Two flat mirrors are perpendicular to each other. An incoming beam of light

step 1 Here in this given problem, these are the two perpendicular plane mirrors, two plane mirrors whi

Two flat mirrors are perpendicular to each...

$$ \begin{aligned} &\text { Two flat mirrors are } \\ &\text { perpendicular to each other. } \\ &\text { An incoming beam of light } \\ &\text { makes an angle of } 30^{\circ} \text { with } \\ &\text { the first mirror as shown in } \\ &\text { Figure } 24-59 \text {. What angle } \\ &\text { will the outgoing beam make } \\ &\text { with respect to the normal of } \\ &\text { the second mirror? SSM } \end{aligned} $$

$$
\begin{aligned}
&\text { Two flat mirrors are } \\
&\text { perpendicular to each other. } \\
&\text { An incoming beam of light } \\
&\text { makes an angle of } 30^{\circ} \text { with } \\
&\text { the first mirror as shown in } \\
&\text { Figure } 24-59 \text {. What angle } \\
&\text { will the outgoing beam make } \\
&\text { with respect to the normal of } \\
&\text { the second mirror? SSM }
\end{aligned}
$$

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Key Concepts

Law of Reflection

This principle states that when light reflects off a smooth surface, the angle at which the light hits the surface (the angle of incidence) is equal to the angle at which it leaves the surface (the angle of reflection). It is fundamental to analyzing how light behaves when encountering reflective surfaces, regardless of the number of reflections.

Angle of Incidence and Normal

The concept of the angle of incidence is defined with respect to the normal, which is an imaginary line perpendicular to the surface at the point of incidence. Understanding how to measure these angles is crucial for predicting the reflected path of a light beam, especially when it interacts with multiple reflective surfaces.

Multiple Reflections between Perpendicular Mirrors

When light interacts with more than one mirror, as in the case of two perpendicular mirrors, each reflection must be analyzed separately according to the law of reflection. The orientation of the mirrors with respect to each other influences the overall change in direction of the light beam, allowing us to determine the final angle relative to a given normal after the series of reflections.

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