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$\bullet$ A narrow beam of white light strikes one face of a slab of silicate flint glass. The light is traveling parallel to the two adjoining faces, as shown in Figure $23.60 .$ For the transmitted light inside the glass, through what angle $\Delta \theta$ is the complete visible spectrum of light dispersed? (Consult the graph in Figure $23.29 .$)

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$0.66^{\circ}$

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

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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.

04:32

A narrow beam of white lig…

05:11

$\bullet$ A narrow beam of…

10:48

(III) A parallel beam of l…

03:54

02:52

A prism made of flint glas…

05:55

(II) A parallel beam of li…

04:45

02:19

In Fig. $33-54,$ a beam of…

04:41

The index of refraction fo…

in this problem. They're referred to a table which is supposed to give us some data. And so this is table 23 20 niner. Her figure 23 29. And when we look at it, we see the when we have a wavelength of 408 meters are index infraction is equal to 1.67 And when we have a wavelength of 700 meters, our index of refraction is 1.62 And so using this, we can figure out what the change in refraction angle we have for this situation. And so let's first do the 400 animators. And so we're just going to use smells a little, except I'm gonna solve for the sign of the refraction angle here sign if they to be. And this is equal to in a over end be time Sign of today. This is just snails, a lonely just divided by N b here. That's all I did. And then now we can plug in what we know from situation a hand. The in a is the index of refraction outside. And so since it's air to 1.0 and then This is 1.67 I got this 1.67 right here and then I also know that today in the situation is 35 degrees. And so when I saw this now and then, take the inverse ein. This tells me that they did. B is equal to 21 degrees. I'm going to do the same thing for the 700 a meter case. The only thing that changes is this 1.67 Here it turns into a ball 0.62 and so they'll change the answer slightly. Now they'd be wind up being about 20.7 degrees. And so now the Delta Theta is just the difference of these two, since these are the two extremes, and so the physical to the larger one, which is muscle here, minus the smaller one. And this is eagle to belle 0.6 degrees. And so that's the range of angles we have for a refraction ing. And that completes a problem

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