In the figure, two light rays pass from air through frve layers of transparent plastic and then back into air. The layers have parallel interfaces and unknown thicknesses; their indexes of refraction are n; - 1.8, n2 - 1.5, ng- 1.5, na= 1.4, and ng = 1.7. Ray bis incident at angle 6, = 12°. Relative to a normal at the last interface, at what angle do (a) ray a and (b) ray b emerge? (Hint: Solving the problem algebraically can save time) If the air at the left and right sides in the figure were, instead, glass with index of refraction 1.4, at what angle would (c) ray a and (d) ray b emerge? Air (a) Number Units (b) Number Units (c) Number Units

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In the figure, two light rays pass from air through five layers of transparent plastic and then back into air. The layers have parallel
interfaces and unknown thicknesses; their indexes of refraction are ng - 1.8, n2 = 1,5, ng = 1.5, na 1.4, and ng 1.7. Ray bis incident at
angle 6, = 12°. Relative to a normal at the last interface, at what angle do (a) ray a and (b) ray bemerge? (Hint: Solving the problem
algebraically can save time.) If the air at the left and right sides in the figure were, instead, glass with index of refraction 1.4, at what
angle would (c) ray a and (d) ray b emerge?
Air
(a) Number
Units
(b) Number
Units
(c) Number
Units
(d) Number i
Units
Hint
Transcribed Image Text:In the figure, two light rays pass from air through five layers of transparent plastic and then back into air. The layers have parallel interfaces and unknown thicknesses; their indexes of refraction are ng - 1.8, n2 = 1,5, ng = 1.5, na 1.4, and ng 1.7. Ray bis incident at angle 6, = 12°. Relative to a normal at the last interface, at what angle do (a) ray a and (b) ray bemerge? (Hint: Solving the problem algebraically can save time.) If the air at the left and right sides in the figure were, instead, glass with index of refraction 1.4, at what angle would (c) ray a and (d) ray b emerge? Air (a) Number Units (b) Number Units (c) Number Units (d) Number i Units Hint
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