Question

Table B1:Refraction Angles for D-Shaped Lens Incidence Angle (degrees) Refraction Angle (degrees) 0 0.0 10 7.0 20 13.4 30 19.0 40 25.0 50 30.0 60 36.0 70 40.0

Questions:

Plot a graph showing sin θ₁ versus sin θ₂ for your data. Equation 2 will be used to solve for n₂.

1. Use a linear fit to plot the data and find slope of the line to help determine a value for the index of refraction for the acrylic lens (n_₂). Assume that the index of refraction for air (n_₁) is 1. Record your experimental value here:

n_₂=

2. If acrylic glass has a theoretical index of refraction of 1.49, what is the percent error on your experimental value?

%error =

3. What caused error in these measurements and how can they be minimized?

Answer 1

a)

n1 sin$\theta$1 = n2 sin $\theta$ 2

so, we plot a graph with sin $\theta$ 1 on y-axis and sin $\theta$ 2 on the x-axis

so,

Data Set 1 1.0 Х Y 1 0.0000 0.0000 0.8 2 0.1218 0.1736 3 0.2317 0.3420 4 0.3250 0.5000 0.6 5. 0.4226 0.6420 LINEAR Х 6 0.5000 0.7660 0.4 X-range: 0.0000 - 0.6420 y = mx + b 7 0.5877 0.8660 8 0.6420 0.9396 1.486 b: 0.002863 r: 0.9992 RMSE: 0.01457 9 0.2 10 0.00 0.00 0.10 0.20 0.30 0.40 0.50 0.60

slope, m = 1.486

so,

refractive index, n2 = 1.486

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% error = (|1.49 - 1.486| / 1.49 ) * 100

% error = 0.27 %

really accurate data

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To get more accuracy, we can clean the surfaces of any dust or use more polished surface