Instructions This lab uses the Bending Light simulation from Eng; Interactive Simulations at University of Colorado Boulder. After launching the simulation, click on the "Intro\" simulation. In this lab you will be making a spreadsheet in Microsoft Excel. Make sure to save this le and submit it with your report. Activity A Measuring Angles of Refraction (20 points) 1. Set the upper material as water and the lower material as \"Mystery A". 2. Place the protractor at the interface of the medium so that 90 is at the surface. Ray Wave Material Water 30 Index of Refraction (n) [ 1.33 60 Air Water Glass Material Mystery A 30 What is n? Normal 3. Turn on the light by clicking the red button and use the protractor to measure the angle of refraction for the following incident angles. Also compute the sine of each of these angles. Incident Angle Refracted Angle Sin (01) Sin(02) 01 02 10 200 300 40 50 60 700 80 4. Paste a screenshot of two of these measurements being taken.5. Our goal is to use all this data simultaneously to calculate the index of refraction. We could calculate the index of refraction 8 different times with each row of data. but it is often preferable to use all the data simultaneously to arrive at a value. 6. Use Microsoft Excel to make a graph of Sin(81) on the yaxis and Sin(82) on the x-axis. Then determine the equation of the best-t line through the data. Paste a screenshot of your graph with the equation displayed. 7. Use the Law of Refraction [n1 SinEh = n2 SinBz] along with the equation of a straight line [y = M to explain why the graph you just made creates a straight line. What should the slope and y-intercept of the line be in terms of the index of refraction of each material. Note, this is a question about the theory. You should not be using any data to answer this question. 8. Based on the actual slope you measured from your graph and the expression you determined in (7), calculate the index of refraction of the unknown material. Activity B - Total Internal Reflection (20 points) 9. Now reverse the materials and set the upper material as "Mystery A" and the lower material as water. Ray O Wave Material Mystery A 30 What is n? LO Material Water Index of Refraction (n) 1.33 30 30 Water Glass Normal 10. Turn on the light and adjust the incident angle (starting at 0) until the refracted light just barely disappears. The minimum incident angle where this happens is called the critical angle. Fill in the table with the critical angle that you measured.Critical Angle an. 1']. Paste a screen shot showing this measurement being taken. 12. Use the Law of Refraction to explain the mathematical reason for why the critical angle occurs. Also, derive the formula for what the critical angle should equal in terms of the parameters in the Law of Refraction. Note, this is a question about the theory. You should not be using any data to answer this question. 13. Use the equation you derived in (12) to calculate the index of refraction of the unknown material. NOL PHY 202 14. Calculate the percent difference between your measurement of the index of refraction of the unknown material in Activity A and Activity B