Save @ Off H Experiment 10 - Geometric Optics -i.. Search ome Insert Draw Page Layout Formulas Data Review View Automate Help Chart Design Format Calibri (Body) 10 A A General Conditional Formatti B % Format as Table Cell Styles Font Alignment Number Styles vi XVfx D G M N 0 P 900 Uncertainty Angle of Uncertainty Angle of Angle of Uncertainty Average Uncertainty Angle of Angle of Angle of Average Incidence Angle of Reflection Reflection Reflection Reflection |Reflection Angle of Incidence 1801 Reflection 60 0 40.0 0.0 0.5 10.0 0.5 0.0 05 0.0 0.5 10.0 0.5 9.5 0.5 10.5 0.5 10.0 0.5 300 20.0 0.5 19.5 0.5 20.5 0.5 20.0 0.5 200 30.0 0.5 29:5 D.5 31.0 0.5 30.3 0.5 Average At 109 40.0 0.5 39.5 0.5 41.0 0.5 40.3 05 50.0 0.5 49.0 0.5 510 0.5 50.0 0.5 60.0 0.5 59.0 05 60.5 0.5 59.8 0.5 190 90 180 200 300 140 590 490 708 868 900 indicident Angle , I'll 70.0 0.5 69.0 0.5 70.5 0.5 69.8 0.5 80.0 0.5 79.5 0.5 80-5 0.5 80.0 0.5 Table 1. Law of Reflection, Figure 1. Plot of Average Angle of Reflection vs. Angle of Incidence. Uncertainty Uncertainty Average Uncertainty Snot Uncertainty Angle of Angle of Uncertainty Angle of Angle of Uncertainty Average Sin of Sin of Sin of Incidence Angle of Incidence Refraction Refraction Refraction Angle of Angle of Incident Average 9:600 heraction Refraction Angle of Incident Angle of Average Refraction Angle Angle Refraction Angle of 0500 Retraction Sheet1 MX Accessibility: Investigate Q Search estly sunny FO F10ve O off) HY Experiment 10 - Geometric Optics -. Search hamza ahme me Insert Draw Page Layout Formulas Data Review View Automate Help Chart Design Format Conditional Formatting ~ 2 Insert 2. Calibri (Body) - 10 ~ A A General Format as Table Dk Delete B Cell Styles It Format * Font Alignment Number Styles Cells viXYfx H M N W Table 1. Law of Reflection. Tigure 1. Plot of Average Angle of Reflection vs, Angle of incidence. Uncertainty Uncertainty O O Uncertainty Angle of Uncertainty uncertainty Average Uncertainty sinof Angle of Angle of Retraction Angle of Angled Sin of Incidence Incident Average Incidence Hefraction Refraction Heraction Refraction Angle al Incident B.4 befraction Angle of Ange Hfraction Retraction D.D 03 0.0 0.5 0.5 0.003 1.603 0,060 05 65 0:009 011 10.0 2010 05 135 13 5 05 12.5 0342 0.608 0.5 205 0.5 20.0 250 0.5 25.3 0.007 0.5 0:005 0.511 50.0 0.5 30.5 0.5 31.0 30.8 0 765 D.300 40.0 05 34.5 0.5 35.5 85.0 0 865 0.007 0.5 375 39.0 0.5 0940 10.093 0629 0.007 70.0 0.5 O O 60.0 410 415 05 413 BREFI 0.002 0.659 Figure 2. Plot of Sin of Average Retracted Angle vs. Sin of Incident Angle Table 2. Law of Refraction. Front Front Back Back Critica critical Crickcal Sheet1 Accessibility: Investigate Q Search ostly sunny 12 V P WV X V fx B C D E F G H 30.0 0.5 20.5 0.5 19.5 0.5 20.0 40.0 0.5 25.0 0.5 25.5 0.5 25.3 50.0 0.5 30.5 0.5 31.0 0.5 30.8 60.0 0.5 34.5 0.5 35.5 0.5 35.0 70.0 0.5 38.5 0.5 39.5 0.5 39.0 80.0 0.5 41.0 0.5 41.5 0.5 41.3 Table 2. Law of Refraction. Front Front Back Back Uncertainty Average Critical Critical Critical Critical Critical Average Angle 1 Angle 2 Angle 1 Angle 2 Critical Angle Oct2 Angle (9) (9) (9) 60CAVE ( " ) 42.5 41.0 43.5 41.5 42.1 0.5 Sheet1 + Accessibility. Investigate 83.F Mostly sunny Q SearchExperiment 10: Geometric Optics Name: Partner (s): Data Analysis and Conclusions All questions should be answered in complete sentences and in a manner such that the reader does not need to read the question to understand the answer. Answers should be supported with specific data or observations from the experiment when applicable. If there a calculation is required, units should be included on any numerical values that contain them. Failure to follow these instructions on any question can result in up to a 50% deduction in that question. 1. (20) Excel spreadsheet a. (10) Adjust resolution of recorded measurements to match your experimentally measured resolution. The expressions for sin of an angle or the uncertainty in sin of an angle should go 3 past the decimal. b. (5) Adjust the variables in your trendline equations to represent the variables on the appropriate axes. You should be able to copy and paste the symbols from the axis labels on the graphs. Ask your instructor for help if you are having trouble. c. (5) Adjust your trendline slopes to 3 significant figures. Adjust the y-intercept to match the resolution of the y-variable. d. Email the completed spreadsheet to your instructor with the subject 'Experiment 8 Data'.2. (10) Make a conclusion about the law of reflection based on the data in Table 1 in your Excel spreadsheet. Slope = Oozavg Oz = Q, ( law of reflection) 3. (10) The slope of the line in Figure 1 in your Excel spreadsheet should be equal to 1.00. Explain. 4. (10) Make a conclusion about the law of reflection based on the data in Figure 1 in your Excel spreadsheet.5. (10) Make a conclusion about the law of refraction based on your data in Figure 2. 6. (10) What does the slope of Figure 2 in your Excel spreadsheet represent? Determine the refractive index of acrylic using the slope of Figure 2. Hint: n1 = nair = 1.00 since the light ray traveled from air to acrylic. D sin ( Oz any ) nairzl on acylic Slope = = 0. 667 n. sing, = n2 sin 0 2 . Sin( D) sin oz no = slope if nair = 0. 667 sinD nacrylic - racylic - nacrylic - = 1.50 - 667 7. (10) Determine the refractive index of acrylic using your average critical angle from Table 3 of your Excel spreadsheet and equation 4b from the introduction. n 2 air Sinoc = ni nacrylce acrylic 2 ) macylic sin ( 42. 7 )8. (10) Calculate the percent difference between your two experimental values for the refractive index of acrylic from questions 6 and 7. Make a conclusion about the law of consith refraction based on this percent difference. % difference = In6 - n71 x 100% 2 ( n6 + 17 ) 9. (10) The uncertainty in your refractive index of acrylic from question 7 is given by the formula below. Calculate the uncertainty in the refractive index using the formula below. Make a conclusion about the law of reflection based on whether the refractive index of acrylic you determined in question 4 falls within the uncertainty range. on7 = n7 cos ec,avg 80 c,avg sin2 0 c,avg So paurt agreement with n6