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\bullet A person with a digital camera uses a lens of focal length 15.0 mm to take a photograph of the image of a 1.40 -cm-tall seedling located 10.0 cm behind a double-convex lens of 17.0 $\mathrm{cm}$ focal length. (See Figure $25.24 . )$ The camera's lens is 5.00 $\mathrm{cm}$ from the convex lens. (a) How far is the camera's lens from the photoreceptors? (b) What is the height of the seedling on the photoreceptors? (c) Will the camera actually record two images, one of the seedling directly and the other of the seedling as viewed through the lens?

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a. 1.58 $\mathrm{cm}$b. 0.1834 $\mathrm{cm}$C) $[\mathrm{No}] .$ The camera only records the image of the seedling viewed through the lens, notdirectly.

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Optical Instruments

Electromagnetic Waves

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

University of Sheffield

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.

02:11

A person with a digital ca…

02:46

Two converging lenses, sep…

04:34

A 1.20-cm-tall object is 5…

05:47

03:06

A camera lens has a fixed …

06:07

A camera lens usually cons…

02:59

A certain digital camera h…

03:13

A camera with a 50.0 $\mat…

So for the first question, it was asking us all parts. The camera stands from both receptors. Well, first, let's determine image distance on the camera's lens. OK, which is when did you apply the formula here? We just want over after you could want people's. Why were you we know you was the object distances 10 centimeter and the focal ends of 17 seven years. V chemical. You have? Oh, humans have after the arrangement. And if we plug in, money would get we usually go to 10 centimeters times 17 point. Oh, seven years over. 10 7 years, minus 7.17 point holds interviews. And this will give us these equals two inactive 24 0.3 seven years. The naked sign here means the images seem very okay, so apply the same form of the wall over half. It was a war V class war view. Okay, so now we can find the image distance for the photo receptors. Okay, which is s use, uh, have to, in his case, on me to use you. So in this case, the, um, never see in Belgium this case. So the the object distance, which is the distance between the cameras, Lynch and the image form by the double come back since is okay, image distance plus the +57 years. Remember wise if I seven years ago said that camera's lens is fast Lehman meters from the Comex that so you to in this case is do you want close five, seven years, Okay. And this will give us young too easy or too 24.3 centimeters plus by centimeters, which is 29.3 seven years. Okay. And the negative sign here is ignored because, like why? I said the next time from the previous question, I mean started previous solution was, uh it just means the image this inquiry, okay. And the folk who lays football, Uh uh, full of lens. But camera lance is 15 millimetre. Okay, so we so have to is 15 millimeter, which is one point by setting here. Okay. And we know we're looking for the image distance on the photoreceptors, so me, too, can be equal to you too. Times have to over you two minus have to, which is 29 horning three centimeters times 1.5 same years. Over 29 0.3 seven meters, minus one point by centimeters. And this will give us the image. Distance to for the receptors is about 1.58 seven years. Okay. Okay. Sorry about that. So by okay, centimeters. So the camera lens. So this, um between camera thence to the photoreceptors will be about one point by a centimeter. Okay, So question be was asking us What is it? Hide, Uh, the settling on her father's receptors. Well, we know the former other. We just The formula of a magnification was equal to minus V over U, which is is crying over h Okay, Negus I'm here, Mr. Images inward. It is the image distant, usually object isn't a surprise The height of image HPC actual heights. So in order to find out the heights off the settling on for the receptors going to find out the height on the camera lens first with the edge by here. Okay, so we got age. Prime is equal to minus three over you. Ties age. Okay? Yeah. Be with this thing. Image distance is given as remember was, uh, 24.3 centimeters full of camera lens. You is the object asses which is give as 10.7 year. Okay, H is the actual heights, which is 1.4 centimeter. Okay, so H prime is equal to minus 24.3 centimeter over 10 point. Oh, centimeter times 1.40 Send him here. Which verse? Let me see our negative three point in for Oh, too centimeter. And the next thing sign here, it just means, uh, the image is inverted. Okay, So, so necessary height or the size of image on camera lens. So they hide on the size of, ah, image on the cameras that camera lens is equal to on. Uh huh. The actual heights on the fourth of receptors. Okay, so that's a issue. See? Okay, so if we apply the san formula, which is and we go to negatively, but in its came with her mother photo receptors. So we see over you see, is equal to age prime, see, over a C. Okay. We see is the image distant of the photo receptors. You sees objects into the, uh for the receptors and age price, Eesti height of image on the father receptors and the HC easy, actual size of a image on the photoreceptors was just e hide off image on the camera lens. OK, so we're looking for Tofik out the hide off image on a further receptors, which is h prime c equal to next. We see over you see times HC. Okay. And the ah, that way. No. The image distance with the photo receptors was Cuba's one point by a seven year. An object distance is 29.3 centimeters. Our previous questions. So we get it. Uh, we also know the HC is given as 3.4 or two centimeter. Okay, so if we applying in value, we'll get image on the photo receptor. Is your privacy is able to inactive BC, which is 1.587 years over. You see, which is 29.37 years times a C is ah, three point for two seven years. And this will give us is Francie is equal to negative Joe Point Want a 34 seven years and the negative sign here is also makes the image was inverted. Okay, so the question see, was asking us. Well, camera actually record two images. Okay. Well, no. Why is that I mean, right? No, you no is. Because the camera only records the image of a seat laying view to relations, not directly. Okay, so the answer is no. And that's the answer for all the questions and thank you.

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