You have two lenses of focal length 25.0 cm (lens 1 ) and 5.0 cm (lens 2). (a) To build an ast

Name: Problem 55, Chapter 24: College Physics
Uploaded: 2020-06-07T06:11:14-08:00
Duration: 2 min 47 s
Channel: Daniel Alva
Description: You have two lenses of focal length 25.0 cm (lens 1 ) and 5.0 cm (lens 2). (a) To build an astronomical telescope that gives an angular magnification of 5.0, how should you use the lenses (which for objective and which for eyepiece)? Explain. (b) How far apart should they be?

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Question

You have two lenses of focal length $25.0 \mathrm{~cm}$ (lens 1 ) and $5.0 \mathrm{~cm}$ (lens 2). (a) To build an astronomical telescope that gives an angular magnification of $5.0$, how should you use the lenses (which for objective and which for eyepiece)? Explain. (b) How far apart should they be?

   You have two lenses of focal length $25.0 \mathrm{~cm}$ (lens 1 ) and $5.0 \mathrm{~cm}$ (lens 2). (a) To build an astronomical telescope that gives an angular magnification of $5.0$, how should you use the lenses (which for objective and which for eyepiece)? Explain. (b) How far apart should they be?

College Physics

lan Giambattista,… 2nd Edition

Chapter 24, Problem 55

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Solved by Expert Daniel Alva

06/07/2020

Step 1

This is because the objective lens is responsible for gathering light from a distant object and forming a real, inverted image, while the eyepiece lens is responsible for magnifying that image for the observer. Show more…

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You have two lenses of focal length $25.0 \mathrm{~cm}$ (lens 1 ) and $5.0 \mathrm{~cm}$ (lens 2). (a) To build an astronomical telescope that gives an angular magnification of $5.0$, how should you use the lenses (which for objective and which for eyepiece)? Explain. (b) How far apart should they be?

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Key Concepts

Angular Magnification

Angular magnification in an astronomical telescope is defined by the ratio of the focal length of the objective lens to that of the eyepiece lens. This ratio determines how much larger the telescope makes distant objects appear when viewed through the eyepiece.

Role of Objective and Eyepiece

In a telescope, the objective lens collects incoming light and forms a real image of a distant object, while the eyepiece lens acts to magnify this image for the viewer. Selecting which lens serves as which component is crucial for achieving the desired magnification and image quality.

Lens Separation in Telescopes

For an astronomical telescope configured to produce an image at infinity (which is easier on the eye), the distance between the objective and the eyepiece is set equal to the sum of their focal lengths. This arrangement ensures that the light rays exit the eyepiece as parallel beams, offering a relaxed viewing experience.

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