The Image Formed by a Convex Mirror An automobile sideview mirror on the passenger side as shown in the figure shows an image of a truck located 48.3 m from the mirror. The focal length of the mirror is -0.80 m. An approaching truck is seen in a convex mirror on the passenger side of an automobile. Notice that the image of the truck is in focus, but the frame of the mirror is not, which demonstrates that the image is not at the same location as the mirror surface. (a) Find the position of the image of the truck. SOLUTION Conceptualize This situation is depicted in the figure. Categorize Because the mirror is convex, we expect it to form an upright, reduced, virtual image for any object position. Analyze Find the image distance (in m) using 1 1 -+- -: 1 1 1 1 (b) Find the magnification of the image. SOLUTION Analyze Use the following equation: M = - 9 Brian A Jackson/Shutterstock

Principles of Physics: A Calculus-Based Text
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Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
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The Image Formed by a Convex Mirror
An automobile sideview mirror on the passenger side as shown in the figure shows an image of a truck located 48.3 m from the
mirror. The focal length of the mirror is -0.80 m.
An approaching truck is seen in a convex mirror on
the passenger side of an automobile. Notice that the
image of the truck is in focus, but the frame of the
mirror is not, which demonstrates that the image is
not at the same location as the mirror surface.
(a) Find the position of the image of the truck.
SOLUTION
Conceptualize This situation
depicted in the figure.
Categorize Because the mirror is convex, we expect it to form an upright, reduced, virtual
v image for any
object position.
1
Analyze Find the image distance (in m) using
p
1
f
1
1
1
(b) Find the magnification of the image.
SOLUTION
Analyze Use the following equation:
M =
Finalize The negative value of q in part (a) indicates that the image is virtual
magnification in part (b) indicates that the image is much smaller than the truck and is upright because M is positive. The image
is reduced in size, so the truck appears to be farther away than it actually is. Because of the image's small size, these mirrors
carry the inscription, "Objects in this mirror are closer than they appear." Look into your passenger-side rearview mirror or the
back side of a shiny spoon to see an image of this type.
VV, or behind the mirror. The
EXERCISE
An object is placed 22.2 cm from a convex mirror with a focal length of -7,5 cm. The magnified height of the object is 2.79 cm.
Hint
(a) What is the magnification of image?
M =
(b) What is the height of the object (in cm)?
cm
The image is -Select---
Need Help?
Read It
Brian A Jackson/Shutterstock
Transcribed Image Text:The Image Formed by a Convex Mirror An automobile sideview mirror on the passenger side as shown in the figure shows an image of a truck located 48.3 m from the mirror. The focal length of the mirror is -0.80 m. An approaching truck is seen in a convex mirror on the passenger side of an automobile. Notice that the image of the truck is in focus, but the frame of the mirror is not, which demonstrates that the image is not at the same location as the mirror surface. (a) Find the position of the image of the truck. SOLUTION Conceptualize This situation depicted in the figure. Categorize Because the mirror is convex, we expect it to form an upright, reduced, virtual v image for any object position. 1 Analyze Find the image distance (in m) using p 1 f 1 1 1 (b) Find the magnification of the image. SOLUTION Analyze Use the following equation: M = Finalize The negative value of q in part (a) indicates that the image is virtual magnification in part (b) indicates that the image is much smaller than the truck and is upright because M is positive. The image is reduced in size, so the truck appears to be farther away than it actually is. Because of the image's small size, these mirrors carry the inscription, "Objects in this mirror are closer than they appear." Look into your passenger-side rearview mirror or the back side of a shiny spoon to see an image of this type. VV, or behind the mirror. The EXERCISE An object is placed 22.2 cm from a convex mirror with a focal length of -7,5 cm. The magnified height of the object is 2.79 cm. Hint (a) What is the magnification of image? M = (b) What is the height of the object (in cm)? cm The image is -Select--- Need Help? Read It Brian A Jackson/Shutterstock
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