Question 1

A wrench is placed at 30 cm in front of a diverging lens with a focal length of magnitude 10 cm. What is the magnification of the wrench?

Accepted Answer

A)  0.25 
B)  -0.25 
C)  0.67 
D)  -0.67 
E)  4.0 
A)  0.25 
B)  -0.25 
C)  0.67 
D)  -0.67 
E)  4.0 A

Question 2

A convex lens has focal length f. If an object is placed at a distance beyond 2f from the lens on the principal axis, the image is located at a distance from the lens

Accepted Answer

A)  of 2f. 
B)  between f and 2f. 
C)  of f. 
D)  between the lens and f. 
E)  of infinity. 
A)  of 2f. 
B)  between f and 2f. 
C)  of f. 
D)  between the lens and f. 
E)  of infinity. B

Question 3

An object that is 75 cm tall is located 3.8 m in front of a plane mirror. The image formed by the mirror appears to be

Accepted Answer

A)  1.9 m in front of the mirror. 
B)  on the mirror's surface. 
C)  1.9 m behind the mirror's surface. 
D)  3.8 m in front of the mirror. 
E)  3.8 m behind the mirror's surface. 
A)  1.9 m in front of the mirror. 
B)  on the mirror's surface. 
C)  1.9 m behind the mirror's surface. 
D)  3.8 m in front of the mirror. 
E)  3.8 m behind the mirror's surface. E

Question 4

If an object is placed at the center of curvature of concave mirror, the image formed by the mirror is located

Accepted Answer

A)  out beyond the center of curvature. 
B)  at the center of curvature. 
C)  between the center of curvature and the focal point. 
D)  at the focal point. 
E)  at infinity. 
A)  out beyond the center of curvature. 
B)  at the center of curvature. 
C)  between the center of curvature and the focal point. 
D)  at the focal point. 
E)  at infinity.

Question 5

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal. In the plate, this beam makes an angle of 22.4° with the normal. What is the speed of light in this glass?(c = 3.0 × 108 m/s)

Accepted Answer

Question 6

If you stand in front of a convex mirror, at the same distance from it as its radius of curvature,

Accepted Answer

A)  you won't see your image because there is none. 
B)  you won't see your image because it is focused at infinity. 
C)  you will see your image and you will appear smaller than you. 
D)  you will see your image and you will appear larger than you. 
E)  you will see your image and it will be the same size as you except upside down. 
A)  you won't see your image because there is none. 
B)  you won't see your image because it is focused at infinity. 
C)  you will see your image and you will appear smaller than you. 
D)  you will see your image and you will appear larger than you. 
E)  you will see your image and it will be the same size as you except upside down.

Question 7

A statue that is 10.4 cm tall is placed 4.8 cm in front of a concave lens. The image is 4.0 cm from the lens. How tall is the image?

Accepted Answer

A)  13 cm 
B)  8.7 cm 
C)  5.4 cm 
D)  1.8 cm 
A)  13 cm 
B)  8.7 cm 
C)  5.4 cm 
D)  1.8 cm

Question 8

When an object is 12 cm in front of a concave spherical mirror, the image is formed 3.0 cm in front of the mirror. What is the focal length of the mirror?

Accepted Answer

A)  15 cm 
B)  4.0 cm 
C)  2.4 cm 
D)  1.3 cm 
A)  15 cm 
B)  4.0 cm 
C)  2.4 cm 
D)  1.3 cm

Question 9

A convex spherical mirror has a focal length of magnitude 20 cm. If an object is placed 10 cm in front of the mirror on the mirror's axis, where is the image located?

Accepted Answer

A)  20 cm behind the mirror 
B)  20 cm in front of the mirror 
C)  6.7 cm behind the mirror 
D)  6.7 cm in front of the mirror 
A)  20 cm behind the mirror 
B)  20 cm in front of the mirror 
C)  6.7 cm behind the mirror 
D)  6.7 cm in front of the mirror

Question 10

An image is 4.0 mm in front of a converging lens with focal length of magnitude 5.0 mm. Where is the object for this image?

Accepted Answer

A)  2.2 mm in front of the lens 
B)  2.2 mm behind the lens 
C)  9.0 mm behind the lens 
D)  20 mm in front of the lens 
A)  2.2 mm in front of the lens 
B)  2.2 mm behind the lens 
C)  9.0 mm behind the lens 
D)  20 mm in front of the lens

Question 11

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface. The index of refraction for water is 1.33, and for the glass it is 1.43. What angle does the refracted ray in the water make with the normal?

Accepted Answer

A)  37° 
B)  42° 
C)  47° 
D)  32° 
E)  27° 
A)  37° 
B)  42° 
C)  47° 
D)  32° 
E)  27°

Question 12

An object that is 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has magnitude 73 cm.
(a) How far is the image from the vertex of the mirror?
(b) What is the height of the image?

Accepted Answer

(a) 15 cm

Question 13

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s)

Accepted Answer

A)  1.0 × 108 m/s 
B)  2.0 × 108 m/s 
C)  2.3 × 108 m/s 
D)  3.0 × 108 m/s 
E)  0.50 × 108 m/s 
A)  1.0 × 108 m/s 
B)  2.0 × 108 m/s 
C)  2.3 × 108 m/s 
D)  3.0 × 108 m/s 
E)  0.50 × 108 m/s

Question 14

A beam of light that is parallel to the principal axis strikes a concave mirror. What happens to the reflected beam of light?

Accepted Answer

A)  It also is parallel to the principal axis. 
B)  It is perpendicular to the principal axis. 
C)  It passes through the center of curvature of the mirror. 
D)  It passes through the focal point of the mirror. 
E)  It passes between the focal point and the center of curvature of the mirror. 
A)  It also is parallel to the principal axis. 
B)  It is perpendicular to the principal axis. 
C)  It passes through the center of curvature of the mirror. 
D)  It passes through the focal point of the mirror. 
E)  It passes between the focal point and the center of curvature of the mirror.

Question 15

A person's face is 30 cm in front of a concave spherical shaving mirror. If the image is an erect image that is 1.5 times as large as the object, what is the focal length mirror?

Accepted Answer

A)  20 cm 
B)  50 cm 
C)  70 cm 
D)  90 cm 
A)  20 cm 
B)  50 cm 
C)  70 cm 
D)  90 cm

Question 16

Which statements about images are correct? (There could be more than one correct choice.)

Accepted Answer

A)  A virtual image cannot be formed on a screen. 
B)  A virtual image cannot be viewed by the unaided eye. 
C)  A virtual image cannot be photographed. 
D)  A real image must be erect. 
E)  Mirrors always produce real images because they reflect light. 
A)  A virtual image cannot be formed on a screen. 
B)  A virtual image cannot be viewed by the unaided eye. 
C)  A virtual image cannot be photographed. 
D)  A real image must be erect. 
E)  Mirrors always produce real images because they reflect light.

Question 17

A concave spherical mirror has a focal length of magnitude 20 cm. An object is placed 10 cm in front of the mirror on the mirror's axis. Where is the image located?

Accepted Answer

A)  20 cm behind the mirror 
B)  20 cm in front of the mirror 
C)  6.7 cm behind the mirror 
D)  6.7 cm in front of the mirror 
A)  20 cm behind the mirror 
B)  20 cm in front of the mirror 
C)  6.7 cm behind the mirror 
D)  6.7 cm in front of the mirror

Question 18

A thin beam of light enters a thick plastic sheet from air at an angle of 32.0° with the normal and continues in the sheet at an angle of 23.0° with the normal. What is the index of refraction of the plastic?

Accepted Answer

A)  0.74 
B)  1.11 
C)  1.28 
D)  1.36 
A)  0.74 
B)  1.11 
C)  1.28 
D)  1.36

Question 19

A convex lens has focal length f. If an object is placed at a distance of 2f from the lens on the principal axis, the image is located at a distance from the lens

Accepted Answer

A)  of 2f. 
B)  between f and 2f. 
C)  of f. 
D)  between the lens and f. 
E)  of infinity. 
A)  of 2f. 
B)  between f and 2f. 
C)  of f. 
D)  between the lens and f. 
E)  of infinity.

Question 20

A slide projector is set up with its lens 6.0 m from the screen. The projected image on the screen is 1.5 m square for a slide (the object) that is 2.5 cm square.
(a) How far is the slide from the lens?
(b) What is the focal length of the projector lens?

Accepted Answer

(a) 10 cm

Exam 18: Ray Optics

A wrench is placed at 30 cm in front of a diverging lens with a focal length of magnitude 10 cm. What is the magnification of the wrench?

A convex lens has focal length f. If an object is placed at a distance beyond 2f from the lens on the principal axis, the image is located at a distance from the lens

An object that is 75 cm tall is located 3.8 m in front of a plane mirror. The image formed by the mirror appears to be

If an object is placed at the center of curvature of concave mirror, the image formed by the mirror is located

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal. In the plate, this beam makes an angle of 22.4° with the normal. What is the speed of light in this glass?(c = 3.0 × 108 m/s)

If you stand in front of a convex mirror, at the same distance from it as its radius of curvature,

A statue that is 10.4 cm tall is placed 4.8 cm in front of a concave lens. The image is 4.0 cm from the lens. How tall is the image?

When an object is 12 cm in front of a concave spherical mirror, the image is formed 3.0 cm in front of the mirror. What is the focal length of the mirror?

A convex spherical mirror has a focal length of magnitude 20 cm. If an object is placed 10 cm in front of the mirror on the mirror's axis, where is the image located?

An image is 4.0 mm in front of a converging lens with focal length of magnitude 5.0 mm. Where is the object for this image?

A ray of light in glass strikes a water-glass interface at an angle of incidence equal to one-half the critical angle for that interface. The index of refraction for water is 1.33, and for the glass it is 1.43. What angle does the refracted ray in the water make with the normal?

An object that is 3.4 mm tall is placed 25 cm from the vertex of a convex spherical mirror. The radius of curvature of the mirror has magnitude 73 cm. (a) How far is the image from the vertex of the mirror? (b) What is the height of the image?

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s)

A beam of light that is parallel to the principal axis strikes a concave mirror. What happens to the reflected beam of light?

A person's face is 30 cm in front of a concave spherical shaving mirror. If the image is an erect image that is 1.5 times as large as the object, what is the focal length mirror?

Which statements about images are correct? (There could be more than one correct choice.)

A concave spherical mirror has a focal length of magnitude 20 cm. An object is placed 10 cm in front of the mirror on the mirror's axis. Where is the image located?

A thin beam of light enters a thick plastic sheet from air at an angle of 32.0° with the normal and continues in the sheet at an angle of 23.0° with the normal. What is the index of refraction of the plastic?

A convex lens has focal length f. If an object is placed at a distance of 2f from the lens on the principal axis, the image is located at a distance from the lens

A slide projector is set up with its lens 6.0 m from the screen. The projected image on the screen is 1.5 m square for a slide (the object) that is 2.5 cm square. (a) How far is the slide from the lens? (b) What is the focal length of the projector lens?

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A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal. In the plate, this beam makes an angle of 22.4° with the normal. What is the speed of light in this glass?(c = 3.0 × 10⁸ m/s)

A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 40° with the normal, and the refracted beam make an angle of 26° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 10⁸ m/s)