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Lenses and optical instruments

6 MDCAT Physics questions with answers and explanations.

All questions with answers
  1. The total magnification of a compound microscope is:

    • 1 The sum of the magnifications of the two lenses
    • 2 The product of the magnifications of the objective and the eyepiece
    • 3 The difference of the two
    • 4 Equal to that of the objective only
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    Correct answer: The product of the magnifications of the objective and the eyepiece

    The objective forms a magnified image, which the eyepiece magnifies again, so the magnifications multiply.

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  2. An object is 30 cm in front of a convex lens of focal length 15 cm. The image is:

    • 1 Virtual and smaller
    • 2 Real, inverted and the same size
    • 3 Real and magnified
    • 4 Virtual and magnified
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    Correct answer: Real, inverted and the same size

    An object at twice the focal length gives a real, inverted image of the same size at twice the focal length.

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  3. Short-sightedness (myopia) is corrected by using a:

    • 1 Convex lens
    • 2 Concave lens
    • 3 Cylindrical lens only
    • 4 Plane mirror
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    Correct answer: Concave lens

    A concave lens spreads the rays so that the image falls on the retina instead of in front of it.

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  4. What is the power of a lens of focal length -25 cm?

    • 1 +4 D
    • 2 -4 D
    • 3 -0.25 D
    • 4 +0.25 D
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    Correct answer: -4 D

    Power = 1 / f in metres = 1 / (-0.25) = -4 dioptres.

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  5. A coin at the bottom of a pool appears:

    • 1 Deeper than it is
    • 2 Shallower than it is
    • 3 At its true depth
    • 4 Larger and deeper
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    Correct answer: Shallower than it is

    Light bends as it leaves the water, so the coin seems to be raised.

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  6. What is the speed of light in a medium of refractive index 2? (c = 3 x 10^8 m/s)

    • 1 6 x 10^8 m/s
    • 2 1.5 x 10^8 m/s
    • 3 3 x 10^8 m/s
    • 4 1 x 10^8 m/s
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    Correct answer: 1.5 x 10^8 m/s

    v = c / n = 3 x 10^8 / 2 = 1.5 x 10^8 m/s.

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