Object Image 100 50 50 cm Focal peint f The image, which can be seen by looking through the lens, is one-third the size of the object and upright.

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A diverging lens with a focal length of 50 cm is placed 100 cm from a flower. Where is the image? What is its
magnification?
PREPARE The flower is in the object plane. We use ray tracing to locate the image. Then we use Equation 18.9 O
to find the magnification.
SOLVE Figure 18.40 O shows the ray-tracing diagram. The three special rays (labeled a, b, and c to match
Tactics Box 18.3 D do not converge. However, they can be traced backward to an intersection = 33 cm to
the left of the lens. Because the rays appear to diverge from the image, this is a virtual image and s'< 0. The
magnification is
-33 cm
m =
= 0.33
100 cm
FIGURE 18.40 Ray-tracing diagram for a diverging lens.
a
Object
Image
100
50
50 cm
Focal point
f
The image, which can be seen by looking through the lens, is one-third the size of the object and upright.
ASSESS The three special rays appear
diverge from a single point, and the image orientation and size in our
ray-tracing diagram match the computed magnification -the image is upright and smaller than the object-so
we have confidence in our results.
Transcribed Image Text:A diverging lens with a focal length of 50 cm is placed 100 cm from a flower. Where is the image? What is its magnification? PREPARE The flower is in the object plane. We use ray tracing to locate the image. Then we use Equation 18.9 O to find the magnification. SOLVE Figure 18.40 O shows the ray-tracing diagram. The three special rays (labeled a, b, and c to match Tactics Box 18.3 D do not converge. However, they can be traced backward to an intersection = 33 cm to the left of the lens. Because the rays appear to diverge from the image, this is a virtual image and s'< 0. The magnification is -33 cm m = = 0.33 100 cm FIGURE 18.40 Ray-tracing diagram for a diverging lens. a Object Image 100 50 50 cm Focal point f The image, which can be seen by looking through the lens, is one-third the size of the object and upright. ASSESS The three special rays appear diverge from a single point, and the image orientation and size in our ray-tracing diagram match the computed magnification -the image is upright and smaller than the object-so we have confidence in our results.
Match the answers with questions based on Example 18.9. (Hint: Be careful with signs.)
v What is the object distance?
A. -50 cm
v What is the image distance?
B. -100 cm
v What is the focal length of the lens?
C. 100 cm
v What is the magnification?
D.0
E. 50 cm
F. -0.33
G.0.33
H.33 cm
I. -33 cm
Transcribed Image Text:Match the answers with questions based on Example 18.9. (Hint: Be careful with signs.) v What is the object distance? A. -50 cm v What is the image distance? B. -100 cm v What is the focal length of the lens? C. 100 cm v What is the magnification? D.0 E. 50 cm F. -0.33 G.0.33 H.33 cm I. -33 cm
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