations and orientations of all three images of L-shaped object B formed by the two mirrors. (Hint: One of the three images in each case is due to reflections from both mirrors.) Figure $16.33$

Key Concepts

Multiple Reflections in Mirror Systems

When two mirrors are arranged at an angle, such as perpendicular to each other, an object placed in front of them can produce several images. These images include those produced by single reflections from each mirror as well as a composite image resulting from the light reflecting off both mirrors, which is often rotated relative to the object.

Geometrical Construction and Coordinate Analysis

Using a coordinate system facilitates the accurate determination of image positions and orientations in mirror setups. By applying geometrical transformations corresponding to the mirror reflections, one can draw and predict the locations of images formed by both single and double reflections in a system of intersecting mirrors.

Law of Reflection

Light reflects off surfaces so that the angle of incidence equals the angle of reflection. This fundamental principle underlies the formation of images by plane mirrors and explains why reflected images have specific orientations and positions relative to the mirror surfaces.

Virtual Image Formation

A virtual image is formed when light rays diverge after being reflected by a mirror, making it appear as though the image originates from a location behind the mirror. In plane mirrors, these images remain upright and of the same size as the original object, but are laterally inverted.

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