Question 1

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

Accepted Answer

A)  -0.25 cm 
B)  15 cm 
C)  4.0 cm 
D)  2.4 cm 
E)  -1.3 cm 
A)  -0.25 cm 
B)  15 cm 
C)  4.0 cm 
D)  2.4 cm 
E)  -1.3 cm

Question 2

Lucite has an index of refraction of 1.50. What is its critical angle if it is in air?

Accepted Answer

A)  1.16° 
B)  15° 
C)  41.8° 
D)  65.2° 
E)  87.4° 
A)  1.16° 
B)  15° 
C)  41.8° 
D)  65.2° 
E)  87.4°

Question 3

An object is 10 cm in front of a concave spherical mirror with a focal length of magnitude 3.0 cm. Where is the image?

Accepted Answer

A)  13 cm from the mirror 
B)  7.0 cm from the mirror 
C)  4.3 cm from the mirror 
D)  3.3 cm from the mirror 
A)  13 cm from the mirror 
B)  7.0 cm from the mirror 
C)  4.3 cm from the mirror 
D)  3.3 cm from the mirror

Question 4

An object is 50 cm from a concave mirror with radius of curvature of magnitude 60 cm. What is the lateral magnification produced by the mirror?

Accepted Answer

A)  +0.40 
B)  +0.70 
C)  +1.5 
D)  -0.70 
E)  -1.5 
A)  +0.40 
B)  +0.70 
C)  +1.5 
D)  -0.70 
E)  -1.5

Question 5

An object is 5.7 cm from a spherical concave mirror. If the image is 4.7 cm tall and 10 cm from the mirror, how tall is the object?

Accepted Answer

A)  12 cm 
B)  11 cm 
C)  8.2 cm 
D)  2.7 cm 
A)  12 cm 
B)  11 cm 
C)  8.2 cm 
D)  2.7 cm

Question 6

The critical angle for a beam of light passing from water into air is 48.8°. This means that all light rays with an angle of incidence in the water that is greater than 48.8° will be

Accepted Answer

A)  totally absorbed by the water. 
B)  totally reflected. 
C)  partially reflected and partially transmitted. 
D)  totally transmitted. 
A)  totally absorbed by the water. 
B)  totally reflected. 
C)  partially reflected and partially transmitted. 
D)  totally transmitted.

Question 7

An optic fiber is made of clear plastic with an index of refraction of 1.50. For what range of angles of incidence θ with the lateral surface of the fiber will light remain inside the plastic "guide" if it is surrounded by air?

Accepted Answer

A)  21.1° < θ < 90° 
B)  23.4° < θ < 90° 
C)  38.3° < θ < 90° 
D)  40.3° < θ < 90° 
E)  41.8° < θ < 90° 
A)  21.1° < θ < 90° 
B)  23.4° < θ < 90° 
C)  38.3° < θ < 90° 
D)  40.3° < θ < 90° 
E)  41.8° < θ < 90°

Question 8

A ray of light (ray a) in air strikes a flat piece of glass at an angle of φ0 = 84° with respect to the normal, as shown in the figure. The index of refraction of the glass is 1.5. What is the angle θ between the reflected ray (ray b) and refracted ray (ray c) rays?

Accepted Answer

Question 9

A 3.0-cm tall statue is 48 cm in front of a convex lens having a focal length of magnitude 20 cm.
(a) Is the image of the statue real or virtual?
(b) How far is the image from the lens?
(c) Is the image upright or inverted?
(d) How tall is the image?

Accepted Answer

(a) real

Question 10

A 14-mm tall postage stamp is 4.0 mm from a converging lens. If the image of the stamp is 4.0 mm tall, how far is it from the lens?

Accepted Answer

A)  14 mm 
B)  8.7 mm 
C)  1.4 mm 
D)  1.1 mm 
A)  14 mm 
B)  8.7 mm 
C)  1.4 mm 
D)  1.1 mm

Question 11

Which of following statements about the image formed by a single converging lens are true? (There could be more than one correct choice.)

Accepted Answer

A)  The image is always real. 
B)  The image is always virtual. 
C)  The image is always inverted. 
D)  The image is always upright. 
E)  None of the above choices are correct. 
A)  The image is always real. 
B)  The image is always virtual. 
C)  The image is always inverted. 
D)  The image is always upright. 
E)  None of the above choices are correct.

Question 12

A plant that is 4.0 cm tall is placed 15 cm from a concave spherical mirror having a focal length of magnitude 20 cm. Where is the image located?

Accepted Answer

A)  12 cm behind the mirror 
B)  12 cm in front of the mirror 
C)  60 cm behind the mirror 
D)  60 cm in front of the mirror 
A)  12 cm behind the mirror 
B)  12 cm in front of the mirror 
C)  60 cm behind the mirror 
D)  60 cm in front of the mirror

Question 13

A flashlight beam makes an angle of 60° with the plane of the surface of a calm lake before it enters the water. In the water what angle does the beam make with the plane of the surface? The index of refraction of water is 1.33.

Accepted Answer

A)  0° 
B)  30° 
C)  60° 
D)  22° 
E)  68° 
A)  0° 
B)  30° 
C)  60° 
D)  22° 
E)  68°

Question 14

An object is placed 21 cm from a concave lens having a focal length of magnitude 25 cm. What is the magnification?

Accepted Answer

A)  -0.54 
B)  0.54 
C)  -0.32 
D)  -0.22 
E)  0.22 
A)  -0.54 
B)  0.54 
C)  -0.32 
D)  -0.22 
E)  0.22

Question 15

When an object is placed 118 cm from a thin diverging lens, its image is found to be 59 cm from the lens. The lens is removed, and replaced by a thin converging lens whose focal length has the same magnitude as the diverging lens. This second lens is at the original position of the first lens. Where is the image of the object now?

Accepted Answer

The answer of When an object is placed 118 cm...

Question 16

An object is placed on the left side of a thin lens, and the image of this object is formed on the left side of the lens. Which of the following statements must be true? (There could be more than one correct choice.)

Accepted Answer

A)  The lens must be a diverging lens, and the image is upright. 
B)  The lens must be a converging lens, and the image is upright. 
C)  The image is upright and virtual. 
D)  The lens could be either a converging or a diverging lens, and the image is upright. 
E)  The image is inverted and real. 
A)  The lens must be a diverging lens, and the image is upright. 
B)  The lens must be a converging lens, and the image is upright. 
C)  The image is upright and virtual. 
D)  The lens could be either a converging or a diverging lens, and the image is upright. 
E)  The image is inverted and real.

Question 17

A cell phone that is 8.90 cm tall is placed in front of a convex mirror. The image of the phone is 7.80 cm tall and is located 14.8 cm from a mirror. What is the mirror's focal length?

Accepted Answer

A)  -120 cm 
B)  -105 cm 
C)  +16.9 cm 
D)  -13.0 cm 
E)  +120 cm 
A)  -120 cm 
B)  -105 cm 
C)  +16.9 cm 
D)  -13.0 cm 
E)  +120 cm

Question 18

A light beam is traveling inside a glass block that has an index of refraction of 1.46. As this light arrives at the surface of the block, it makes an angle of 53.0° with the normal. At what angle with the normal in the air will it leave the block?

Accepted Answer

A)  It will not leave. 
B)  59.1° 
C)  43.2° 
D)  33.2° 
A)  It will not leave. 
B)  59.1° 
C)  43.2° 
D)  33.2°

Question 19

A light beam having a wavelength of 470 nm in air is directed into glycerine at an angle of 75.0° with the normal in air. Glycerine has a refractive index of 1.47. (c = 3.0 × 108 m/s)
(a) What are the frequency and wavelength of the light in the glycerine?
(b) What angle does the light beam make with the normal in the glycerine?

Accepted Answer

(a) 6.38 ×

Question 20

If the magnification of a mirror or lens is negative, it means that

Accepted Answer

A)  the image is smaller than the object. 
B)  the image is inverted and smaller than the object. 
C)  the image is inverted. 
D)  the object is farther from the mirror (or lens) than the image. 
E)  the image is farther from the mirror (or lens) than the object. 
A)  the image is smaller than the object. 
B)  the image is inverted and smaller than the object. 
C)  the image is inverted. 
D)  the object is farther from the mirror (or lens) than the image. 
E)  the image is farther from the mirror (or lens) than the object.

Exam 18: Ray Optics

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

Lucite has an index of refraction of 1.50. What is its critical angle if it is in air?

An object is 10 cm in front of a concave spherical mirror with a focal length of magnitude 3.0 cm. Where is the image?

An object is 50 cm from a concave mirror with radius of curvature of magnitude 60 cm. What is the lateral magnification produced by the mirror?

An object is 5.7 cm from a spherical concave mirror. If the image is 4.7 cm tall and 10 cm from the mirror, how tall is the object?

The critical angle for a beam of light passing from water into air is 48.8°. This means that all light rays with an angle of incidence in the water that is greater than 48.8° will be

An optic fiber is made of clear plastic with an index of refraction of 1.50. For what range of angles of incidence θ with the lateral surface of the fiber will light remain inside the plastic "guide" if it is surrounded by air?

A ray of light (ray a) in air strikes a flat piece of glass at an angle of φ0 = 84° with respect to the normal, as shown in the figure. The index of refraction of the glass is 1.5. What is the angle θ between the reflected ray (ray b) and refracted ray (ray c) rays?

A 3.0-cm tall statue is 48 cm in front of a convex lens having a focal length of magnitude 20 cm. (a) Is the image of the statue real or virtual? (b) How far is the image from the lens? (c) Is the image upright or inverted? (d) How tall is the image?

A 14-mm tall postage stamp is 4.0 mm from a converging lens. If the image of the stamp is 4.0 mm tall, how far is it from the lens?

Which of following statements about the image formed by a single converging lens are true? (There could be more than one correct choice.)

A plant that is 4.0 cm tall is placed 15 cm from a concave spherical mirror having a focal length of magnitude 20 cm. Where is the image located?

A flashlight beam makes an angle of 60° with the plane of the surface of a calm lake before it enters the water. In the water what angle does the beam make with the plane of the surface? The index of refraction of water is 1.33.

An object is placed 21 cm from a concave lens having a focal length of magnitude 25 cm. What is the magnification?

An object is placed on the left side of a thin lens, and the image of this object is formed on the left side of the lens. Which of the following statements must be true? (There could be more than one correct choice.)

A cell phone that is 8.90 cm tall is placed in front of a convex mirror. The image of the phone is 7.80 cm tall and is located 14.8 cm from a mirror. What is the mirror's focal length?

A light beam is traveling inside a glass block that has an index of refraction of 1.46. As this light arrives at the surface of the block, it makes an angle of 53.0° with the normal. At what angle with the normal in the air will it leave the block?

If the magnification of a mirror or lens is negative, it means that

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