(Solution) - In Fig 33 51 light is incident at angle 1 40 1 -(2025 Original AI-Free Solution)

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In Fig. 33-51, light is incident at angle ?1 40.1 on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.30, n2 = 1.40, n3 = 1.32, and n4 = 1.45, what is the value of?
(a) ? 5 in the air
(b) ? 4 in the bottom material.