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S 12 and 17, Purpose, Theory – PASCO OS-8515C Basic Optics System User Manual

Page 33: Procedure, Analysis

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M o d e l N o . O S - 8 5 1 5 C

E x p e r i m e n t 1 2 : F o c a l L e n g t h a n d M a g n i f i c a t i o n o f a T h i n L e n s

33

Experiment 12: Focal Length and
Magnification of a Thin Lens

Purpose

The purpose of this experiment is to determine the focal length of a thin lens and to
measure the magnification for a certain combination of object and image distances.

Theory

For a thin lens:

(eq. 12.1)

where f is focal length, d

o

is the distance between the object and the lens, and d

i

is the

distance between the image and the lens. By measuring d

o

and d

i

the focal length can

be determined.

Magnification, M, is the ratio of image size to object size. If the image is inverted, M
is negative.

Part I: Object at Infinity

In this part, you will determine the focal length of the lens by making a single mea-
surement of d

i

with

.

Procedure

1.

Hold the lens in one hand and the screen in the other hand. Focus the image of a
distant bright object (such as a window or lamp across the room) on the screen.

2.

Have your partner measure the distance from the lens to the screen. This is the
image distance, d

i

.

d

i

= _______________

Analysis

1.

As d

o

approaches infinity, what does 1/d

o

approach?

Required Equipment from Basic Optics System

Light Source

Bench

Converging lens of unknown focal length

1

1

Instructors: see note on page 63.

Screen

Other Equipment

Metric ruler

Optics Caliper (optional, for measuring image sizes), PASCO part OS-8468

1

f

---

1

d

o

-----

1

d

i

----

+

=

d

o