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$\bullet$$\bullet$ You (height of your eyes above the water, 1.75 $\mathrm{m}$ ) are standing 2.00 $\mathrm{m}$ from the edge of a 2.50 -m-deep swimming pool. You notice that you can barely see your cell phone, which went missing a few minutes before, on the bottom of the pool. How far from the side of the pool is your cell phone?

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1.71 $\mathrm{m}$

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

Simon Fraser University

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.

03:17

You (height of your eyes a…

00:59

04:28

03:09

03:29

You (height ofyoureyes abo…

04:18

It's nighttime, and y…

02:28

A 150-cm-tall diver is sta…

07:17

You are standing in a 1.5 …

05:18

The top of a swimming pool…

13:02

08:15

03:14

You're looking straig…

03:49

A 150 -cm-tall diver is st…

03:15

A 1.8-m-tall diver is stan…

03:42

A person is lying on a div…

01:29

04:23

in this problem. Worse Fanny and a height of 1.75 meters, or at least our eyes are at the height above the edge of a pool here. Now we're told that we're barely able to see the object in the pool, and so we're going to have a refraction at the corner of the pool. We know we're going to be looking at the corner because we're just barely able to see the options. The death of the water stupid, my five meters below the corner in the distance for his only of our eyes from the corners. Two meters. We want to figure out the horizontal distance from the corner of full or the edge of a pool to the object. And so first, let's figure out what this stated he is by using some geometry. We know the Tangent of Fidelity sequel to the office over the Jason, which is too over 1.5, and so this tells us that identity, if you take the inverse tangent, is 48 point anyone degrees. Now, let's use knows law. Snow's along tells us that 1.0 which is the index of a fraction of their time. Sign of of this angle fidelity, which is 48 0.81 degrees, is equal to the index of refraction of water down here, which is 1.333 time sign of they die. And we want to sulfur this state I Right now we do that by taking the sign of 48.81 well defined by one which doesn't change anything. And then we divide that 1.333 and then take the amber sign. And this gives us at the incident. Angle is equal to 34 1 37 degrees. Now that we know this, we can use geometry. And Pharrell what he is tangent of the incident angle is equal to D over 2.5. All right, he is the opposite to my five is the adjacent and then taking the attention of 34.37 here and then multiply it by 2.5 to sell for D. We get that. Diaz won't 0.71 meters and that's the answer

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