I need help with refraction problems

Name PHYSICS I REFRACTION PROBLEMS Solve the following problems using the examples given in your Refraction hand out. Show all steps of all formulas! Berk makes his girlfriend a romantic candlelight dinner and tops it off with a dessert of gelatin filled with blueberries. If a blueberry that appears at an angle of 440 to the normal in air is really located at 30 to the normal in the gelatin, what is the index of refraction of the gelatin? (5 pts) 2. A jeweler must decide whether the stone in Ae Lim's ring is a real diamond or a cubic zirconia. He measures the critical angle of the gem and finds that it is 31.30 Is the stone really a diamond or just a good imitation? (ndiamond = 2.41, nzirconia= 1.92) (5 pts) 3. A blue glow from a bug light strikes the Bradford's swimming pool at an angle of 350. At what angle is the light refracted into the pool? (nwater = 1.33) (5 pts) 4. Liz is snorkeling in Oahu's Hanuma Bay when she looks up through the water at a palm tree on the shore. If the index of refraction of water is 1.33 and Liz sees the palm tree at an angle of 45%, at what angle is the palm tree really located with respect to the normal? (5 pts)5. Evan has taken Eva out to dinner to propose marriage and has hidden the engagement ring in her drink as a surprise. When Eva has finished her drink, she spots the ring beneath an ice cube. If Eval looks down into the glass at an angle of 610, but the ice cube refracts the ring at an angle of 420, what is the index of refraction of ice? ( 5 pts ) 6. 8. In his bedroom, Paul has a fiber optic light that glows as hundreds of fiber optic cables are lit from below. If each fiber optic cable has an index of refraction of 1.48, at what critical angle must light enter the cable in order for total internal reflection to occur? (5 pts) 7. 9. A light ray of wavelength 589 nm ( produced by a sodium lamp) traveling through air strickes a smooth, flat slab of crown glass at an angle of 30 to the normal. Find the angle of refraction. (nair = 1.00, ncrown glass = 1.52) (5 pts)