Reflection and Refraction
Name:
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Name:
Reflection
qincident qreflect [right] qreflect [left] qreflect [ave] % Difference
20.0 21.0 20.0 20.5 2.5
30.0 31.0 30.0 30.5 1.7
40.0 39.0 40.0 39.5 -1.3
50.0 49.0 51.0 50.0 0.0
Experimental Uncertaintities (Entire Lab Exercise)
Experimental Smallest Percent
Uncertainty
Quantity Measured Value Uncertainty
q 0.25 13.0 1.92
Note: All angles are measured in degrees.
Refraction in Air Dq= 0.25 nair = 1.00 nlense,theo = 1.51
qinc qrefract [right] qrefract [left] qrefract [ave] sin (qinc) Dsin (qinc) sin (qrefract) Dsin (qrefract) nlens Dnlens
20.0 13.0 13.0 13.0 0.342 0.0041034 0.225 0.004253619 1.52 0.0479
26.0 17.0 17.0 17.0 0.438 0.0039259 0.292 0.004175437 1.50 0.0353
32.0 20.0 20.0 20.0 0.530 0.0037053 0.342 0.004103425 1.55 0.0298
38.0 24.0 24.0 24.0 0.616 0.0034442 0.407 0.003989953 1.51 0.0235
46.0 28.0 28.0 28.0 0.719 0.0030379 0.469 0.003857042 1.53 0.0192
nlens, ave = 1.52
% Var (nlens) = 1.24
Total Internal Reflection in Air % Diff = 0.86
qcritical [right] = 40.0 Max % Unc (nlens) = 3.15
qcritical [left] = 40.0 Graph Data: nlens, graph = 1.54
qcritical [ave] = 40.0 (sin(qinc) vs. sin(qrefract)) Slope = 1.54
nlens = 1.56 y-intercept = -0.006
% Diff = 3.03 Note: We assume here that nlens, theo is the most accurate value.
Refraction in Air
0.8
y = 1.5424x - 0.0063
R² = 0.9983
0.7
0.6
0.5
sin(qincident)
0.4
0.3
0.2
0.1
0.0
0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50
sin(qrefracted)
Refraction in Water Dq= 0.25 nwater = 1.333 nlense,theo = 1.51
qinc qrefract [right] qrefract [left] qrefract [ave] sin (qinc) Dsin (qinc) sin (qrefract) Dsin (qrefract) nlens Dnlens
20.0 18.0 18.0 18.0 0.342 0.004 0.309 0.004 1.48 0.038
26.0 23.0 23.0 23.0 0.438 0.004 0.391 0.004 1.50 0.0291
32.0 28.0 28.0 28.0 0.530 0.004 0.469 0.004 1.50 0.0231
38.0 33.0 33.0 33.0 0.616 0.003 0.545 0.004 1.51 0.0187
46.0 40.0 40.0 40.0 0.719 0.003 0.643 0.003 1.49 0.0141
nlens, ave = 1.49
% Var (nlens) = 0.84
Total Internal Reflection in Water % Diff = -1.01
qcritical [right] = 63.0 Max % Unc (nlens) = 2.58
qcritical [left] = 63.0 Graph Data: nlens, graph = 1.51
qcritical [ave] = 63.0 (sin(qinc) vs. sin(qrefract)) Slope = 1.133
nlens = 1.50 y-intercept = -0.005
% Diff = -0.92 Note: We assume here that nlens, theo is the most accurate value.
Refraction in Water
0.8
y = 1.1334x - 0.0052
R² = 0.9995
0.7
0.6
0.5
sin(qincident)
0.4
0.3
0.2
0.1
0.0
0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70
sin(qrefracted)