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(a) If you treat a $10 \times$ eyepiece of a microscope as a magnifyingglass that produces an image at infinity, what is its focal length? (b)The microscope is designed for an image distance of 163 $\mathrm{mm}$ from theobjective, and the objective is marked $25 \times .$ What is its focal length?

a) 2.5 $\mathrm{cm}$b) 0.652 $\mathrm{cm}$

Physics 103

Chapter 27

Optical lnstruments

Wave Optics

University of Washington

Simon Fraser University

Hope College

University of Winnipeg

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So the first item of this problem, we want to calculate it. The focal length off eyepiece lens of a microscope, knowing that this lens has a magnification off 10 times the object. And what as we got, we know that as a standard, we can always use a near point as 25 same team enters, it is a C. So if we want to calculate it for Cole, and I just need to remember off the magnification equation, which is and divided by F when the image is at infinity, which is the case, So this is just going to be the focal. And if we want to calculate it, equal to end divided by mm. So it is just 25 divided by 10 so they focal ends is 2.5. Hopes five. Same team it there's and that's the answer to the first I 10 of the problem. The second I turned off the problem, I couldn't be the eye and be We want to calculate the focal and off the objective lens. The objective lens this time well, calculate the focal length of the objective. We can always remember the formula, which is minus D all right, divided by the magnification off the objective, the D. I is just the distance off the image to the lens, and the problems tells us that this distance is just 163 Millie mentors, and the magnification is 25 times. So let's calculate. This is just going to be minus 16 tree divided by 25 miners. 25 actually, because is this standard that the magnification for the objectivist negative? So this is just going to me 6.5 millimeters, And that's the answer to the second item of the problem, and that's all thanks for.

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