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Water drop magnifier. You can make a pretty good magnifying lens by putting a small drop of water on a piece of transparent kitchen wrap. Suppose your drop has an upper surface with a radius of curvature of 1.6 $\mathrm{cm}$ and the side on the kitchen wrap is essentially flat. (a) Calculate the focal lengthof your water lens. (b) What's the angular magnification of the lens? (c) Suppose you place this planoconvex water lens directly onto the surface of a table, so that the tabletop is in effect about half the thickness of the drop. or 1.0 $\mathrm{mm}_{\text { a away }}$ from the lens. Where does the image of the tabletop form, what type is it, and what is its magnification? (Use the thin lens equation here, even though the small object distance relative to the thickness of the lens makes it a poor approximation in this case.) What does this result tell you about how a simple magnifier works?

a. 0.8 $\mathrm{cm}$b. 31.25 $\mathrm{cm}$c. $-0.114 \mathrm{cm}$

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

University of Washington

University of Winnipeg

Lectures

02:30

In optics, ray optics is a…

10:00

In optics, reflection is t…

03:11

When a drop of water is pl…

08:57

A simple magnifier gives t…

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$\cdot$ The lens of the ey…

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A magnifying glass is a si…

06:26

A simple magnifier of foca…

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The crystalline lens of th…

01:54

Refraction of liquids. The…

10:25

A Lens in a Liquid. A lens…

You measure the focal leng…

02:58

A thin lens with a focal l…

07:37

Angular Magnification. In …

01:53

A simple magnifier for vie…

(III) Given two 12 -cm-foc…

05:18

Given two 12-cm-focal-leng…

00:44

$\cdot$ A thin lens with a…

03:27

The lens-maker's equa…

01:40

Consider a telescope of th…

11:12

Crystalline lens of the ey…

18:26

The radii of curvature of …

39:50

As shown in Figure P36.34,…

so we can apply the Finland's equation here, Um, which is one of our focal length pickles. Ah, lips equals come and minus one, right next to a fraction minus one times one of her various of courage from the front and minus one of rates of coverage of the back end. Ah, and were given that this case, the plane, a convex lens are warm just 1.6 centimeters, but are too zero. So this term for Amar to is an infinite flat. So one of our two becomes serious, so so be approximated as so approximately. We have one of our F equals on minus one times whenever act one because, ah, our two term drops out. So one of the F is and meaning the radius of curvature off the index of refraction of water 1.33 minus one times one over 1.6 centimeters. And so therefore, f is Fogell. Ink is 4.8 centimeters on part B just want lateral magnification, so that's 25 centimeters over focal ing. So that's 25 over 4.8. And that gives us lateral mount magnification ellipse. I'm an angular magnification that gives us angular magnification of 5.2 on finally part. See, we want to find now where the image is formed and what type of magnification and Senator so image distances found from one of our F minus one over S uh, f of course is one point for eight centimeters. Let's write as millimeters, actually, because we have ah object distance of millimeters. So Athens 4.8 millimetres, our group's 48 millimeters point in centimeters s is just once millimeter. And so this gives us as prime of negative 1.2 millimeters. And so m is thinking the best prime over s. So that's negative. And so that's negative one point, Tio, huh? Over negative negative one point to some positive 1.2 over one millimetres and some magnification is 1.2 times. So notice that as prime is negative So this is a virtual image and M is positive. So it's ah ah, pride are direct image

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