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Question

Two plane mirrors are connected at their sides so that they form a $45^{\circ}$ angle between them. A light ray strikes one mirror at an angle of $30^{\circ}$ to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.

   Two plane mirrors are connected at their sides so that they form a $45^{\circ}$ angle between them. A light ray strikes one mirror at an angle of $30^{\circ}$ to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 17, Problem 59

Instant Answer

Solved by Expert Mayukh Banik

05/25/2020

Step 1

The incident ray strikes the mirror at an angle of $30^{\circ}$ to the normal. According to the law of reflection, the angle of incidence is equal to the angle of reflection. Therefore, the reflected ray also makes an angle of $30^{\circ}$ with the mirror. This Show more…

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Two plane mirrors are connected at their sides so that they form a $45^{\circ}$ angle between them. A light ray strikes one mirror at an angle of $30^{\circ}$ to the normal and then reflects off the second mirror. Calculate the angle of reflection of the light ray off the second mirror.

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Key Concepts

Plane Mirrors

A plane mirror is a flat reflective surface that produces images by reflecting light according to the law of reflection. In optics, analyzing light paths with plane mirrors involves applying the equal angles rule for successive reflections.

Law of Reflection

This principle states that the angle at which a light ray strikes a surface (angle of incidence) is equal to the angle at which it reflects off that surface (angle of reflection). This law is fundamental to understanding how light behaves when interacting with reflective surfaces.

Multiple Reflections

When light undergoes more than one reflection, such as in systems with two or more mirrors set at an angle, the path of the light ray is determined by applying the law of reflection at each interface. The geometry of the mirror arrangement, including the angles between the mirrors, plays a crucial role in determining the final direction of the reflected light.

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