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$\bullet$ Two plane mirrors $A$ and $B$ intersect at a $45^{\circ}$ angle. Three rays of light leave point $P$ (see Figure 23.51 ) 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 rors? (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.

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Physics 102 Electricity and Magnetism

Physics 103

Chapter 23

Electromagnetic Waves and Propagationof Light

Electromagnetic Waves

Reflection and Refraction of Light

University of Michigan - Ann Arbor

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

03:24

I Two plane mirrors $A$ an…

05:43

$\bullet$ Three plane mirr…

02:58

04:34

Three plane mirrors inters…

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Two plane mirrors are conn…

02:06

The two mirrors illustrate…

03:17

Two plane mirrors $A$ and …

01:35

A ray of light strikes a p…

06:00

03:15

Two flat mirrors make an a…

01:58

The mirrors are perpendicu…

02:32

Two plane mirrors meet at …

03:31

04:01

Two adjacent plane mirrors…

02:25

Two plane mirrors are arra…

in this problem, we're going to use the law reflection, which is at the incident angle he goes to reflected angle in order to trace out three situations for a has a situation where the ray begins at Point P and it is going parallel to be and reflects off a 45 degree angle. And then it's traveling perpendicular to be once it gets to be, it's going to do it 1 80 and it's going to be going back this way, and it's going to trace its path all the way back. It'll keep going this way. Terrible to be, but moving in the opposite direction forever. And so that's the complete path there. In order to get these angles, you can use some simple geometry with, uh, this single here. This is really the only angle that tell us. And so from from the fact that this is writing all in that this is 45 we can get really the rest of these angles. So let me guess the situation for Part B. We can have play A and B situated sort of like this, and they're still 45 degree angle between them. But now point p is here, and we shoot the right downward perpendicular day. But it's moving towards the and so when we get here, this angle again by using some John tree is 45 degrees. And so that means the angle of reflection is also gonna be 45 degrees. And so it will be moving this way forever parallel to play, eh? And by the way, this is writing. Now it's you, Percy, in Farsi. We still the same plates here, Mrs played a and it's a plebe. It has a 45 degree in between them. And so now our point p is is right here and we shoot it. I should move it. Actually, that's going to create problems later. So I would be here, and I'm going to shoot it perpendicular to be. Now when you get here, it's going to do a 1 80 so it's going to go back this way once it gets here. We know again from geometry that this is 45 degree angle and we know that the angle of incidence equals the angle of reflection. And so this is going to shoot off 45 degree angle. And so now this is moving parallel to play B. And so those are the three situations in the problem

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