I Two plane mirrors A and B intersect at a 45^∘ angle. Three rays of light leave point P (see Fi

step 1 In this question, the concept uses the law of reflection and formal law of reflection, the incid

I Two plane mirrors A and B intersect at a 45^∘ angle. Three...

I Two plane mirrors $A$ and $B$ intersect at a $45^{\circ}$ angle. Three rays of light leave point $P$ (see Figure 23.48 ) and strike one of the mirrors. What is the subsequent path of each of the following rays until they no longer strike either of the mirrors? (a) Ray $1,$ which strikes $A$ at $45^{\circ}$ with respect to the normal (b) Ray $2,$ which strikes $B$ traveling perpendicular to mirror $A$ (c) Ray $3,$ which strikes $B$ perpendicular to its surface

I Two plane mirrors $A$ and $B$ intersect at a $45^{\circ}$ angle. Three rays of light leave point $P$ (see Figure 23.48 ) and strike one of the mirrors. What is the subsequent path of each of the following rays until they no longer strike either of the mirrors?
(a) Ray $1,$ which strikes $A$ at $45^{\circ}$ with respect to the normal
(b) Ray $2,$ which strikes $B$ traveling perpendicular to mirror $A$
(c) Ray $3,$ which strikes $B$ perpendicular to its surface

Key Concepts

Multiple Reflections

Multiple reflections occur when light rays encounter more than one mirror in sequence. In configurations where mirrors are arranged at an angle, a reflected ray can strike a second mirror and undergo additional reflections. Understanding the geometry of such systems is crucial for accurately determining the subsequent paths of the rays as they undergo repeated reflections.

Plane Mirrors

Plane mirrors reflect light in such a way that the image produced is virtual, upright, and of the same size as the object. This means that when a light ray strikes a plane mirror, it follows a predictable behavior based on the mirror’s flat geometry, making it possible to precisely trace the path of the reflected ray.

Law of Reflection

The law of reflection states that the angle at which the light ray hits the mirror (the angle of incidence), measured from the normal, is equal to the angle at which it reflects off (the angle of reflection). This simple rule is the cornerstone for predicting the paths of light rays upon encountering reflective surfaces.

Normal Line

The normal line is an imaginary line drawn perpendicular to the surface at the point where a light ray strikes the mirror. It serves as a reference for measuring the angles of incidence and reflection, ensuring that the rule of equal angles is applied correctly during the reflection process.

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