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Lateral shift through a slab of refractive index root 2 when the angle of incidence equals the critical angle

The same question, asked 2 times: 25 Jan 2023*, 4 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jan 2023

    30
    A ray of light is incident from air on a glass plate having thickness 3 cm\sqrt{3}\text{ }cm and refractive index 2\sqrt{2}. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is ____\_\_\_\_ ×10−2 cm\times10^{- 2}\text{ }cm. (given sin⁡15∘=0.26\sin15^{\circ}= 0.26 )
  2. Question 2

    4 Apr 2024

    116
    A light ray is incident on a glass slab of thickness 43 cm4\sqrt{3}\text{ }cm and refractive index 2\sqrt{2}. The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ______ cmcm. (Given sin⁡15∘=0.25\sin15^{\circ}= 0.25 )