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You want to take a full-length photo of your friend who is 2.00 m tall, using a 35 mm camera having a 50.0 -mm- focal-length lens. The image dimensions of 35 $\mathrm{mm}$ film are $24 \mathrm{mm} \times 36 \mathrm{mm},$ and you want to make this a vertical photo in which your friend's image completely fills the image area.(a) How far should your friend stand from the lens? (b) How far is the lens from the film?

a) Therefore, the distance at which the person should stand is $[-2.83 \mathrm{m}]$b) Therefore, the distance of the lens from the film is $[5.1 \mathrm{cm}]$

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

Simon Fraser University

Hope College

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.

00:42

You want to take a full-le…

01:40

The actual frame size of $…

05:23

Problem 25.09You want …

03:03

When a camera is focused, …

03:19

03:13

A camera with a 50.0 $\mat…

04:54

The actual light sensor si…

02:33

You photograph a 2.0-m-ta…

01:27

A camera lens has a focal …

also for the first question when you're determining the object is since which is the whole Fars for your friends stand from Okay, so we know. Ah, well over four glances people want over image distance my as well. Over I'm distance and the former for magnification is equal to minus We over you just also able to hpai over age It's refines the height of image edges the actual hearts so far in question were not me. Hi. The image is 36 millimeter and the actualize 2.0 meter. So if we do, some arrangements will get Actually, here is a list of this be is even toe minus H five over age task You okay? And my s h pry over age can be simply legal too. Minus 36 times tend to about off next three. Peter, you seem salon millimeters Tend to apartment three meter Okay, over H, which is 2.0 meter test. You okay? This will give us He is equal to minus 0.1 a You okay? And if we plugging back to the equation that we that I give you guys a first, we'll get one over f was just one over. The focal lens is simply equal to one over zero. Ah, minus zero point zero on a you minus one over you. Okay. Used print. This is here, and this will give us our f is equal to one over you. Times one over. Minus 0.0 on a minus one. Okay. And since we know they vocal ins, it's Caymus. 50.0 millimeter. Which chemicals? Or 50 times? 10 to the power of 93 meter. So you can be equal to ah one over minus 0.1 a minus. One times the focal A. Okay. And this will give us one over minus 0.0, while a minus one times 50. Ties tend to Ah, our language. Three meter. You legal too? Which is object distance only. Ego as minus two point. Any three meter. Okay, we'll question be it was asking for the image distance in a question. Which is how far is the land spawned appeal. Okay, so we gotta figure out be and remember from a previous question, me is equal to minus 0.1 a. You and we're in kind of you you is given as minus to appoint a three meter, which means that the image this is we can be you go to minus 0.1 a times minus 2.83 meter, which is you go to 0.0 if I won meter. If we convert it to Sam, meter is 5.1 centimeter. Okay? And that's the solution for this question. Thank you.

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