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$\bullet$ Three plane mirrors intersect at right angles. A beam of laser light strikes the first of them at an angle $\theta$ with respect to the normal. (See Figure $23.50 . )$ (a) Show that when this ray is reflected off of the other two mirrors and crosses the original ray, the angle $\alpha$ between these two rays will be $\alpha=180^{\circ}-2 \theta$ . (b) For what angle $\theta$ will the two rays be perpendicular when they cross?

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$=180^{\circ}-2 \theta$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 23

Electromagnetic Waves and Propagationof Light

Electromagnetic Waves

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

University of Washington

University of Sheffield

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.

04:34

Three plane mirrors inters…

05:43

$\bullet$ Three plane mirr…

03:24

I Two plane mirrors $A$ an…

02:44

$\bullet$ Two plane mirror…

02:21

A light ray is incident on…

02:25

Two plane mirrors are arra…

03:46

Two plane mirrors are incl…

04:25

Two plane mirrors are conn…

03:12

Two flat mirrors are perpe…

05:03

Two plane mirrors meet at …

01:57

rays of light strikes a ho…

04:02

The reflecting surfaces of…

01:53

A beam of light is inciden…

02:19

02:46

03:13

Two upright plane mirrors …

In the first part of this problem, we have to prove that the alpha equals two. I wanted to DVD minus two theater. So this is the right diagram with this raising coming at this point and it strikes at point B here. It makes an Anglo for Peter with the normal, and it goes back to see and it makes angle of feta wanted with normal at this point. And if he did well at this point on, then it come sold from Thistle Creek. And it makes an Anglo for Alpha within coming away. So from a triangle, B c e. Let's see, destroying LBC he weaken right? This data plus theta one equals two pita plus a Peter one equals 2 90 DVD like school. That equation about one similarly, from Triangle City we can wide, um, plus Tito one he don't close it to equals toe 90 deity. We call this quay number two. No, I'm comparing equating number one. And according about to weaken white uh, these ID equals two Peter too. Well, no. Using the prying Gullah uh, a d e trying go a d e We can light all four by two plus uh, Peter Do Is it close to 90 DVD? Are we can white by insert. But by switching the state do with Peter all four by two plus theta equals two. My dignity. So now, fully describing for all far we can white it as a four equals two one edgy DVD minus two feta. Well, so this is that Saudi. So let's proved no, In part b of this problem, we have to find the angle pita, for which this is to raise our perpendicular. So using this question weaken wide. A few tables, too. Whatever. Too into I wanted to do G minus alpha when the both ways will be perpendicular than diesel for vehicles to 90 degrees. By inserting this well, we do the above equation. We can write the tables too. What? I want to into what, a DVD minus 90. So this will give us a value for all far feet, ankles toe. Sorry. 40 tired feet. Ankles to 45 degrees. So this is the required answer. Thank you.

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