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APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
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Topic:
Geometric Optics (Math Problem Sample)
Instructions:
You must do Activity B (page 5) number 2,3,4 (especially 2,4) without the data from the experiment. Do page 6 (Question section) on number 1a,b,c,d. If you can also do questions in Activity A without the data.
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Geometric Optics
Converging lens;
Incident ray travelling parallel to the principal axis will retract through the lens and travel through the focal point on the lens opposite side.
An incident ray that passes through the focal point onto the lens will retract and reflect through the lens.
An incident ray passing through the lens centre will continue in the same direction as it had after entering the lens. (Kriss 1998)
Let's assume the height of the image is 10cm
F=10cm
Object height =10cm
Focal length= 1/So+1/Si
Image height Ho=10cm
So
Si
Hi
Orientation
(inverted/upright)
Observed
Magnification
(hi/ho)
Theoretical
Magnification
(-si/so)
Magnification % error
Calculated
Focal length (cm)
20
20
10
inverted
1
0
10
25
15
7.5
inverted
0.75
0
9.36
30
10
5
inverted
0.5
0
7.5
40
5
2.5
inverted
0.25
0
4.4
50
0
0
No image
0
0
50
-
Image height =20cm
So
Si
Hi
Orientation
(inverted/upright)
Observed
Magnification
(hi/ho)
Theoretical
Magnification
(-si/so)
Magnification % error
Calculated
Focal length (cm)
20
40
25
Inverted
1.25
0
13.3
25
30
18
Inverted
0.9
0
13.6
30
20
11
Inverted
0.6
0
12
40
10
3
Inverted
0.3
0
8
50
1
5
Upright
0.5
-0.05
50
Image height =5cm
So
Si
Hi
Orientation
(inverted/upright)
Observed
Magnification
(hi/ho)
Theoretical
Magnification
(-si/so)
Magnification % error
Calculated
Focal length (cm)
20
15
5.6
inverted
1.6
0
1.33
25
10
4
inverted
0.8
0
2.5
30
5
2.8
inverted
0.56
0
6
40
0
0
blurred
0
0
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