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A slide projector uses a lens of focal length 115 $\mathrm{mm}$ to focus a 35 $\mathrm{mm}$ slide (having dimensions 24 $\mathrm{mm} \times 36 \mathrm{mm} )$ on a screen. The slide is placed 12.0 $\mathrm{cm}$ in front of the lens. (a) Where should you place the screen to view the image of this slide? (b) What are the dimensions of the slide's image on the screen?

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$\underline{D}$$=25 \mathrm{mm}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Optical Instruments

Electromagnetic Waves

Reflection and Refraction of Light

Hope College

University of Winnipeg

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.

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You wish to project the im…

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$\cdot$ The dimensions of …

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A slide projector has a pr…

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You are designing a projec…

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A slide projector has a le…

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In a slide or movie projec…

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A certain slide projector …

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A slide projector has a co…

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A $35-\mathrm{mm}$ slide (…

Okay, guys, let's take a look at the first question. So the first question was asking us where your place is going to appeal. Image of the slide. Which it was asking us what he stayed Image distance for this question. Okay, so we know that one over Focal and is equal to one over image distance minus one over object. Last have is the focal length, which is skewing as 1 15 millimetre. You is the object. This is which is given as 12.7 year. So now we know Nevius colder. U f over you, Plaza. If we plugging the value will get 12.1 centimeters. 120 millimeter. Plus I'm sorry. Times wants 15 millimetre. Do you have? Ah divided by 1 20 millimeter plus 1 15 Samir. And this will give us the image distances about 50 a 27 millimeter, which is five point a seven sending me here. Okay, so if we draw a guy diagram, we said this is the land, okay? And if we said Ah, you're saying that the the slides place 12 centimeter in front of the lens. OK, so we said at a slices right here. Okay, This is the slice and distant between. Ah, 12.0, centimeter. So now, since we got the the image distance is given as 58 points on the mirror, which is 5.87 member here. That means when you place the screen somewhere like here, they say the straight line here is the screen is a screen. Okay? And this is 5.87 centimeter. Okay, so which would place the screen behind Lance? And we're just about five point s a Sorry, what? 5.87 centimeter away from the lanes. Okay, so for question be it was asking us what is the dimensional? The slice image on the screen. While we know this is asking us to find out the hides off image. So giving that the former for the magnification is equal to minus be over you Okay, which is you? Goto h Pry over h. So which will give us that? H prime is a single. You go to minus three times H over you okay? Age is the actual heights. Oh, actual dimension Visa imaged distant. That used the option distance. So we got via and you from the previous question and H school equal to 35 millimeter and free parking. The formula. We'll get age price equal to minus 50 A 27 millimeter times 35 millimeter over you, which is 120 millimeter. And this will give us the H prime is equal to minus 17 0.1. Me a meter. Okay. Minus here. Mr is inverted. It was in very the Mr Images Real. Okay, so that's my answer for this question. Thank you.

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