The Physics
Hypertextbook
Opus in profectus

Spherical Mirrors

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Problems

practice

  1. Write something.
  2. Write something else.
  3. Write something different.
  4. Write something completely different.

conceptual

  1. ray-diagrams.pdf
    The diagrams on page 1 of the accompanying pdf show a pencil placed at five different locations in front of a converging mirror. Using a ruler (or other straight edge) and the ray tracing methods described in this section, locate and draw the image of the arrow. For each object position, answer the following questions about the image.
    1. Where is the image in relation to the special points on the principal axis? (location)
    2. Is the image magnified or reduced? (size)
    3. Is the image upright or inverted? (orientation)
    4. Is the image real or virtual? (type)
  2. ray-diagrams.pdf
    The diagrams on page 2 of the accompanying pdf show a pencil placed at five different locations in front of a diverging mirror. Using a ruler (or other straight edge) and the ray tracing methods described in this section, locate and draw the image of the arrow. For each object position, answer the following questions about the image.
    1. Where is the image in relation to the special points on the principal axis? (location)
    2. Is the image magnified or reduced? (size)
    3. Is the image upright or inverted? (orientation)
    4. Is the image real or virtual? (type)

numerical

  1. A full dome mirror is a reflective hemisphere used for security purposes. A 30 cm diameter full dome mirror is attached to the ceiling in a retail business. A 1.5 m tall suspicious customer stands 2.0 m away from this mirror. Determine…
    1. the focal length of the mirror (include the + or − sign in your answer)
    2. the type of image formed (real or virtual)
    3. the image distance of the suspicious customer
    4. the image height of the suspicious customer
    5. the type of mirror (converging or diverging)
  2. A makeup/shaving/shower mirror provides 5X magnification. A person positions their face 15 cm away from the mirror. Determine…
    1. the type of image formed (real or virtual)
    2. the location of the person's face in the mirror
    3. the focal length of the mirror (explicitly state the algebraic sign in your answer)
    4. the radius of curvature of the mirror
    5. the type of mirror (converging or diverging)
  3. A lit candle is placed 30 cm above the bottom of a 20 cm diameter spherical polished metal bowl. Determine…
    1. the focal length of the bowl
    2. the location of the image of the candle produced by the bowl
    3. the type of image formed
    4. the magnification of the bowl

    The bowl is flipped upside down, but the candle isn't moved.

    1. How far away from the bowl is the candle now?

    Determine…

    1. the new focal length of the bowl
    2. the new location of the image of the candle produced by the bowl
    3. the type of image formed
    4. the new magnification of the bowl