The mirrors are perpendicular to each other as shown in fig....

The mirrors are perpendicular to each other as shown in fig. A light ray $A B$ is incident on the mirror $M_{1}$. Then the reflected ray will also suffer a reflection from the mirror $M_{2}$. Then the final ray after reflection from $M_{2}$ will be parallel to the incident ray, if : (a) $i=45^{\circ}$ (b) $i=60^{\circ}$ (c) $i<30^{\circ}$ (d) for any $i$ between $0^{\circ}$ and $90^{\circ}$

The mirrors are perpendicular to each other as shown in fig. A light ray $A B$ is incident on the mirror $M_{1}$. Then the reflected ray will also suffer
a reflection from the mirror $M_{2}$. Then the final ray after reflection from $M_{2}$ will be parallel to the incident ray, if :
(a) $i=45^{\circ}$
(b) $i=60^{\circ}$
(c) $i<30^{\circ}$
(d) for any $i$ between $0^{\circ}$ and $90^{\circ}$

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Key Concepts

Law of Reflection

The law of reflection states that the angle at which a light ray hits a reflective surface (measured from the normal to the surface) is equal to the angle at which it reflects off that surface. This fundamental principle of optics helps in determining the path of the light ray during each reflection incident in any optical system.

Multiple Reflection

When light encounters multiple reflective surfaces in succession, its direction changes with each reflection according to the law of reflection. Analyzing such systems involves considering each reflection step individually and then relating the cumulative effect to determine the ray’s final trajectory.

Geometrical Configuration of Perpendicular Mirrors

In configurations where mirrors are arranged perpendicularly, such as in a corner, the specific geometric arrangement creates unique relationships between the angles of incidence and reflection. This symmetry often leads to predictable outcomes, such as situations where the final reflected ray emerges parallel to the initial incident ray under certain conditions.

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