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999_Physics ProblemsTechnical Physics

# 999_Physics ProblemsTechnical Physics - 340 P35.66 The...

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340 The Nature of Light and the Laws of Geometric Optics P35.66 Observe in the sketch that the angle of incidence at point P is γ , and using triangle OPQ : sin γ = L R . Also, cos sin γ γ = = 1 2 2 2 R L R . Applying Snell’s law at point P , 1 00 . sin sin γ φ = n . Thus, sin sin φ γ = = n L nR and cos sin φ φ = = 1 2 2 2 2 n R L nR . FIG. P35.66 From triangle OPS , φ α γ + + ° + °− = ° 90 0 90 0 180 . . a f b g or the angle of incidence at point S is α γ φ = . Then, applying Snell’s law at point S gives 1 00 . sin sin sin θ α γ φ = = n n b g or sin sin cos cos sin θ γ φ γ φ = = F H G I K J F H G I K J L N M M O Q P P n n L R n R L nR R L R L nR 2 2 2 2 2 sin θ = F H I K L R n R L R L 2 2 2 2 2 2 and θ = F H I K L N M O Q P sin 1 2 2 2 2 2 2 L R n R L R L . P35.67 As shown in the sketch, the angle of incidence at point A is: θ = F H G I K J =
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