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apperant depth and shift due to slab questions with solutions

Practice Geometrical optics for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–8 of 8 questions

  • IntegermediumGeometrical optics

    A plane mirror is fixed 50 cm above the bottom of a tank. Water depth is 8 cm and refractive index is 4/3. A small bulb is at the bottom. Find the distance of the final mirror image from the bottom in cm.

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    JEE Mains11 April 2023Shift 2Evening Shift

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  • IntegermediumGeometrical optics

    A fish rises vertically upward at 8 m s⁻¹ and observes a bird apparently diving vertically toward it at 12 m s⁻¹. The refractive index of water is 4/3. Find the actual downward speed of the bird in m s⁻¹.

    JEE Mains13 April 2023Shift 1Morning Shift

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  • NumericmediumGeometrical optics

    A ray of light is incident from air on a glass plate having thickness √3 cm and refractive index √2. The angle of incidence is equal to the critical angle for the glass-air interface. The lateral displacement of the ray when it passes through the plate is ___ × 10⁻² cm. (Given sin15° = 0.26)

    JEE Mains25 January 2023Morning Shift

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  • MCQmediumGeometrical optics

    A vessel of total depth d is half-filled with oil of refractive index n₁ and half-filled with water of refractive index n₂. Viewed normally from above, its apparent depth is:

    Options

    JEE Mains13 April 2023Shift 1Morning Shift

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  • MCQmediumGeometrical optics

    In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division = 49 MSD; 20 divisions on main scale in each cm

    For mark on paper MSR = 8.45 cm, VC = 26

    For mark on paper seen through slab MSR = 7.12 cm, VC = 41

    For powder particle on the top surface of the glass slab MSR = 4.05 cm, VC = 1

    (MSR = Main Scale Reading, VC = Vernier Coincidence)

    Refractive index of the glass slab is:

    Options

    JEE Mains 2024 06 Apr Evening Shift

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  • NumericmediumGeometrical optics

    Two immiscible liquids of refractive indices 8/5 and 3/2 respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is α/4 cm. The value of α is______.

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    JEE Mains 2024

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  • NumericmediumGeometrical optics

    A light ray is incident on a glass slab of thickness 4√3 cm and refractive index √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 ______ cm. (Given sin15° = 0.25)

    JEE Mains 2024 04 Apr Evening Shift

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  • IntegermediumGeometrical optics

    A container has a liquid of refractive index 1.2 up to height 60 cm. A second immiscible liquid of refractive index 1.6 is added above it to height H. When viewed normally from above, the apparent upward shift of the bottom is 40 cm. Find H in cm.

    JEE Mains 2025 7 April Morning Shift

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