Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h = 1/3 cm. The second and third layers are of equal thickness d = (√3 - 1)/2 cm and have refractive indices μ₁ = 3/2 and μ₂ = √3, respectively. A light source O is placed on the top of the first unit, as shown. A ray from O is incident on the second layer of the first unit at θ = 60° to the normal. For a specific value of n, the ray emerges from the bottom at a distance l = 8/3 cm, as shown. Find n.
Physics · Geometrical optics · apperant depth and shift due to slab
Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h = 1/3 cm. The second and third layers are of equal thickness d = (√3 - 1)/2 cm and have refractive indices μ₁ = 3/2 and μ₂ = √3, respectively. A light source O is placed on the top of the first unit, as shown. A ray from O is incident on the second layer of the first unit at θ = 60° to the normal. For a specific value of n, the ray emerges from the bottom at a distance l = 8/3 cm, as shown. Find n.
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