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A telescope is constructed from two lenses with focal lengths of 95.0 $\mathrm{cm}$ and $15.0 \mathrm{cm},$ the 95.0 -cm lens being used as the objective. Both the object being viewed and the finalimage are at infinity. (a) Find the angular magnification of the telescope. (b) Find the height of the image formed by the objective of a building 60.0 $\mathrm{m}$ tall and 3.00 $\mathrm{km}$ away. (c) Whatis the angular size of the final image as viewed by an eye very close to the eyepiece?

a. 6.33b. 1.9 $\mathrm{cm}$c. $7.26^{\circ}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Optical Instruments

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

University of Washington

Simon Fraser University

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.

07:17

A telescope is constructed…

03:21

03:55

'(Chapter 34 Geometri…

03:08

Two lenses, of focal lengt…

01:12

05:09

A microscope has an eyepie…

01:08

Yuu have a set of convergi…

01:27

04:49

The focal length of the ey…

02:05

$\bullet$ The focal length…

All right. So a double double convex lens here s o. The equation of Finland's applies is that one of their focal length equals refractive in next minus one times one over R one. Man, it's hard to now the sign convention is such that Ah, more one are two. You are one. If convex will be positive. Ah, and our two contacts will be negative. Okay, so Whoops. So the idea here is that we have a double convex lens. So for that, our one is a cz positive are they? Both have value are but are too should be negative. Are because you want a conk A for that to be positive. Okay, on dso And so what we have here Eyes that one over After close and minus one times one over plus R minus one over minus are. So you know that this just reduces to one over our plus one over are, in other words, two of our. So when you have them is and minus one times two over our equals one over f and you can make end the subject here. Um, and that gives you n equals are over to f plus one. Okay. And so end, therefore, is our is 2.5 centimeters over to after, plus two times 1.87 centimeters. Now this one, the refractive index is 1.67

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