Apparent Depth & Lateral Shift questions with solutions

Showing 1–10 of 123 questions

• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A bird in air descends vertically at 6 cm/s toward water of refractive index 4/3. A stationary fish observes it normally. What apparent speed does the fish measure?

  Options

  • Option A

    8.00 cm/s

  • Option B

    10.67 cm/s

  • Option C

    3.00 cm/s

  • Option D

    10.00 cm/s

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A printed mark is covered by a plane-parallel transparent slab of thickness 15 cm and refractive index 1.333. An observer in air views the mark normally through the slab. What upward apparent shift of the mark is produced?

  Options

  • Option A

    3.75 cm

  • Option B

    2.81 cm

  • Option C

    4.69 cm

  • Option D

    -3.75 cm

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• Multi-correctdifficultGeometrical opticsApparent Depth & Lateral Shift

  A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n₁ and n₂ (> n₁), as shown in the figure. A ray of light is incident with angle $\theta_{i}$ from medium 1 and emerges in medium 2 with refraction angle $\theta_{f}$ with a lateral displacement λ. Which of the following statement(s) is(are) true?

  

  Select all that apply

  • Option A

    λ is independent of n₂

  • Option B

    λ is dependent on n(z)

  • Option C

    n₁ sin $\theta_{i}$= (n₂ - n₁) sin $\theta_{f}$

  • Option D

    $n_1sin\theta_{i}$= n₂ sin $\theta_{f}$

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A mark lies immediately below a transparent liquid layer of thickness 46 cm and refractive index 1.500. It is viewed normally from air. What upward apparent shift is produced?

  Options

  • Option A

    15.33 cm

  • Option B

    30.67 cm

  • Option C

    46.00 cm

  • Option D

    69.00 cm

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A coin is below two plane-parallel liquid layers. The upper layer is 26 cm thick with refractive index 4/3 and the lower layer is 18 cm thick with refractive index 3/2. When viewed normally from air, what is the apparent depth from the upper surface?

  Options

  • Option A

    31.50 cm

  • Option B

    44.00 cm

  • Option C

    12.50 cm

  • Option D

    61.67 cm

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• Multi-correctmediumGeometrical opticsApparent Depth & Lateral Shift

  A concave mirror of focal length 50 cm is placed at origin as shown in diagram. A point sized object is placed at O (x = 152 cm). A glass slab of thickness 4 cm, μ = 2, is placed symmetrically around C. Light can not reach from object to mirror without passing through slab. Choose the CORRECT option(s) :

  

  Select all that apply

  • Option A

    Image made by concave mirror will be at x = 75 cm

  • Option B

    Final image made by entire optical system will be at x = 77 cm.

  • Option C

    Final image of the system will be real.

  • Option D

    Final image of the system will be virtual.

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• Multi-correctmediumGeometrical opticsApparent Depth & Lateral Shift

  For normal viewing from air through a liquid layer of thickness h and refractive index μ>1, which statements are correct?

  Select all that apply

  • Option A

    Apparent depth is h/μ.

  • Option B

    Upward shift is h(1-1/μ).

  • Option C

    Increasing μ decreases apparent depth.

  • Option D

    Layer order changes total normal apparent depth.

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A ray of light is incident at an angle of incidence 60° on the glass slab of refractive index √3. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4√3 cm. The thickness of the glass slab is_________ cm.

  Options

  • Option A

    13

  • Option B

    12

  • Option C

    11

  • Option D

    24

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A coin is below two plane-parallel liquid layers. The upper layer is 44 cm thick with refractive index 4/3 and the lower layer is 15 cm thick with refractive index 3/2. When viewed normally from air, what is the apparent depth from the upper surface?

  Options

  • Option A

    43.00 cm

  • Option B

    59.00 cm

  • Option C

    16.00 cm

  • Option D

    81.17 cm

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A coin is below two plane-parallel liquid layers. The upper layer is 36 cm thick with refractive index 4/3 and the lower layer is 18 cm thick with refractive index 3/2. When viewed normally from air, what is the apparent depth from the upper surface?

  Options

  • Option A

    39.00 cm

  • Option B

    54.00 cm

  • Option C

    15.00 cm

  • Option D

    75.00 cm

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