Numericals and topics based on spherical mirrors
Answers
Explanation:
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 pencil. For each object position, answer the following questions about the image.
Where is the image in relation to the special points on the principal axis? (location)
Is the image magnified or reduced? (size)
Is the image upright or inverted? (orientation)
Is the image real or virtual? (type)
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 pencil. For each object position, answer the following questions about the image.
Where is the image in relation to the special points on the principal axis? (location)
Is the image magnified or reduced? (size)
Is the image upright or inverted? (orientation)
Is the image real or virtual? (type)
numerical
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…
the focal length of the mirror (include the + or − sign in your answer)
the type of image formed (real or virtual)
the image distance of the suspicious customer
the image height of the suspicious customer
the type of mirror (converging or diverging)
A makeup/shaving/shower mirror provides 5X magnification. A person positions their face 15 cm away from the mirror. Determine…
the type of image formed (real or virtual)
the location of the person's face in the mirror
the focal length of the mirror (explicitly state the algebraic sign in your answer)
the radius of curvature of the mirror
the type of mirror (converging or diverging)
The flame of a lit candle is placed 30 cm above the bottom of a 20 cm diameter spherical polished metal bowl. Determine…
the focal length of the bowl
the location of the image of the candle produced by the bowl
the type of image formed
the magnification of the bowl
The bowl is flipped upside down, but the candle flame isn't moved.
How far away from the bowl is the candle flame now?
Determine…
the new focal length of the bowl
the new location of the image of the candle flame produced by the bowl
the type of image formed
the new magnification of the bowl
Answer:
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