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Combine thin lens equations to show that the magnification for a thin lens is determined by its focal length and the object distance and is given by $m=f /\left(f-d_{0}\right)$

$m=\frac{f_{o}}{f-d_{o}}$

Physics 103

Chapter 25

Geometric Optics

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

Lectures

02:30

In optics, ray optics is a…

10:00

In optics, reflection is t…

02:31

Use the thin-lens equation…

00:40

03:50

Consider two thin lenses, …

03:31

Find the object distances …

01:34

The thin lens equation re…

00:24

Show that if two thin lens…

02:32

(a) Show that the lens equ…

02:35

What will be the formula f…

07:24

The Lens Equation If $F$ i…

04:18

A bright object is placed …

02:33

A person with a near-point…

03:39

Two thin lenses of focal l…

03:16

The equation$$\frac{1}…

02:39

(a) Show that if two thin …

01:10

The focal length $f$ of a …

04:38

03:01

(III) $(a)$ Show that the …

01:11

03:57

The focal length, $f,$ of …

(11) A converging lens has…

in this problem, we are asked to prove, um, unification is equal to f divided by f minus d nod. So in order to prove that we will start from a lens equation, which is 11 focal length is in cold too. One day away by distance to the image, uh, plus one or distance to the object. Um, month blind went blind de Nord on both sides here and here. Do you? No. Good. So do you know how do you know what would cancel out? So we will have a dean on or f here. All right. Inside we have Dean owed you divide by Dean Dean, or means our distance. Tow the object or distance to the image. Uh, plus one where we know that magnification is equal to minus D. I distance the image divided by distance to the object. So, um, then we can write distant to the object over our focal length where distance to the object or the eye is equal to oh, minus one over him. Uh, plus one. Then we can solve for him. Then our equation becomes him is cool, too. Uh, f divided by if minus de lawd. So hence it is proved from the lens formula. End off the problem. Thank you for

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