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Figure 25.53 shows a ray of light passing from one medium into a second and then a third. Show that $\theta_{3}$ is the same as it would be if the second medium were not present (provided total internal reflection does not occur).

$\theta_{3}=\sin ^{-1}\left(\frac{n_{1} \sin \theta_{1}}{n 3}\right)$

Physics 103

Chapter 25

Geometric Optics

Reflection and Refraction of Light

Cornell University

Simon Fraser University

University of Sheffield

McMaster University

Lectures

02:30

In optics, ray optics is a…

10:00

In optics, reflection is t…

03:21

(III) Suppose a third mirr…

03:19

Total Internal Reflection<…

03:20

13:52

02:12

$\bullet$$\bullet$ A ray o…

04:46

Figure 30.23 shows light p…

02:24

Light travels from point $…

04:11

Additional ProblemsIn …

02:28

Choose two rays in Fig. 23…

03:55

Figure P35.58 shows a top …

01:56

Light passes from glass (m…

01:28

A beam of light both refle…

02:43

Reflection and Refraction<…

04:50

03:14

03:46

The reflecting surfaces of…

00:45

Considering the previous p…

03:00

In Fig. $35-34,$ a light r…

00:39

Does total internal reflec…

01:18

Prove that a ray of light …

light moves from refractive index off and one thio refractor index often too, huh? They should be straight here. And then from there it moves into ah refractive index off in three. So on three. So this goes like this, it hits the surface and then referred fact bench towards a normal. And then when it leaves this medium, it goes away. Um, So, um, this is it. That one, uh, they're the one. This is a thing, too. They're too. So this will be the true again. And this is their 23 We had asked to prove that, uh um here, um, show that that the tree is the same is it would be if the second medium was not present. So in order to prove that we write to Snell's Law from Perfect Index and one to reflecting Nixon, to which is it in time signed for one that the one is equal to and two times off their to do, which is refracted angle they do. Then we can write a Snell's law from second to third medium, which will become a sign off and do a sign over there too. So the refracting angle will become angle of incident. You duel tonight, Ingles. This world, people two in three time. Sign off. Um, 33. So we see the This is equal to this one where this is a good to this one. Then we can quit this on one Thio. They, uh, that one. That is a quote toe and tree. Ah, sign that tree. So there's so equation shows if we don't have a second medium here, So hence proof that, uh um they're the three, um, shows if we don't have a second medium, end off the problem. Thank you for watching.

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