Two plane mirrors are placed at some angle. There are five...

Two plane mirrors are placed at some angle. There are five images formed, when an object is placed symmetrically between them, the angle between the mirrors is :
(a) $60^{\circ}$
(b) $65^{\circ}$
(c) $30^{\circ}$
(d) $45^{\circ}$

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Key Concepts

Symmetry in Optical Reflection

Symmetry plays a key role in the formation of images in mirror systems. When an object is placed symmetrically between two mirrors, the resulting images are arrayed in a predictable and regular pattern, making it easier to apply the formula for calculating the number of images and understand their arrangement.

Plane Mirrors

Plane mirrors are flat reflective surfaces that form images by reflecting light according to the law of reflection, where the angle of incidence equals the angle of reflection. These mirrors produce images that are virtual, upright, and of the same size as the object.

Multiple Image Formation

When two plane mirrors are arranged such that they meet at an angle, multiple reflections occur between them. This process can result in the formation of several images of a single object. The number of images formed depends on the angle between the mirrors and the position of the object relative to the mirrors.

Angle Between Mirrors and Image Count

The number of images formed in a two-mirror system is related to the angle between the mirrors by the formula n = (360/?) - 1, when 360 is exactly divisible by the angle ? and the object is placed symmetrically. This relationship is crucial for determining the mirror configuration required to form a specific number of images.

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