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i. Consider a beam of light traveling from a medium with a low index of refraction, n1 , to a new medium with a higher

i. Consider a beam of light traveling from a medium with a low index of refraction, n1 , to a new medium with a higher index of refraction, n2. (a) Will total internal reflection be possible in this situation? (b) If so, describe the conditions necessary for it to occur; if not, explain why not.

ii. (a) Briefly describe how we obtain the index of the refraction of the semicircular prism in Part C. (b) Include a diagram of the setup with relevant quantities and angles labeled. (c) Report the measurements with uncertainties from this experiment, and calculate the index of refraction of the semicircular prism and the uncertainty.

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BB. Using your measurements, calculate the index of refraction of the acrylic that makes up the slab. You can assume the index of refraction of air is 1.00. B9. You may have noticed that the light beam has some width to it. How does the width of the beam affect the precision of you measuring the angles? 810. Compare the final transmitted ray to the dotted line you drew. Once the light ray has exited the slab is it parallel to its original direction of travel? By twisting the dial on the light source, change to multiple parallel white rays, and shine them through the slab. Are the rays that emerge from the slab still parallel? Describe your observations. 811. Fill out the following table by measuring light with an incident angle of 30* and 45". Is the exit angle of the light the same as the incident angle in all cases? Calculate the uncertainty in the index of refraction. Incident angle Refracted angle Exit angle Index of refraction (degrees) (degrees) (degrees) of the slab 30 45 60 C. MEASURING THE CRITICAL ANGLE Do the experiment you have designed in Pre-lab question 4. Discuss with your group members your procedures, and come up with a plan that everyone agrees on. Follow your own instructions about how to setup the measurements. Can you verify you have total internal reflection? Note the critical angle and calculate the refractive index of the semicircle. What is the uncertainty in the index

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