Lab 5- Group X - Analyst RRD-1

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Irvine Valley College *

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4C

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Physics

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Jan 9, 2024

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docx

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4

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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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