1. A 2.0-cm-tall object is 15 cm in front of a converging lens that has a 20-cm focal length. Draw a ray tracing diagram for this lens. To do this accurately, use a ruler and paper а. with a grid. See tactics box 34.2 for details (page 975 in text). b. Is the image formed from the lens upright or inverted? Explain. Explain the difference between a real image and a virtual image. Is the image formed с. from this lens real or virtual? d. Determine the image distance and the image height by making measurements on your diagram. Explain your methods in a sentence or two. Calculate the image position and height using lens theory. Compare to the results е. obtained from your diagram. Comment on the accuracy of ray tracing for determining the position and height of images formed in lenses.

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TACTICS BOX 34.2 Ray tracing for a converging lens
Mastering Physics
1. Draw an optical axis. Use graph paper or a ruler! Establish an appropriate
scale.
2. Center the lens on the axis. Mark and label the focal points at distance f on
either side.
3. Represent the object with an upright arrow at distance s. It's usually best to
place the base of the arrow on the axis and to draw the arrow about half the
radius of the lens.
4. Draw the three “special rays" from the tip of the arrow. Use a straightedge.
a. A ray parallel to the axis refracts through the far focal point.
b. A ray that enters the lens along a line through the near focal point
emerges parallel to the axis.
c. A ray through the center of the lens does not bend.
5. Extend the rays until they converge. This is the image point. Draw the rest
of the image in the image plane. If the base of the object is on the axis, then
the base of the image will also be on the axis.
6. Measure the image distance s'. Also, if needed, measure the image height
relative to the object height.
Transcribed Image Text:TACTICS BOX 34.2 Ray tracing for a converging lens Mastering Physics 1. Draw an optical axis. Use graph paper or a ruler! Establish an appropriate scale. 2. Center the lens on the axis. Mark and label the focal points at distance f on either side. 3. Represent the object with an upright arrow at distance s. It's usually best to place the base of the arrow on the axis and to draw the arrow about half the radius of the lens. 4. Draw the three “special rays" from the tip of the arrow. Use a straightedge. a. A ray parallel to the axis refracts through the far focal point. b. A ray that enters the lens along a line through the near focal point emerges parallel to the axis. c. A ray through the center of the lens does not bend. 5. Extend the rays until they converge. This is the image point. Draw the rest of the image in the image plane. If the base of the object is on the axis, then the base of the image will also be on the axis. 6. Measure the image distance s'. Also, if needed, measure the image height relative to the object height.
1. A 2.0-cm-tall object is 15 cm in front of a converging lens that has a 20-cm focal length.
Draw a ray tracing diagram for this lens. To do this accurately, use a ruler and paper
а.
with a grid. See tactics box 34.2 for details (page 975 in text).
b.
Is the image formed from the lens upright or inverted? Explain.
Explain the difference between a real image and a virtual image. Is the image formed
С.
from this lens real or virtual?
d.
Determine the image distance and the image height by making measurements on your
diagram. Explain your methods in a sentence or two.
Calculate the image position and height using lens theory. Compare to the results
е.
obtained from your diagram. Comment on the accuracy of ray tracing for determining the position
and height of images formed in lenses.
Transcribed Image Text:1. A 2.0-cm-tall object is 15 cm in front of a converging lens that has a 20-cm focal length. Draw a ray tracing diagram for this lens. To do this accurately, use a ruler and paper а. with a grid. See tactics box 34.2 for details (page 975 in text). b. Is the image formed from the lens upright or inverted? Explain. Explain the difference between a real image and a virtual image. Is the image formed С. from this lens real or virtual? d. Determine the image distance and the image height by making measurements on your diagram. Explain your methods in a sentence or two. Calculate the image position and height using lens theory. Compare to the results е. obtained from your diagram. Comment on the accuracy of ray tracing for determining the position and height of images formed in lenses.
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