PASCO OS-8459 Beginning Optics System User Manual

Page 47

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M o d e l N o . O S - 8 4 5 9

T e a c h e r ’ s G u i d e

47

Part 2:

Typical results.

y-intercept = 1/f = 0.0977 cm

-1

x-intercept = 1/f = 0.103 cm

-1

Answers to questions:

1. The image if inverted. 2. The image is real because it can be viewed on a screen.

3. For a given object-to-image distance, the two object distance-image distance pairs are the inverse of each
other, which demonstrates the reversibility of light through a lens. 4. The magnification is negative because the
image is inverted. 5. The three determined values of f are unlikely to be exactly equal, primarily due to measure-
ment error.

Table 10.1: Image and Object Distances

Distance from

light source to

screen

d

o

(cm)

d

i

(cm)

1/d

o

(cm

-1

)

1/d

i

(cm

-1

)

Image Size

Object Size

100 cm

88.5

11.5

0.0113

0.0870

5.5 mm

42 mm

11.0

89.0

0.0909

0.0112

81 mm

10 mm

90 cm

78.3

11.7

0.0128

0.0855

11.3

78.7

0.0885

0.0127

80 cm

68.0

12.0

0.0147

0.0833

11.5

68.5

0.0870

0.0146

70 cm

57.7

12.3

0.0173

0.0813

11.9

58.1

0.0840

0.0172

60 cm

47.1

12.9

0.0212

0.0775

12.3

47.7

0.0813

0.0210

50 cm

36.0

14.0

0.0278

0.0714

13.4

36.6

0.0746

0.0273

Table 10.2: Focal Length

f

Result from x-intercept

9.75 cm

Result from y-intercept

10.2 cm

% difference between results from intercepts

4.4%

Average of results from intercepts

9.98 cm

Result from Part I

10.0 cm

% difference between Average of results from intercepts and result from Part I

0.2%

Table 10.3: Magnification

Point 1

Point 2

calculated from image and object distances

-0.130

-8.09

calculated from image and object sizes

0.13

8.1

% difference

0%

0.1%

M

M

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