How to Calculate the Initial Angle of Incidence in a Mirrored Maze?

In summary, the Law of Reflection is a fundamental principle in optics that states that the angle of incidence is equal to the angle of reflection when light strikes a surface. This applies to all smooth and shiny surfaces, including mirrors, glass, water, and metal. The Law of Reflection is used in various practical applications, such as in mirrors, telescopes, and cameras, as well as in understanding light and creating realistic images in computer graphics. However, there are exceptions to this law, such as when light strikes a rough surface or at the atomic level.
  • #1
mrlucky0
69
1

Homework Statement



In an amusement park maze with all the walls covered with mirrors, Pilar sees Hernando's reflection from a series of three mirrors. If the reflected angle from mirror 3 is 52° for the mirror arrangement shown in the figure, in which = 12°, what is the angle of incidence on mirror 1?

p23-42alt.gif


Homework Equations


law of reflection:
angle incident = angle reflected (with respect to normal)

The Attempt at a Solution



Working backwards, I arrived at 40 degrees.
 
Last edited:
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  • #2
Angle [itex]\beta[/itex] = 12°?
 
  • #3
Yes, alpha = 52, beta = 12.

Just hope if anyone can confirm my answer. I worked it through and did not have to use trig.
 

Related to How to Calculate the Initial Angle of Incidence in a Mirrored Maze?

1. What is the Law of Reflection?

The Law of Reflection is a fundamental principle in optics that states that the angle of incidence (the angle at which a ray of light strikes a surface) is equal to the angle of reflection (the angle at which the light is reflected).

2. How does the Law of Reflection apply to mirrors?

When light strikes a mirror, it bounces off the mirror's surface at the same angle that it hit the surface. This is due to the Law of Reflection, which states that the angle of incidence is equal to the angle of reflection.

3. Can the Law of Reflection be applied to other surfaces besides mirrors?

Yes, the Law of Reflection applies to all smooth and shiny surfaces, including glass, water, and metal. However, the angle of reflection may vary slightly depending on the surface's curvature.

4. How is the Law of Reflection used in practical applications?

The Law of Reflection is used in various applications, such as in mirrors, telescopes, and cameras. It is also important in understanding how light travels and is reflected in order to create realistic images in computer graphics and animation.

5. Are there any exceptions to the Law of Reflection?

Yes, there are a few exceptions to the Law of Reflection. For example, when light strikes a rough or irregular surface, the angle of reflection may vary due to the scattered reflection of light. Additionally, at the atomic level, the Law of Reflection does not apply as it is based on the macroscopic behavior of light.

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