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, and the second and third layers are of equal thickness d = \(\frac{\sqrt{3}-1}{2}\) cm , and refractive indices μ1 = \(\sqrt{\frac{3}{2}}\) and μ2 = √3 , respectively. A light source O is placed on the top of the first unit, as shown in the figure. A ray of light from O is incident on the second layer of the first unit at an angle of θ = 60° to the normal. For a specific value of n , the ray of light emerges from the bottom of the configuration at a distance l = \(\frac{8}{\sqrt{3}}\) cm, as shown in the figure. The value of n is__________.
