a (20%) Problem 1: An angler sees a large trout underneath the water. It appears that the sh is do = 0.39 m under the water surface at an angle of 6\" = 58 degrees with respect to the normal to the surface of the water. The index of refraction of water is nw = 1.3 and the index of refraction of air is na=l. lijithcc'rpcrttaxom 9 A 25% Part (a) The perpendicular distance from the apparent position of the sh to the normal of the water surface shown in the gure is L. Express L in terms of tan Ga and d0. L = | cos(u) cos(rp) cos(0) ( cos(03) cotanwa) cotan(0w) sin(q)) sin((-)) sin(0a) tan(9a) tan(9w) d0 + L n 11 ~10 Hints: 0% deduction per hint. Hints remaining: 2 a w Submit Hint Feedback: 0% deduction per feedback. Grade Summary Deductions 0% Potential 100% Submissions Attempts remaining: (% per aft/mp!) detailed view a A, 25% Part (b) Solve for the numerical value of L, in meters, i A 25% Part (c) Express the sine of the angle aw, in terms of 0a, nw, and nu. a A, 25% Part (d) Solve for the numerical value of 0w in degrees. (20%) Problem 2: A narrow beam of white light enters a prism made of crown glass at a 45.0 incident angle, as shown to the right. 60 Incident 45 light Red (660 nm) 60 60 Violet (410 nm) A.50% Part (a) At what angle does the red (660 nm) component of light emerge from the prism given that crown glass has an n = 1.512 index of refraction for this wavelength? Give your answer in degrees. Grade Summary OR = Deductions 0% Potential 100% sin() cos() tan() 7 8 9 HOME Submissions Attempts remaining: 50 cotan() asin() acoso) E 5 6 (0% per attempt) atan() acotan() sinh() 2 3 detailed view cosh() tanh() cotanh() + O END O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. 4 50% Part (b) At what angle does the violet (410 nm) component of light emerge from the prism given that crown glass has an n = 1.530 index of refraction for this wavelength? Give your answer in degrees