Fall2023 Reflection and Refraction Lab Online-

Analysis of Reflection and Refraction Lab Table 1 (10 points) Angle of Incidence θ i (degrees) Angle of Reflection θ r (degrees) 15.0 15.0 30.0 30.0 45.0 45.0 60.0 60.0 75.0 75.0 1. What is the relationship between the angle of incidence and the angle of reflection? (5 points) The relationship between the angle of incidence is equal to the angle of reflection. θ i = θ r Table 2 (20 Points) Angle of Incidence θ i (degrees) Angle of Refraction θ r (degrees) Sin of Angle of Incidence, Sin(θ i ) Sin of Angle of Refraction, Sin(θ r ) 15.0 10.6 0.259 0.184 30.0 20.9 0.500 0.357 45.0 30.3 0.707 0.505 60.0 38.2 0.866 0.618 75.0 43.6 0.966 0.690 2. Use Excel (or by hand on graph paper) to graph the sin of the angle of incidence vs the sin of the angle of refraction. Determine the slope. From the graph, determine the Index of Refraction of the material the rhombus is made from. Record value in the space below. Make sure to turn in this graph with your lab Worksheet. Attach the graph in the space below (next page) or at the end of the Worksheet. (15 points) n r = ( n i sinθ sin θ r ) n r = ( 1.00 ) ( sin 45.0 ° ) sin 30.3 ° = 1.40 slope = ( 0.966 − 0.707 ) ( 0.690 − 0.505 ) = 1.40 1

Index of Refraction (n) = 1.400 3. Describe the relationship between the angle of incidence and angle of refraction. (10 points) The angle of incidence and angle of refraction is proportional as angle of incidence increases the angle of refraction also increases and vice versa. 4. Using the Index of Refraction for the Mystery B material you obtained from question 2 calculate the Speed of Light in Mystery B material. Show one Complete Sample Calculation and record the value in Table 3. (5 points) (1.400) (3.00 x 10 8 m/s) = 4.2 x 10 8 m/s 5. Calculate the % error between your calculated Speed of light in Mystery B material and your measured Speed of light in Mystery Material B. Show Complete Sample Calculation and record the value in Table 3. (5 points) %error = | 2.14 x 10 8 − 4.20 x 10 8 2.14 x 10 8 | ∗ 100 = 9.6 ∗ 10 − 1 = 0.9% 6. Using the measured index of refraction, calculate the critical angle ( in degrees ) for the Mystery B material surrounded by air. Show Complete Sample Calculation and record the value in Table 3. (10 points) θ c = sin − 1 ( n 2 n 1 ) θ c = sin − 1 ( 1.00 1.40 ) = 45 ⁰ 7. What is the percent error between the measured and calculated values of the critical angle? Use the calculated as the theoretical value. Show work and record the value in Table 3. (5 points) %error = | 45.6 − 46.0 45.6 | ∗ 100 = 0.8% Table 3 (10 points) 2 Measured Calculated Percent Error Speed of light in Material (v) (m/s) 4.20 x 10 8 m/s 2.14 x 1 0 m/s 0.9% Critical Angle (θ c ) (⁰) 46.0⁰ 45.6⁰ 0.8%