Geometrical optics questions with solutions

Showing 1–10 of 1023 questions

• MCQmediumGeometrical opticsLenses, Lens Combinations & Silvered Lenses

  A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such that OA = 18 cm, its real inverted image is formed at A itself, as shown in figure. When a liquid of refractive index μ₁ is put between the lens and the mirror. The pin has to be moved to A', such that OA' = 27 cm, to get its inverted real image at A' itself. The value of μ₁ will be :-

  

  Options

  • Option A

    2

  • Option B

    4/3

  • Option C

    3

  • Option D

    3/2

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• MCQmediumGeometrical opticsLaws of Refraction & Total Internal Reflection

  A ray travels from glass (μ=1.5) to air. If the angle of incidence equals the Brewster-independent value 45°, what happens?

  Options

  • Option A

    TIR occurs

  • Option B

    The ray emerges because 45°<C

  • Option C

    The ray grazes the surface

  • Option D

    Insufficient data

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• MCQmediumGeometrical opticsOptical Instruments & Magnifying Power

  Q34. A microscope has an eyepiece focal length 6 cm. Its final image is initially at infinity. Without disturbing the object or objective, the eyepiece is shifted to form a final image at the near point D = 30 cm. Displacement is:

  Options

  • Option A

    0.5 cm towards the objective

  • Option B

    1 cm towards the objective

  • Option C

    1 cm away from the objective

  • Option D

    1.5 cm towards the objective

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A cylindrical bucket of depth 60 cm is partly filled with a liquid of refractive index 1.5 and with oil (on top of the liquid) of refractive index 2. It appears that the volumes of air, liquid and oil are equal to an observer viewing from the top. The apparent depth of the bucket is α cm. Fill (α/5) in the OMR sheet.

  Options

  • Option A

    8

  • Option B

    9

  • Option C

    7

  • Option D

    16

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• MCQmediumGeometrical opticsApparent Depth & Lateral Shift

  A coin is fixed at the bottom of a vessel containing two immiscible transparent layers. The upper layer has thickness 8 cm and refractive index 1.500, while the lower layer has thickness 6 cm and refractive index 1.200. The coin is viewed normally from air. What is its apparent depth measured from the upper surface?

  Options

  • Option A

    10.33 cm

  • Option B

    7.75 cm

  • Option C

    12.92 cm

  • Option D

    -10.33 cm

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• MCQmediumGeometrical opticsLenses, Lens Combinations & Silvered Lenses

  In the figure shown, what is the equivalent focal length of the combination of lenses? (Assume that all lenses are thin.)

  Options

  • Option A

    -100 cm

  • Option B

    -50 cm

  • Option C

    40 cm

  • Option D

    -40 cm

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• MCQdifficultGeometrical opticsRefraction at Spherical Surfaces

  Two identical glass rods S₁ and S₂ (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S₁ on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S₂. The distance d is:

  

  Options

  • Option A

    60 cm

  • Option B

    70 cm

  • Option C

    80 cm

  • Option D

    90 cm

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• MatchmediumGeometrical opticsRefraction at Spherical Surfaces

  Match the spherical-refraction quantities in List I with List II.

  List 1

  1. P. Imaging equation

  2. Q. Second focal length

  3. R. First focal length

  4. S. Magnification

  List 2

  1. 1. 1. μ₂/v-μ₁/u=(μ₂-μ₁)/R

  2. 2. 2. μ₂R/(μ₂-μ₁)

  3. 1. 3. -μ₁R/(μ₂-μ₁)

  4. 1. 4. μ₁v/(μ₂u)

  Options

  • Option A

    P-1, Q-2, R-3, S-4

  • Option B

    P-2, Q-1, R-4, S-3

  • Option C

    P-3, Q-4, R-1, S-2

  • Option D

    P-4, Q-3, R-2, S-1

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• MCQmediumGeometrical opticsLaws of Refraction & Total Internal Reflection

  A transparent block of refractive index 1.25 is surrounded by a medium of refractive index 1.0. A ray is incident on a vertical face as shown in the original figure. The maximum incidence angle θ for which the ray undergoes total internal reflection at the top surface is:

  

  Options

  • Option A

    tan⁻¹(4/3)

  • Option B

    tan⁻¹($\frac{3}{4}$)

  • Option C

    sin⁻¹($\frac{3}{4}$)

  • Option D

    cos⁻¹($\frac{3}{4}$)

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• NumericmediumGeometrical opticsRefraction at Spherical Surfaces

  Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1.5. If the source is located at 100 cm from the convex surface, the image will be formed at____ cm from the object.

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