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Refractive Index Using Hollow Cell and Percent Light Transmission Measurement:
Lab Worksheet
Example Answers
Part 1. Refractive Index Using Hollow Cell
See the theoretical data below, based from Snell’s law, using n=1.33 for water and n=1.47 for glycerin.
Table 1. Angle of refraction (
) vs. changing angle of incidence (
).
2
1
For water:
sin
sin
1
2
1
2
0
0
0.0000
0.0000
5
7
0.0872
0.1219
10
13
0.1736
0.2250
15
20
0.2588
0.3420
20
27
0.3420
0.4540
34
0.4226
0.5592
25
30
42
0.5000
0.6691
35
50
0.5736
0.7660
40
59
0.6428
0.8572
45
70
0.7071
0.9397
start of TIR
50
For glycerin:
sin
sin
1
2
1
2
0
0
0.0000
0.0000
5
7
0.0872
0.1219
10
15
0.1736
0.2588
15
22
0.2588
0.3746
20
30
0.3420
0.5000
25
38
0.4226
0.6157
30
47
0.5000
0.7314
35
57
0.5736
0.8387
40
71
0.6428
0.9455
45
start of TIR
0.0000
0.0000
50
TIR = total internal reflection
Plot Your Data
Plot your data in terms of sin
vs. sin
. Label your graph. Determine the slope, which is your average
2
1
refractive index. (Note: n
= 1.00)
air
The answer graphs were plotted in Excel. The equation showing the slope corresponds to the refractive index
of the liquid.
Make That Invisible! Activity—Lab Worksheet
Example Answers
1