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The radius of curvature of a spherical convex mirror is 52 cm.What is its focal length?


A) +26 cm
B) -26 cm
C) +52 cm
D) -52 cm
E) +104 cm

F) B) and D)
G) C) and D)

Correct Answer

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Which one of the following statements concerning the image formed by a concave spherical mirror is true?


A) When the object distance is less than the focal length, the image is virtual.
B) When the object distance is larger than the focal length, the image is virtual.
C) When the object is at the center of curvature, the image is formed at infinity.
D) When the object distance is less than the focal length, the image is inverted relative to the object.
E) When the object distance is larger than the focal length, the image is upright relative to the object.

F) A) and B)
G) A) and E)

Correct Answer

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A

Which one of the following statements concerning a virtual image produced by a mirror is true?


A) A virtual image is always larger than the object.
B) A virtual image is always smaller than the object.
C) A virtual image is always upright relative to the object.
D) A virtual image is always inverted relative to the object.
E) A virtual image can be photographed or projected onto a screen.

F) A) and B)
G) D) and E)

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A convex mirror with a focal length of 58 cm is used to form an image that is 29 cm behind the mirror.What is the object distance?


A) +22 cm
B) +15 cm
C) +69 cm
D) +28 cm
E) +58 cm

F) A) and B)
G) A) and C)

Correct Answer

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Which one of the following statements is not a characteristic of a plane mirror?


A) The image is real.
B) The magnification is +1.
C) The image is always upright.
D) The image is reversed right to left.
E) The image and object distances are equal in magnitude.

F) B) and E)
G) A) and B)

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A rubber ball is held 4.0 m above a concave spherical mirror with a radius of curvature of 1.5 m.At time equals zero, the ball is dropped from rest and falls along the principal axis of the mirror.How much time elapses before the ball and its image are at the same location?


A) 0.30 s
B) 0.55 s
C) 0.63 s
D) 0.71 s
E) 0.90 s

F) A) and B)
G) None of the above

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Which one of the following statements concerning rays is false?


A) Rays point in the direction of the wave velocity.
B) Rays point outward from the wave source.
C) Rays are parallel to the wave front.
D) Rays are radial lines that originate from a point source of waves.
E) Rays for a plane wave are parallel to each other.

F) A) and C)
G) A) and B)

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C

25-2 An object with a height of 3.0-cm is placed 8.0 cm in front of a mirror.The virtual image is 4.0 cm further from the mirror when the mirror is concave than when it is planar. -Determine the focal length of the concave mirror.


A) 6.0 cm
B) 12 cm
C) 24 cm
D) 48 cm
E) 96 cm

F) C) and D)
G) A) and D)

Correct Answer

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Santa Claus looks at his reflection in a spherical Christmas tree ornament.Which one of the following statements concerning Santa's image is true?


A) The image must be real.
B) The image is farther from the ornament than Santa is.
C) The image is larger than Santa.
D) The image must be inverted.
E) The image must be smaller than Santa.

F) C) and E)
G) A) and C)

Correct Answer

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The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)


A) The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)
B) The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)
C) The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)
D) The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)
E) The table below lists object and image distances for five objects placed in front of mirrors.For which one of the following cases is the image formed by a convex spherical mirror? A) B) C) D) E)

F) A) and B)
G) A) and C)

Correct Answer

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A dime is placed in front of a concave mirror that has a radius of curvature R = 0.30 m.The image of the dime is inverted and three times the size of the dime.Determine the distance between the dime and the mirror.


A) 0.20 m
B) 0.15 m
C) 0.10 m
D) 0.60 m
E) 0.45 m

F) A) and E)
G) A) and C)

Correct Answer

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A concave mirror has a radius of curvature of 60.0 cm.How close to the mirror should an object be placed so that the rays travel parallel to each other after reflection?


A) 10.0 cm
B) 15.0 cm
C) 30.0 cm
D) 45.0 cm
E) 60.0 cm

F) A) and E)
G) C) and D)

Correct Answer

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A concave mirror in an amusement park has a radius of curvature of 4.0 m.A child stands in front of the mirror so that she appears 3.0 times taller than her actual height.If the image is upright, how far is she standing from the mirror?


A) 1.1 m
B) 1.3 m
C) 2.8 m
D) 3.0 m
E) 4.5 m

F) A) and B)
G) B) and C)

Correct Answer

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Makenzie walks directly toward a plane mirror at a speed of 0.30 m/s.Determine the speed of the image relative to her.


A) 0.15 m/s
B) 0.30 m/s
C) 0.60 m/s
D) 0.90 m/s
E) 1.2 m/s

F) B) and D)
G) B) and E)

Correct Answer

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C

In the figure, Joel is using a device known as a periscope to observe an object, represented by an upright arrow.The periscope contains two plane mirrors tilted at an angle of 45° relative to Joel's line of sight.Which one of the following pairs of characteristics of the final image that Joel looks at is correct relative to those of the object? In the figure, Joel is using a device known as a periscope to observe an object, represented by an upright arrow.The periscope contains two plane mirrors tilted at an angle of 45° relative to Joel's line of sight.Which one of the following pairs of characteristics of the final image that Joel looks at is correct relative to those of the object? A) inverted, real B) upright, enlarged C) inverted, smaller D) inverted, same size E) upright, virtual


A) inverted, real
B) upright, enlarged
C) inverted, smaller
D) inverted, same size
E) upright, virtual

F) A) and B)
G) A) and C)

Correct Answer

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The inverted image of a light bulb is formed on a screen located 9.00 m from a spherical mirror.The image is 4.00 times larger than the light bulb.Determine the object distance and the type of mirror used.


A) +0.444 m, concave
B) +2.25 m, concave
C) +36.0 m.concave
D) +0.0278 m, convex
E) +36.0 m, convex

F) All of the above
G) A) and E)

Correct Answer

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A concave mirror has a radius of curvature of 20 cm.For which one of the following object distances will the image be real, inverted and smaller than the object?


A) 5 cm
B) 10 cm
C) 15 cm
D) 18 cm
E) 25 cm

F) B) and C)
G) A) and C)

Correct Answer

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A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of α\alpha and β\beta ? A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)


A) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)
B) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)
C) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)
D) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)
E) A ray of light is reflected from two plane mirror surfaces as shown in the figure.What are the correct values of \alpha and \beta ? A) B) C) D) E)

F) A) and E)
G) C) and D)

Correct Answer

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Which one of the following statements concerning a convex mirror is true?


A) A convex mirror can form a real image.
B) A convex mirror must be spherical in shape.
C) The image produced by a convex mirror will always be inverted relative to the object.
D) A convex mirror produces a larger image than a plane mirror does for the same object distance.
E) The image a convex mirror produces is closer to the mirror than it would be in a plane mirror for the same object distance.

F) C) and D)
G) B) and E)

Correct Answer

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An object is 1.0 m in front of a mirror.A virtual image is formed 10.0 m behind the mirror.What is the radius of curvature of the mirror?


A) 0.56 m
B) 1.1 m
C) 2.2 m
D) 4.4 m
E) This problem cannot be solved without more information.

F) D) and E)
G) A) and E)

Correct Answer

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