A concave mirror with a focal length of 10 cm creates a real image 30 cm away on its principal axis; the corresponding object is located how far from the mirror?

1
A concave mirror with a focal length of 10 cm
creates a real image 30 cm away on its principal
axis the corresponding object is located how far
from the mirror?

1. 20.0 cm
2. 15.0 cm
3. 7.5 cm
4. 5.0 cm

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2
If you stand three feet in front of a plane
mirror, how far away would you see yourself in
the mirror?

1. 1.5 ft
2. 3.0 ft
3. 6.0 ft
4. 12.0 ft

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3
A concave mirror forms a real image at 25 cm from
the mirror surface along the principal axis. If
the corresponding object is at a 10 cm distance,
what is the mirror's focal length?

1. 1.4 cm
2. 16.7 cm
3. 12.4 cm
4. 7.1 cm

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4
If a virtual image is formed along the principal
axis 10 cm from a concave mirror with the focal
length 15 cm, what is the object distance from
the mirror?

1. 30.0 cm
2. 10.0 cm
3. 12.4 cm
4. 7.1 cm

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5
If a virtual image is formed 10 cm along the
principal axis from a convex mirror of focal
length -15 cm, what is the object distance from
the mirror?

1. 30.0 cm
2. 10.0 cm
3. 6.0 cm
4. 3.0 cm

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6
If a man's face is 30 cm in front of a concave
shaving mirror creating an erect image 1.5 times
as large as the object, what is the mirror's
focal length?

1. 12.0 cm
2. 20.0 cm
3. 70.0 cm
4. 90.0 cm

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7
What is the image location of an object 1 m in
front of a converging lens of focal length 20 cm?

1. q 16.7 cm
2. q 20.0 cm
3. q 25.0 cm
4. q 33.3 cm

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8
A magnifying glass has a convex lens of focal
length 15 cm. At what distance from a postage
stamp should you hold this lens to get a
magnification of 2?

1. 10.0 cm
2. 7.5 cm
3. 5.0 cm
4. 2.5 cm

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9
A contact lens is made of plastic with an index
of refraction 1.50. The lens has an outer radius
of curvature of 2.0 cm and an inner radius of
curvature of 2.5 cm. What is its focal length?

1. -20 cm
2. 6.67 cm
3. 10 cm
4. 20 cm

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10
A goldfish is swimming in water (n 1.33) inside
a spherical plastic bowl of index of refraction
1.33. If the goldfish is 10 cm from the front
wall of the 15 cm radius bowl, where does the
goldfish appear to an observer in front of the
bowl?

1. q -6 cm
2. q -7 cm
3. q -8 cm
4. q -9 cm

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11
For a diverging lens with one flat surface, the
radius of curvature for the curved surface is 10
cm. What must the index of refraction be so that
the focal length is -10 cm?

1. 1.5
2. 2.0
3. 3.0
4. 0.5

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12
A converging lens with two curved surfaces has a
front surface with a radius of curvature of 10 cm
and the back surface has a radius of curvature of
20 cm and it is made from material with an index
of refraction of 2.5. What is the focal length of
the lens?

1. 4.4 cm
2. 13.3 cm
3. -13.3 cm
4. 0.25 cm

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13
For a converging lens with two curved surfaces,
the radius of curvature for both surfaces is 10
cm. What must the index of refraction be so that
the focal length is also 10 cm?

1. 1.5
2. 2.0
3. 2.5
4. 3.0

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14
A candle is 49 cm in front of a convex spherical
mirror of radius of curvature 70 cm. Where is the
image and what is its magnification?

1. q -20.4 cm, M 0.417
2. q 20.4 cm, M -0.417
3. q 122.5 cm, M 2.50
4. q -20.4 cm, M -0.417

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15
An object 2 cm high is placed 10 cm in front of a
mirror. What type of mirror and what radius of
curvature is needed for an image that is upright
and 4 cm tall?

1. Concave, R 20 cm
2. Concave, R 40 cm
3. Convex, R -10 cm
4. Convex, R -20 cm

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16
An object is 15 cm from the surface of a
spherical Christmas tree ornament that is 5 cm in
diameter. What is the magnification of the image?

1. -0.055
2. 0.033
3. 0.077
4. 0.154

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17
Parallel rays of light that hit a concave mirror
will come together?

1. at the center of curvature.
2. at the focal point.
3. at a point half way to the focal point.
4. at infinity.

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18
A girl is standing in front of a concave mirror.
Consider two rays of light, one from her nose and
one from her mouth, that are parallel as they are
traveling toward the mirror. These rays will come
together?

1. at the focal point.
2. at the center of curvature.
3. at the image point.
4. behind the mirror if she is too close to the
   mirror.

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19
If atmospheric refraction did not occur, how
would the apparent time of sunrise and sunset be
changed?

1. both would be later
2. both would be earlier
3. sunrise would be later and sunset earlier
4. sunrise would be earlier and sunset later

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20
If an object and a piece of paper are separated
by a distance d, it is found that a convex lens
can be placed between the object and the paper
and a clear image of the object can be seen on
the paper. What is the minimum value of d
compared to the focal length?

1. d f/2
2. d f
3. d 2f
4. d 4f

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21
When the reflection of an object is seen in a
convex mirror the image will?

1. always be real.
2. always be virtual.
3. may be either real or virtual.
4. will always be magnified.

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22
When the reflection of an object is seen in a
plane mirror, the image is?

1. real and erect.
2. real and inverted.
3. virtual and erect.
4. virtual and inverted.

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23
When the reflection of an object is seen in a
plane mirror, the distance from the mirror to the
image depends on?

1. the wavelength of light used for viewing.
2. the distance from the object to the mirror.
3. the distance of both the observer and the object
   to the mirror.
4. the size of the object.

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24
If a man wishes to use a plane mirror on a wall
to view both his head and his feet as he stands
in front of the mirror, the required length of
the mirror?

1. is equal to the height of the man.
2. is equal to one-half the height of the man.
3. depends on the distance the man stands from the
   mirror.
4. depends on both the height of the man and the
   distance from the man to the mirror.

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25
When the reflection of an object is seen in a
concave mirror the image will?

1. always be real.
2. always be virtual.
3. may be either real or virtual.
4. will always be magnified.

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26
Two convex thin lenses with focal lengths 10 and
20 cm, respectively, are aligned on a common
axis, running left to right, the 10 cm lens being
on the left. The lenses are separated by a
distance of 20 cm. An object is located at a
distance of 15 cm to the left of the 10 cm lens.
Where will the final image appear as measured
from the 20 cm lens?

1. -13.3 cm
2. -6.67 cm
3. 6.67 cm
4. 13.3 cm

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27
A convex mirror with a focal length of -20 cm
forms an image 15 cm behind the surface. If the
object height is 1.2 cm what is the image height?

1. 0.30 cm
2. 0.75 cm
3. 0.94 cm
4. 3.0 cm

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28
An object placed 12 cm from a concave mirror
produces a real image 8 cm from the mirror. If
the object is now moved to a new position 18 cm
from the mirror, where is the new image located
as measured from the mirror?

1. 3.0 cm
2. 6.5 cm
3. 9.2 cm
4. 14.6 cm

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29
A projector lens is needed to form an image on a
screen 10 times the size of its corresponding
object. The screen is located 8 m from the lens.
What is the required focal length of the lens?

1. 0.32 m
2. 0.54 m
3. 0.73 m
4. 1.12 m

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30
An object, located 90 cm from a concave lens,
forms an image 60 cm from and on the same side of
that lens. What is the focal length of the lens?

1. -36 cm
2. -75 cm
3. -180 cm
4. -150 cm

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31
A convex mirror with focal length of -20 cm forms
an image 12 cm behind the surface. Where is the
object located as measured from the surface?

1. 7.5 cm
2. 15 cm
3. 22 cm
4. 30 cm

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32
An object is held at a distance of 12 cm from a
convex mirror creating a resultant image that is
1/3 the object size. What is the focal length of
the mirror?

1. -6.0 cm
2. -3.0 cm
3. -9.0 cm
4. -18.0 cm

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33
Two thin lenses of focal lengths 15 and 20 cm,
respectively, are placed in contact in an
orientation so that their optic axes coincide.
What is the focal length of the two in
combination?

1. 8.57 cm
2. 17.5 cm
3. 35 cm
4. 60 cm

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34
Two thin lenses, with focal lengths of 25 and -30
cm, respectively, are placed in contact
orientated so that their optic axes coincide.
What is the effective focal length of the two in
combination?

1. -2.5 cm
2. 13.6 cm
3. 55 cm
4. 150 cm

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35
A glass block, for which n 1.48, has a bubble
blemish located 6.4 cm from one surface. At what
distance from that surface does the image of the
blemish appear to the outside observer?

1. 3.2 cm
2. 4.3 cm
3. 7.6 cm
4. 9.5 cm

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36
Two thin lenses with focal lengths of 15 and 10
cm, respectively, are separated by 35 cm along a
common axis. The 15 cm lens is located to the
left of the 10 cm lens. An object is now placed
50 cm to the left of the 15 cm lens. What is the
magnification of the final image taken with
respect to the object?

1. 0.6
2. 1.2
3. 2.4
4. 3.6

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37
A solid glass sphere with a radius of 5.0 cm and
index of refraction of 1.52 has a small coin
embedded 3.0 cm from the front surface of the
sphere. For the viewer looking at the coin
through the glass, at what distance from the
front surface of the glass does the coin's image
appear to be located?

1. 2.48 cm
2. 3.20 cm
3. 5.00 cm
4. 6.85 cm

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38
In an ideal case rays coming from an object
toward a lens or mirror should be reasonably
close to the optic axis. To the extent that this
condition is not completely met, which one of the
following effects occurs?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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39
A fused combination of a diverging and converging
lens pair each made from a different index of
refraction glass, is used to reduce the
occurrence of which of the following effects?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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40
Reducing the lens aperture size is a scheme one
can use to reduce the occurrence of which of the
following effects?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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41
Use of a parabolic mirror, instead of one made of
a circular arc surface, can be used to reduce the
occurrence of which of the following effects?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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42
Which of the following effects is the result of
the fact that the index of refraction of glass
will vary with wavelength?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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43
An object is placed at a distance of 6 cm from a
thin convex lens along its axis. The lens has a
focal length of 9 cm. What are the values,
respectively, of the image distance and
magnification?

1. -18 cm and 3
2. 18 cm and 3
3. 3 cm and -0.5
4. -18 cm and -3

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44
An object is placed at a distance of 30 cm from a
thin convex lens along the axis. If a real image
forms at a distance of 10 cm from the lens, what
is the focal length of the lens?

1. 30 cm
2. 15 cm
3. 10 cm
4. 7.5 cm

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45
An object is placed at a distance of 40 cm from a
thin lens along the axis. If a virtual image
forms at a distance of 50 cm from the lens, on
the same side as the object, what is the focal
length of the lens?

1. 22 cm
2. 45 cm
3. 90 cm
4. 200 cm

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46
An object is placed at a distance of 40 cm from a
concave lens. If a virtual image appears 10 cm
from the lens on the same side as the object,
what is the focal length of the lens?

1. -50.0 cm
2. -13.3 cm
3. -10.0 cm
4. -8.0 cm

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47
An object is placed at a distance of 30 cm from a
thin convex lens along its axis. The lens has a
focal length of 10 cm. What are the values,
respectively, of the image distance and
magnification?

1. 60 cm and 2.00
2. 15 cm and 2.00
3. 60 cm and -0.50
4. 15 cm and -0.50

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48
Atmospheric refraction of light rays is
responsible for which one of the following
effects?

1. spherical aberration
2. mirages
3. chromatic aberration
4. light scattering

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49
Which of the following best describes the image
of a concave mirror when the object is at a
distance greater than twice the focal point
distance from the mirror?

1. virtual, erect and magnification greater than one
2. real, inverted and magnification less than one
3. virtual, erect and magnification less than one
4. real, inverted and magnification greater than one

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50
Which of the following best describes the image
of a concave mirror when the object distance from
the mirror is less than the focal point distance?

1. virtual, erect and magnification greater than one
2. real, inverted and magnification less than one
3. virtual, erect and magnification less than one
4. real, inverted and magnification greater than one

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51
Which of the following best describes the image
of a convex mirror when the object distance from
the mirror is less than the absolute value of the
focal point distance?

1. virtual, erect and magnification greater than one
2. real, inverted and magnification less than one
3. virtual, erect and magnification less than one
4. real, inverted and magnification greater than one

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52
Which of the following best describes the image
of a concave mirror when the object is located
somewhere between the focal point and twice the
focal point distance from the mirror?

1. virtual, erect and magnification greater than one
2. real, inverted and magnification less than one
3. virtual, erect and magnification less than one
4. real, inverted and magnification greater than one

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53
A 3 cm tall object is placed along the principal
axis of a thin convex lens of 30 cm focal length.
If the object distance is 40 cm, which of the
following best describes the image distance and
height, respectively?

1. 17.3 cm and 7.0 cm
2. 120.0 cm and 9.0 cm
3. 17.3 cm and 1.3 cm
4. 120.0 cm and 1.0 cm

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54
Which of the following best describes the image
for a thin convex lens that forms whenever the
object is at a distance less than one focal
length from the lens?

1. inverted, enlarged and real
2. erect, enlarged and virtual
3. erect, diminished and virtual
4. inverted, diminished and real

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55
Which of the following best describes the image
for a thin concave lens that forms whenever the
magnitude of the object distance is less than
that of the lens' focal length?

1. inverted, enlarged and real
2. erect, enlarged and virtual
3. erect, diminished and virtual
4. inverted, diminished and real

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56
Which of the following best describes the image
of a plane mirror?

1. virtual, inverted and magnification greater than
   one
2. real, inverted and magnification less than one
3. virtual, erect and magnification equal to one
4. real, erect and magnification equal to one

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57
A coin is thrown into a fountain filled to a
depth of 40 cm with clear water (n 1.33). An
observer looking straight down through the water
surface will perceive the coin to be at what
apparent depth?

1. 53.3 cm
2. 40.0 cm
3. 30.0 cm
4. 20.0 cm

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