Lab 5- Group X - Analyst RRD-1
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LAB 5: REFLECTION, REFRACTION & DISPERSION
Group #:
7
Analyst Name:
Calvin Nguyen
SAMPLE CALCULATIONS
Show the following calculations:
REFLECTION
The percent error in the slope from the first graph
PE
=
|
E
−
A
A
|
∗
100%
=
|
0.993
−
1.00
1.00
|
∗
100%
=
0.70%
REFRACTION
Use the information from the second graph’s trendline to show the following calculations
:
Second Graph:
Index of refraction:
n
=
¿
1
m
=
1
0.643
= 1.55
Percent Uncertainty in the index of refraction:
Δn
=
¿
Third Graph:
Index of refraction:
n
=
¿
m = 1.57
Percent Uncertainty in the index of refraction:
Δn
=
¿
The percent difference calculation between the two indices of refraction above
PD
=
¿
|
E
−
A
E
+
A
2
|
∗
100%
=
|
1.57
−
1.55
1.57
+
1.55
2
|
∗
100%
=
1.28%
Lab 5: REFLECTION, REFRACTION & DISPERSION
1 of 4
DISPERSION
Use the information from the red color’s dispersion trendline to show the following
calculations:
The index of refraction
n
=
¿
1.55
The index of refraction percent uncertainty
∆n
=
¿
Use the refraction from the second and third graphs, show the following calculations
:
The average Index of refraction of the lens:
n
=
¿
n
2
+
n
3
2
=
1.55
+
1.57
2
=
1.56
Percent Uncertainty in the average index of refraction:
Δn
=
¿
Theoretical Critical Angle (assuming the average index of refraction):
θ
c
=
¿
(
Nr
¿
)
=
¿
sin
−
1
(
1.00
1.56
)
=
39.8
°
sin
−
1
¿
Show the Percent Error Calculation for the Critical Angle (measured vs theoretical)
PE
=
|
E
−
A
A
|
∗
100%
=
|
42.0
−
39.8
39.8
|
∗
100%
=
5.52%
Lab 5: REFLECTION, REFRACTION & DISPERSION
2 of 4
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