(Solution) - a Prove that a ray of light incident on the -(2025 Original AI-Free Solution)

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(a) Prove that a ray of light incident on the surface of a sheet of plate glass of thickness t emerges from the opposite face parallel to its initial direction but displaced sideways, as in Figure
(b) Show that, for small angles of incidence ?, this displacement is given by
x = t? n ? 1/n,
Where n is the index of refraction of the glass and ? is measured inradians.