Physics

Problem

A ray of light travelling in air is incident at grazing incidence on a slab with variable refractive index,

n(y) = [ky^{3/2} + 1]^{1/2}

where

k = 1 \text{ m}^{-3/2}

and follows path as shown in the figure. What is the total deviation produced by slab when the ray comes out. ![Diagram showing a ray of light incident on a slab. The coordinate system has the y-axis vertical and the x-axis horizontal. The ray enters the slab from the left (air) at the origin, traveling along the x-axis. The slab is located to the right, starting at x=0. The ray enters the slab at y=0 and travels along a curved path, exiting the slab at y=1m. The vertical distance from the entry point to the exit point is labeled 1m.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/45a327bbf49f46d3baf7d35279416f87/c397c8d13a885b05543b490ca9317118_img.jpg)

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