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What is the size of the smallest vertical plane mirror in which a 10 ft tall giraffe standing erect can see her full-length image? (Hint: Locate the image by drawing a number of rays from the giraffe's body that reflect off the mirror and go to her eye. Then eliminate that part of the mirror for which the reflected rays do not reach her eye.)

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A. Only a converging lens can form a real image, so we conclude that the lens is converging.

Physics 102 Electricity and Magnetism

Physics 103

Chapter 24

Geometric Optics

Electromagnetic Waves

Reflection and Refraction of Light

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

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.

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all right. As noted in the hint to the problems, we solve this problem by by drawing rays from the feet of the horse to a mirror on DH from the head to the eyes, a za raise reflect after Mitt. So the problem wants the minimum. It wants the minimum height off the mirror and of for which the horse conceal its entire her entire body in the mirror. Okay, so here's what's happening. So there's a ray traveling from the feet of the horse to the mirror, and this right here is a mirror and the horse, the giraffe. I'm sorry, is out here s o the feet. So the ray travels from the feet of a giraffe to the bear, and it reflects off to the ice. Okay. And note that angle here. The angle here and the angle here are equal. So this distance from the feet to the mirror for the transfer to the mayor here, this vertical distance in this vertical distance for the married to the eyes are supposed to be equal. Okay, the moment might not look like that on my terrible join. What? So that's why these two vertical distance is above labeled white to people. And then you have ah, Ray coming from the head of the giraffe, uh, to the mirror and bounces off to the eyes and the distance from the head to the mirror. Reconnaissance? Why? One from head to mirror is equal to vertical distance. Why one here from mirror too for mirror Teo eyes. In fact, let me make that clear. It looks like a white tube. But that's actually why one so So with this set up, we want the minimum height. H m So already the giraffe height h g we confined. We know, but we confined by adding up all of these vertical heights. Right? So H g is just two times why Warm class, two times y to write So I can ride that us two times. Why? One plus white too, From the diagram way also, nor h m hmm. Is just why to here. Plus why one, um, so receive that. Hmm. This h m is why to plus wire on, which is 1/2 h g. And so it would be 1/2 of 10 feet. So you have five feet. Um and and they haven't That's no That's the minimum. Vertical plane there can make the giraffe see the hole, see her whole image in the American.

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