33_Ch 22 College Physics ProblemCH22 Reflection and Refraction of Light

# 33_Ch 22 College Physics ProblemCH22 Reflection and Refraction of Light

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Reflection and Refraction of Light 265 (b) Observe from the figure above that sin L d φ = . Thus, the distance the light travels inside the plastic is sin d L φ = , and if 50.0 cm 0.500 m L = = , the time required is ( ) ( ) 8 1.20 0.500 m 0 10 m s sin36.1 × ° 9 sin 3.40 10 s 3.40 ns sin 3.0 L d nL t v c n c φ φ ∆ = = = = = × = 22.62 (a) At the upper surface of the glass, the critical angle is given by 1 sin air c glass n n n θ = = Consider the critical ray PBB : 4 tan 4 c d d t t θ = = But, also, 2 2 2 2 2 2 2 1 sin in 1 tan cos sin 1 1 1 c c c c c n n n θ θ θ θ θ = = 2 s 1 = = Thus, 2 2 1 4 1 d t n = or 2 2 4 1 t n d = giving 2 4 1 t n d = + (b) Using the result from Part (a) and solving for d gives 2 4 1 t d n = Thus, if
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