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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 1–10 of 29 questions
- MCQmediumGeometrical optics
A point object is placed 33 cm from a convex mirror of curvature radius = 40 cm. A glass plate of thickness 6 cm and index 2.0 is placed between the object and mirror, close to the mirror. Find the distance (in cm) of final image from the object?
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JEE Mains
Open question & full solution → - MCQmediumGeometrical optics
An opaque cylindrical tank with an open top has a diameter of 3.00 m and is completely filled with water. When the setting sun reaches an angle of 37° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is tank in meter?
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JEE MainsJEE Advanced
Open question & full solution → - MCQdifficultGeometrical optics
Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height h = 1/3 cm. The second and third layers are of equal thickness d = (√3 - 1)/2 cm and have refractive indices μ₁ = 3/2 and μ₂ = √3, respectively. A light source O is placed on the top of the first unit, as shown. A ray from O is incident on the second layer of the first unit at θ = 60° to the normal. For a specific value of n, the ray emerges from the bottom at a distance l = 8/3 cm, as shown. Find n.
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JEE Advanced 2022
Open question & full solution → - 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
Open question & full solution → - MCQmediumGeometrical optics
A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 5/3 is poured inside the bucket, the microscope has to be raised by 30 cm to focus the object again. The height of the liquid in the bucket is:
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JEE Mains31 January 2023Shift 2Evening Shift
Open question & full solution → - MCQdifficultGeometrical optics
What is the length of the image of the rod in mirror, according to the observer in air? (Refractive index of the liquid is μ)
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JEE Advanced
Open question & full solution → - 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
Open question & full solution → - 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:
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JEE Mains 2024 06 Apr Evening Shift
Open question & full solution → - 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
Open question & full solution → - Multi-correctdifficultGeometrical optics
A monochromatic light wave is incident normally on a glass slab of thickness d, as shown in the figure. The refractive index of the slab increases linearly from n₁ to n₂ over the height h. Which of the following statement(s) is (are) true about the light wave emerging out of the slab ?
Select all that apply
JEE Advanced
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