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$\cdot$ A refracting telescope has an objective lens of focal length 16.0 in and eyepieces of focal lengths $15 \mathrm{mm}, 22 \mathrm{mm}, 35 \mathrm{mm},$ and 85 $\mathrm{mm}$ . What are the largest and smallest angular magnifications you can achieve with this instrument?

27.09 ,4.78

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

University of Sheffield

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.

01:02

Consider a refracting tele…

01:57

A refracting telescope has…

00:30

What is the angular magnif…

02:10

The largest refracting tel…

03:57

01:01

01:07

A refracting telescope is …

Okay. So for these questions, he was asking us what is the largest and smallest into the magnification. Okay, so the formula for the angular making invitation off the telescope is given us m go to negative everyone over to next. A sign here just means the images is inverted. So it's not really means the The value is negative. Okay, so F one here makes the focal lands for objective men's. After who here means deed focal lens for my peace. Okay, so well, in order. So this is the General Former buddy Anglo American vacation number for the task. So I want to decrease on confusion here. So why don't these were only care about the value off the magnification number being in these questions? So what? I want you to put the absolute value, and this will just give up f one over half to Okay, So while we know F one, which is the focal lens, well, objective lands is given as 16 inches. Okay, which is about 400 six point for millimeter. Okay, So when you know that one of the focal lands will be objective, plans is fixed. So that means that magnetic magnification numbers only change when the focal s off. The he's changed. So I m is related to act too. Okay. And we know she's, uh f one is constant because this owns 16 inches. These questions have ones equals some constant. Okay, means that Which means that if I want the largest magnification number have to which is the focal lens off the eyepiece Must be the smallest. Okay, because if I increase I m because it anchors em just a form doesn't change after months decrease. In other words, if I want to get a Minutemen angular, uh, angular magnification number have to wish is the focal dance for the eyepiece. Must be the match, man. Because if I want to decrease it and he's one, that'll change. I have two months increase. Okay, so now we know that, um, maximum focal lens for the eyepiece is given us 85 millimeter, and the minimum prevalence for my peace is giving us 15 millimeter. So no Nevada off magnification number for the largest. We'll be just equal to F one over after a minimum. Okay. And this will give us at one sq 406 point four millimeter over the Minutemen. Focal lens for the eye piece was just 15 meters. This will give us the largest angle. Um, magnification number is 27 point own I and the Minutemen Magnification number. We go to F one over F two massive, which is equal to 106.4 millimeter over 85 millimeter. And this will give us this smallest Anglo American biggish number is four point 78 Okay, so these are the solution for this question. Thank you.

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