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Problem

(a) Use a ray diagram to determine the approximat…
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Sheh Lit C.
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Problem 61 Easy Difficulty

A laser beam enters one of the sloping faces of the equilateral glass prism $(n=1.42)$ in FlGURE $26-69$ and refracts through the
prism. Within the prism the light travels horizontally. What is the
angle $\theta$ between the direction of the incident ray and the direction
of the outgoing ray?

Answer

30.5 $\mathrm{deg}$

Related Courses

Physics 103
Physics

Chapter 26

Geometrical Optics

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Video Transcript

this diagram equal electoral prism. Um, being shines onto the left face off the prism, and then the reflective being goes horizontally inside the prism and then gets out as sure. And we want to find the angle between the incident beam and the outgoing beam in this question. OK, so to do this problem first, we need to identify some angles. Okay, so So wait through the normal. Okay, so decide the normals, Okay? And then she'll we recognize this is 120 degrees. Uh huh. So, because of the, like, this being 60 degrees and this is 60 degrees and can kindof figure out like this is even. And this is 90 right? Normal. And so you can calculate that the center is 120 degrees. So here is going to be 30 degrees and Debbie degrees. Yeah. Yeah, because gain you have this trip is, um, right. The top will be 120 degrees. So And since the normal is 90 and the refractive angle reflection is 30 degrees. Okay. I was going to call this data I and this is data. I Yeah, and then, um and if you look at the normal, faster incident beam. And you recognize that this is, uh, data, I minus 30 degrees. Okay. And then then data will be two times data I minus 50 degrees. Okay, because here is data I minus 30 degrees saying this here, okay, is to about the same. And then this data will be twice of it. Okay, so now after you analyze the situation again, we are going to use now, so find data I And so after we find a single incident in the incidents, and then we can find the data. Okay. Okay. So using Snell's law, um have, uh, sign. Did I, uh, this is S o the refractive index. This one. This is equal to sign that. I goes and times sign they are. Then there are ISS three degrees. Okay, so I did. I is 1.42 Signed. 30 degrees. This is 0.71 And so data I is to go to on 45.2 degrees. Okay. And data is two times data. I minus 30 degrees. Okay, so this is equal to two times 45.2 degrees, minus 30 degrees. Yes, 30.5 degrees. Okay, so this is the answer for this question and done

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