Problem

A microscope has an objective lens with a focal l…

02:08

Problem 29 Medium Difficulty

Find the magnification of a telescope that uses a 2.75 -diopter objective lens and a 35.0 -diopter eyepiece.

Answer

12.7

Topics

Electromagnetic Waves

Wave Optics

Book Cover for College Physics 2017

College Physics 2017

Chapter 25

Optical Instruments

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Top Physics 103 Educators

Elyse G.

Cornell University

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Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Meghan M.

McMaster University

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Video Transcript

So in this problem we have a telescope which has power of the objective P O that is equal to 2.75 die after right and the power of the eyepiece, which is P E. That is 35 Dr. So what we want to do is why we want to find out the angular magnification from this information that we have here. So the first thing we'll do is we will first find the focal it of the eyepiece and objective. So for objective focal length, which is fo is going to be basically won over p o. All right. And from this guy over here, the focal length of the eyepiece is going to be won over P e. And by the definition of the angular magnification, which is M because F over FT, we can write down from here. It is going to be okay over p O. Because F four equals one over p o and F equals one. We're p e. And when you flip that reciprocal, then peace is going to be in the numerator and pure is going to be and, uh, denominator, all right. From here we will get 35 over 2.75 which is equal to 2.7. Okay, so the angler magnification is to open seven.

Netra S.

University of Wisconsin - Milwaukee

Topics

Electromagnetic Waves

Wave Optics

Book Cover for College Physics 2017

College Physics 2017

Chapter 25

Optical Instruments

Top Physics 103 Educators

Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Aspen F.

University of Sheffield

Meghan M.

McMaster University