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Chapter 32: Optical Images
Section 32-1: Mirrors, and Concept
Checks 32-1 to 32-3
An observer sees multiple images of Ben reflected
in two plane mirrors. All of these images are
A. equidistant from the
intersection of the two mirrors.
B. equidistant from the object,
Ben.
C. equidistant from the observer.
D. between Ben and the observer.
E. to the right of Mirror 2 and
above Mirror 1.
An observer sees multiple images of Ben reflected
in two plane mirrors. All of these images are
A. equidistant from the
intersection of the two
mirrors.
B. equidistant from the object, Ben.
C. equidistant from the observer.
D. between Ben and the observer.
E. to the right of Mirror 2 and above
Mirror 1.
Which images of himself can Ben see?
A. P1’, P2’ and P12”
B. P1’ and P2’ only
C. P1’ and P12” only
D. P1’ only
E. P2’ only
Which images of himself can Ben see?
A. P1’, P2’ and P12”
B. P1’ and P2’ only
C. P1’ and P12” only
D. P1’ only
E. P2’ only
What is the radius of curvature of a plane
mirror?
A. zero
B. infinity
C. it is equal to the length of the mirror
What is the radius of curvature of a plane
mirror?
A. zero
B. infinity
C. it is equal to the length of the mirror
What is the minimum height of a plane
mirror in which a standing woman can see
her entire body reflected?
A. It must equal her height.
B. It must be one-half her height.
C. It depends on how far from the mirror
the woman stands.
What is the minimum height of a plane
mirror in which a standing woman can see
her entire body reflected?
A. It must equal her height.
B. It must be one-half her height.
C. It depends on how far from the mirror
the woman stands.
When you look at the image reflected from
two plane mirrors placed at 90, the image
A. is real.
B. is inverted.
C. does not change handedness.
D. is compressed in the vertical direction.
E. None of the above statements is true.
When you look at the image reflected from
two plane mirrors placed at 90, the image
A. is real.
B. is inverted.
C. does not change handedness.
D. is compressed in the vertical direction.
E. None of the above statements is true.
The technical name for the type of image
formed by a single plane mirror is
A. a real image.
B. an inverted image.
C. an enlarged image.
D. a focal image.
E. a virtual image.
The technical name for the type of image
formed by a single plane mirror is
A. a real image.
B. an inverted image.
C. an enlarged image.
D. a focal image.
E. a virtual image.
An object is placed between two mirrors set
at an angle to each other. The location of the
image of the object in mirror 1 is shown in the
figure. Which label shows the location of the
image of that image in mirror 2?
An object is placed between two mirrors set
at an angle to each other. The location of the
image of the object in mirror 1 is shown in the
figure. Which label shows the location of the
image of that image in mirror 2?
Two plane mirrors make an angle of 120° as
shown. An object is placed at O. When the
eye is placed at E, it will observe images
formed at
A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
E. 1 and 3
Two plane mirrors make an angle of 120° as
shown. An object is placed at O. When the
eye is placed at E, it will observe images
formed at
A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
E. 1 and 3
A point object P is placed before two mirrors
at right angles as shown. Images of the
object are formed only at positions
A. 1, 2, and 3
B. 2, 3, and 4
C. 3, 4, and 5
D. 2 and 4
E. 1, 3, and 5
A point object P is placed before two mirrors
at right angles as shown. Images of the
object are formed only at positions
A. 1, 2, and 3
B. 2, 3, and 4
C. 3, 4, and 5
D. 2 and 4
E. 1, 3, and 5
When an object is closer to a convex mirror
than the mirror's focal length, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image is real.
D. image is inverted.
E. All of these are correct.
When an object is closer to a convex mirror
than the mirror's focal length, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image is real.
D. image is inverted.
E. All of these are correct.
When an object is closer to a concave mirror
than the mirror's focal point, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image distance is negative.
D. image is inverted.
E. All of these are correct.
When an object is closer to a concave mirror
than the mirror's focal point, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image distance is negative.
D. image is inverted.
E. All of these are correct.
When an object is farther from a convex
mirror than the mirror's focal length, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image is real.
D. image is inverted.
E. All of these are correct.
When an object is farther from a convex
mirror than the mirror's focal length, the
A. magnification is less than one.
B. image distance is greater than the
object distance.
C. image is real.
D. image is inverted.
E. All of these are correct.
When an object is farther from a concave
mirror than twice the mirror's focal length,
the
A. magnification is less than one.
B. image is inverted.
C. image distance is less than the
object distance.
D. image is real.
E. All of these are correct.
When an object is farther from a concave
mirror than twice the mirror's focal length,
the
A. magnification is less than one.
B. image is inverted.
C. image distance is less than the
object distance.
D. image is real.
E. All of these are correct.
The parallel rays incident on the surface of
the concave spherical mirror in the figure
converge to which point?
The parallel rays incident on the surface of
the concave spherical mirror in the figure
converge to which point?
The image of an object located 10 cm from a
concave spherical mirror of radius 10 cm is
A. real, inverted, and magnified.
B. real, inverted, and diminished.
C. real, inverted, and the same size.
D. virtual, erect, and magnified.
E. virtual, erect, and diminished.
The image of an object located 10 cm from a
concave spherical mirror of radius 10 cm is
A. real, inverted, and magnified.
B. real, inverted, and diminished.
C. real, inverted, and the same size.
D. virtual, erect, and magnified.
E. virtual, erect, and diminished.
The image of an object,
placed in front of a
spherical convex mirror
as shown, forms
between
A. O and V and is magnified.
B. V and F and is magnified.
C. V and F and is diminished.
D. F and C and is diminished.
E. F and C and is magnified.
The image of an object,
placed in front of a
spherical convex mirror
as shown, forms
between
A. O and V and is magnified.
B. V and F and is magnified.
C. V and F and is diminished.
D. F and C and is diminished.
E. F and C and is magnified.
Two parallel rays are incident on a concave
spherical mirror whose center of curvature is
at C. After being reflected, the two rays
cross at which point?
Two parallel rays are incident on a concave
spherical mirror whose center of curvature is
at C. After being reflected, the two rays
cross at which point?
An object is located 3 cm from the surface of
a silvered spherical glass Christmas tree
ornament that is 3 cm in diameter. The
image forms at which labeled point?
An object is located 3 cm from the surface of
a silvered spherical glass Christmas tree
ornament that is 3 cm in diameter. The
image forms at which labeled point?
An object is placed between 2f and infinity in
front of a concave mirror of focal length f.
The image is located
A. behind the mirror, between 2f and the mirror.
B. behind the mirror, between 2f and infinity.
C. in front of the mirror, between the mirror and f.
D. in front of the mirror, between f and the center
of curvature.
E. in front of the mirror, between the center of
curvature and infinity.
An object is placed between 2f and infinity in
front of a concave mirror of focal length f.
The image is located
A. behind the mirror, between 2f and the mirror.
B. behind the mirror, between 2f and infinity.
C. in front of the mirror, between the mirror and f.
D. in front of the mirror, between f and the
center of curvature.
E. in front of the mirror, between the center of
curvature and infinity.
Dentists often use concave mirrors to see
better. In order for the mirror to produce an
enlarged image of a tooth, the tooth must be
placed
A. at the focal point of the mirror.
B. further than the focal point of the
mirror.
C. closer than the focal point of the
mirror.
Dentists often use concave mirrors to see
better. In order for the mirror to produce an
enlarged image of a tooth, the tooth must be
placed
A. at the focal point of the mirror.
B. further than the focal point of the
mirror.
C. closer than the focal point of the
mirror.
A real object in front of a concave spherical
mirror can produce an image that is
A. virtual, inverted, and magnified.
B. real, erect, and magnified.
C. diminished, erect, and virtual.
D. magnified, erect, and virtual.
E. diminished, real, and erect.
A real object in front of a concave spherical
mirror can produce an image that is
A. virtual, inverted, and magnified.
B. real, erect, and magnified.
C. diminished, erect, and virtual.
D. magnified, erect, and virtual.
E. diminished, real, and erect.
Chapter 32: Optical Images
Section 32-2: Lenses, and Concept
Check 32-4
During the summer months, Goldie the fish spends
much of her time in a small pond in her owner’s
backyard. While enjoying a rest at the bottom of
the pond, Goldie is being watched by Fluffy the
cat, who is perched on a tree limb above the
surface of the pond. How far below the surface is
the image of the fish that Fluffy sees?
A. Above Goldie’s actual position
B. At Goldie’s actual position
C. Below Goldie’s actual position
During the summer months, Goldie the fish spends
much of her time in a small pond in her owner’s
backyard. While enjoying a rest at the bottom of
the pond, Goldie is being watched by Fluffy the
cat, who is perched on a tree limb above the
surface of the pond. How far below the surface is
the image of the fish that Fluffy sees?
A. Above Goldie’s actual position
B. At Goldie’s actual position
C. Below Goldie’s actual position
When you stand in water up to your knees,
your feet appear
A. closer than usual.
B. farther away than usual.
C. at the same location as usual.
When you stand in water up to your knees,
your feet appear
A. closer than usual.
B. farther away than usual.
C. at the same location as usual.
Your eye looks into a thick glass slab at an
air bubble located at point C. The bubble
appears to be at which point?
Your eye looks into a thick glass slab at an
air bubble located at point C. The bubble
appears to be at which point?
Half-round slabs of glass or plastic are often
used to trace rays. Pins are placed at points
P and Q. For an observer to see the images
of the pins in line, she should place her eye
at which point?
Half-round slabs of glass or plastic are often
used to trace rays. Pins are placed at points
P and Q. For an observer to see the images
of the pins in line, she should place her eye
at which point?
When a real object is placed just inside the
focal point F of a diverging lens, the image is
A. virtual, erect, and diminished.
B. real, inverted, and enlarged.
C. real, inverted, and diminished.
D. virtual, erect, and enlarged.
E. virtual, inverted, and diminished.
When a real object is placed just inside the
focal point F of a diverging lens, the image is
A. virtual, erect, and diminished.
B. real, inverted, and enlarged.
C. real, inverted, and diminished.
D. virtual, erect, and enlarged.
E. virtual, inverted, and diminished.
A positive lens has a focal length f. The only
way to get a magnification of –1 is to
A. place a real object at the focal point.
B. place a real object at a distance 2f
from the lens.
C. place a real object at a distance 3f
from the lens.
D. Magnifications from a positive lens
can never be negative.
E. None of these is correct.
A positive lens has a focal length f. The only
way to get a magnification of –1 is to
A. place a real object at the focal point.
B. place a real object at a distance 2f
from the lens.
C. place a real object at a distance 3f
from the lens.
D. Magnifications from a positive lens
can never be negative.
E. None of these is correct.
A positive lens has a focal length f. The
image is the same size as the object when
A. the object is at the focal point.
B. the image is on the opposite side of the
lens from the object and is the same
distance from the lens as the object.
C. the image is on the same side of the
lens as the object and is the same
distance from the lens as the object.
D. The image can never be the same size
as the object.
E. None of these is correct.
A positive lens has a focal length f. The
image is the same size as the object when
A. the object is at the focal point.
B. the image is on the opposite side of the
lens from the object and is the same
distance from the lens as the object.
C. the image is on the same side of the lens
as the object and is the same distance
from the lens as the object.
D. The image can never be the same size as
the object.
E. None of these is correct.
An object is placed in front of a
plano-concave lens at r1/2. The
image produced by the lens is
r1
A. inverted, real and reduced in size.
B. inverted, virtual and enlarged in
size.
C. upright, virtual and reduced in size.
D. upright, virtual and enlarged in size.
E. upright, real and enlarged in size.
An object is placed in front of a
plano-concave lens at r1/2. The
image produced by the lens is
r1
A. inverted, real and reduced in size.
B. inverted, virtual and enlarged in size.
C. upright, virtual and reduced in size.
D. upright, virtual and enlarged in size.
E. upright, real and enlarged in size.
Which of the following statements is false?
A. The image produced by a diverging lens
is always virtual, upright and reduced in
size.
B. The image produced by a converging
lens can be virtual, upright and magnified
in size.
C. The image produced by a converging
lens cannot be virtual, upright and
reduced in size.
D. The image produced by a converging
lens cannot be real, inverted and reduced
in size.
Which of the following statements is false?
A. The image produced by a diverging lens
is always virtual, upright and reduced in
size.
B. The image produced by a converging
lens can be virtual, upright and magnified
in size.
C. The image produced by a converging
lens cannot be virtual, upright and
reduced in size.
D. The image produced by a converging
lens cannot be real, inverted and
reduced in size.
To project an image onto a screen using a lens,
A. the lens must be diverging and the object must
be farther from the lens than the second focal
point.
B. the lens must be converging and the object must
be between the first focal point and the lens.
C. the lens must be diverging and the image must
be farther from the lens than the second focal
point.
D. the lens must be converging and the object must
be farther from the lens than the first focal point.
E. the lens must be diverging and the object must
be between the first focal point and the lens.
To project an image onto a screen using a lens,
A. the lens must be diverging and the object must be
farther from the lens than the second focal point.
B. the lens must be converging and the object must
be between the first focal point and the lens.
C. the lens must be diverging and the image must be
farther from the lens than the second focal point.
D. the lens must be converging and the object
must be farther from the lens than the first
focal point.
E. the lens must be diverging and the object must be
between the first focal point and the lens.
A real image is formed
by a converging lens.
If a weak diverging
lens is placed between
the converging lens
and the image, where
is the new image
located?
A. farther from the converging lens than the original
image
B. closer to the converging lens than the original
image
C. at the original image position
A real image is formed
by a converging lens.
If a weak diverging
lens is placed between
the converging lens
and the image, where
is the new image
located?
A. farther from the converging lens than the
original image
B. closer to the converging lens than the original
image
C. at the original image position
The index of refraction of the lenses with
respect to the medium is n. Which diagram
correctly represents a wave front passing
through a lens?
The index of refraction of the lenses with
respect to the medium is n. Which diagram
correctly represents a wave front passing
through a lens?
A converging lens and a screen are so
arranged that an image of the sun falls on
the screen. The distance from the lens to
the screen is
A. the focal length.
B. the object distance.
C. the magnifying power.
D. one-half the radius of curvature of
one of the lens faces.
E. the average radius of curvature of
the two lens faces.
A converging lens and a screen are so
arranged that an image of the sun falls on
the screen. The distance from the lens to
the screen is
A. the focal length.
B. the object distance.
C. the magnifying power.
D. one-half the radius of curvature of
one of the lens faces.
E. the average radius of curvature of
the two lens faces.
The optical path for visible light in a lens is
A. the same as the geometrical path.
B. the same no matter what portion of
the lens it passes through.
C. the same as the optical path for
ultraviolet.
D. independent of the material of which
the lens is constructed.
E. is increased when the index of
refraction is increased.
The optical path for visible light in a lens is
A. the same as the geometrical path.
B. the same no matter what portion of
the lens it passes through.
C. the same as the optical path for
ultraviolet.
D. independent of the material of which
the lens is constructed.
E. is increased when the index of
refraction is increased.
A concave (diverging) lens can produce an
image that is
A. virtual, inverted, and magnified.
B. real, erect, and magnified.
C. diminished, erect, and virtual.
D. magnified, erect, and virtual.
E. diminished, real, and erect.
A concave (diverging) lens can produce an
image that is
A. virtual, inverted, and magnified.
B. real, erect, and magnified.
C. diminished, erect, and virtual.
D. magnified, erect, and virtual.
E. diminished, real, and erect.
The image of the object formed by the
diverging lens is located at which point? (F
marks the two focal points.)
The image of the object formed by the
diverging lens is located at which point? (F
marks the two focal points.)
The image produced by the converging lens
is at which point? (F marks the two focal
points.)
The image produced by the converging lens
is at which point? (F marks the two focal
points.)
The image of the encircled point on the
object formed in the positive lens is at which
circle? (F marks the two focal points.)
The image of the encircled point on the
object formed in the positive lens is at which
circle? (F marks the two focal points.)
When the ray in the diagram is continued
through the diverging lens, it passes through
which point? (F marks the two focal points.)
When the ray in the diagram is continued
through the diverging lens, it passes through
which point? (F marks the two focal points.)
A ray of light leaves point O and passes
through a thin positive lens. It crosses the
principal axis at which point? (F marks the
two focal points.)
A ray of light leaves point O and passes
through a thin positive lens. It crosses the
principal axis at which point? (F marks the
two focal points.)
In order for a lens to produce a real image,
the light rays from the object must
A. actually be focused at the image location
B. come to a stop at the image location.
C. appear to be focused at the image
location.
D. first travel in a straight line parallel to the
axis.
In order for a lens to produce a real image,
the light rays from the object must
A. actually be focused at the image
location
B. come to a stop at the image location.
C. appear to be focused at the image
location.
D. first travel in a straight line parallel to the
axis.
A point object O is placed in
front of a thin converging
lens. F marks the two focal
points. Observers are at 1, 2,
and 3. The image of point O
is seen by the
A. observer at 1 only.
B. observer at 2 only.
C. observer at 3 only.
D. observers at 1, 2, and 3.
E. observers at 1 and 2.
A point object O is placed in
front of a thin converging
lens. F marks the two focal
points. Observers are at 1, 2,
and 3. The image of point O
is seen by the
A. observer at 1 only.
B. observer at 2 only.
C. observer at 3 only.
D. observers at 1, 2, and 3.
E. observers at 1 and 2.
One ray is shown as it leaves an object
placed before a positive lens. If this ray
were continued to show its path through the
lens, it would pass through which point? (F
marks the two focal points.)
One ray is shown as it leaves an object
placed before a positive lens. If this ray
were continued to show its path through the
lens, it would pass through which point? (F
marks the two focal points.)
After passing through the thin converging
lens, the two rays cross at which point? (F
marks the first focal point.)
After passing through the thin converging
lens, the two rays cross at which point? (F
marks the first focal point.)
Thin converging lenses 1 and 2 have focal
points F1 and F2 respectively. After passing
through the two lenses, the ray passes
through which point?
Thin converging lenses 1 and 2 have focal
points F1 and F2 respectively. After passing
through the two lenses, the ray passes
through which point?
The data in the
graph were
obtained using a
thin lens. The lens
must have been a
A.
B.
C.
D.
E.
converging lens of focal length 10 cm.
converging lens of focal length 5 cm.
diverging lens of focal length 10 cm.
diverging lens of focal length 5 cm.
flat-plate lens.
The data in the
graph were
obtained using a
thin lens. The lens
must have been a
A.
B.
C.
D.
E.
converging lens of focal length 10 cm.
converging lens of focal length 5 cm.
diverging lens of focal length 10 cm.
diverging lens of focal length 5 cm.
flat-plate lens.
Chapter 32: Optical Images
Section 32-3: Aberrations
The theoretical limit to the sharpness of
focus of a lens system is determined by
A. spherical aberration limitations.
B. chromatic aberration limitations.
C. astigmatic limitations.
D. diffraction limitations.
E. the relative smoothness of the lens
surface.
The theoretical limit to the sharpness of
focus of a lens system is determined by
A. spherical aberration limitations.
B. chromatic aberration limitations.
C. astigmatic limitations.
D. diffraction limitations.
E. the relative smoothness of the lens
surface.
A spherical mirror exhibits
A. both chromatic and spherical aberrations.
B. neither chromatic nor spherical
aberration.
C. spherical but not chromatic aberration.
D. chromatic but not spherical aberration.
A spherical mirror exhibits
A. both chromatic and spherical aberrations.
B. neither chromatic nor spherical
aberration.
C. spherical but not chromatic aberration.
D. chromatic but not spherical aberration.
Which type of aberration can be eliminated
by using mirrors instead of lenses?
A. Chromatic aberration.
B. Spherical aberration.
C. Coma aberration.
D. Astigmatism.
E. All the aberrations
Which type of aberration can be eliminated
by using mirrors instead of lenses?
A. Chromatic aberration.
B. Spherical aberration.
C. Coma aberration.
D. Astigmatism.
E. All the aberrations
White light falls on a thick lens. The red
wavelength and the blue wavelength fall at
different focuses. The lens is said to exhibit
A. hypermetropia.
B. myopia.
C. astigmatism.
D. chromatic
aberration.
E. spherical aberration.
White light falls on a thick lens. The red
wavelength and the blue wavelength fall at
different focuses. The lens is said to exhibit
A. hypermetropia.
B. myopia.
C. astigmatism.
D. chromatic
aberration.
E. spherical aberration.
Chapter 32: Optical Images
Section 32-4: Optical Instruments
A typical farsighted person requires
A. glasses with converging lenses to drive.
B. glasses with diverging lenses to drive.
C. glasses with converging lenses to read.
D. glasses with diverging lenses to read.
E. no glasses to read.
A typical farsighted person requires
A. glasses with converging lenses to drive.
B. glasses with diverging lenses to drive.
C. glasses with converging lenses to
read.
D. glasses with diverging lenses to read.
E. no glasses to read.
A farsighted person uses glasses to read.
The person then sees _____ print that
appears _____ than is actually the case.
A. larger; closer
B. larger; farther away
C. smaller; closer
D. smaller; farther away
E. actual sized; farther away
A farsighted person uses glasses to read.
The person then sees _____ print that
appears _____ than is actually the case.
A. larger; closer
B. larger; farther away
C. smaller; closer
D. smaller; farther away
E. actual sized; farther away
The eyes of some people wearing glasses
appear larger than normal. The glasses help
the people to see
A. objects that are far away.
B. objects that are close by.
The eyes of some people wearing glasses
appear larger than normal. The glasses help
the people to see
A. objects that are far away.
B. objects that are close by.
The eyes of some people wearing glasses
appear smaller than normal. The glasses
help the people to see
A. objects that are far away.
B. objects that are close by.
The eyes of some people wearing glasses
appear smaller than normal. The glasses
help the people to see
A. objects that are far away.
B. objects that are close by.
Two people look at the same object through
the same microscope. Person A has a near
point of xnp and person B has a near point of
2xnp. If person A sees the object magnified
m times, with what magnification does
person B see the object?
A. m
B. m/2
C. m/4
D. 2m
E. 4m
Two people look at the same object through
the same microscope. Person A has a near
point of xnp and person B has a near point of
2xnp. If person A sees the object magnified
m times, with what magnification does
person B see the object?
A. m
B. m/2
C. m/4
D. 2m
E. 4m
A person uses two microscopes to view the
same object. Microscope A is twice as long
as microscope B and contains lenses with
focal lengths that are one-half those of B. If
microscope A provides a magnification of m,
then what magnification does B provide?
A. m
B. 2m
C. m/2
D. 8m
E. m/8
A person uses two microscopes to view the
same object. Microscope A is twice as long
as microscope B and contains lenses with
focal lengths that are one-half those of B. If
microscope A provides a magnification of m,
then what magnification does B provide?
A. m
B. 2m
C. m/2
D. 8m
E. m/8
To provide large magnification, a telescope
should have an objective with a _____ and
an eyepiece with a _____.
A. long focal length; short focal length
B. long focal length; long focal length
C. short focal length; short focal length
D. short focal length; long focal length
To provide large magnification, a telescope
should have an objective with a _____ and
an eyepiece with a _____.
A. long focal length; short focal length
B. long focal length; long focal length
C. short focal length; short focal length
D. short focal length; long focal length
The resolving power of a telescope is a
measure of the ability of the instrument to
A. form a plane image of a plane object.
B. produce a large image.
C. eliminate aberrations.
D. produce a bright image.
E. form distinctly separate images of
points close together on the object.
The resolving power of a telescope is a
measure of the ability of the instrument to
A. form a plane image of a plane object.
B. produce a large image.
C. eliminate aberrations.
D. produce a bright image.
E. form distinctly separate images of
points close together on the object.