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Lateral shift of a ray through a glass slab

This type of question, asked 4 times: 14 Jun 2022, 25 Jan 2023, 4 Apr 2024, 23 Jan 2025. All 4 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    117
    A ray of light is incident at an angle of incidence 60∘60^{\circ} on the glass slab of refractive index 3\sqrt{3}. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 43 cm4\sqrt{3}\text{ }cm. The thickness of the glass slab is ____\_\_\_\_ cmcm.

  2. Question 2

    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 )

  3. Question 3

    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 )

  4. Question 4

    23 Jan 2025

    13
    What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' hh ' in terms of the angle of incidence ' ii ' and angle of refraction ' rr ', if the glass slab is placed in air medium?

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