71. The rectangular metal tank shown is filled with an unknown liquid. The observer, whose eye
is level with the top of the tank, can just see corner E. The index of refraction of this liquid is:
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eye
4ft
3ft
E
A. 1.75
B. 1.67
C. 1.50
D. 1.33
E. 1.25
ans: E
72. The index of refraction of benzene is 1.80. The critical angle for total internal reflection, at a
benzene-air interface, is about:
A. 56◦
B. 47◦
C. 34◦
D. 22◦
E. 18◦
ans: C
73. The index of refraction of a certain glass is 1.50. The sine of the critical angle for total internal
reflection at a glass-air interface is:
A. 0.50
B. 0.67
C. 0.75
D. 1.00
E. 1.50
ans: B
Chapter 33: ELECTROMAGNETIC WAVES 511
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74. The illustration shows total internal reflection taking place in a piece of glass. The index of
refraction of this glass:
............................................................................................................................................................. .
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A. is at least 2.0
B. is at most 2.0
C. is at least 1.15
D. is at most 1.15
E. cannot be calculated from the given data
ans: C
75. The critical angle for total internal reflection at a diamond-air interface is 25◦. Suppose light
is incident at an angle of θwith the normal. Total internal reflection will occur if the incident
medium is:
A. air and θ=25
◦
B. air and θ>25◦
C. air and θ<25◦
D. diamond and θ<25◦
E. diamond and θ>25◦
ans: E
76. If nwater =1.50 and nglass =1.33, then total internal reflection at an interface between this
glass and water:
A. occurs whenever the light goes from glass to water
B. occurs whenever the light goes from water to glass
C. may occur when the light goes from glass to water
D. may occur when the light goes from water to glass
E. can never occur at this interface
ans: D
77. The separation of white light into colors by a prism is associated with:
A. total internal reflection
B. partial reflection from each surface
C. variation of index of refraction with wavelength
D. a decrease in the speed of light in the glass
E. selective absorption of various colors
ans: C
512 Chapter 33: ELECTROMAGNETIC WAVES
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78. The diagram shows total internal reflection. Which of the following statements is NOT true?
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medium I
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AB
A. Angle AON is the angle of incidence
B. Angle AON = angle BON
C. Angle AON must be the critical angle
D. The speed of light in medium II is greater than that in medium I
E. if angle AON were increased, there would still be total internal reflection
ans: C
79. A ray of light in water (index n1) is incident on its surface (with air) at the critical angle for
total internal reflection. Some oil (index n2)isnowfloated on the water. The angle between
the ray in the oil and the normal is:
A. sin−1(1.00)
B. sin−1(1/n1)
C. sin−1(1/n2)
D. sin−1(n1/n2)
E. sin−1(n2/n1)
ans: C
Chapter 33: ELECTROMAGNETIC WAVES 513
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Chapter 34: IMAGES
1. A virtual image is one:
A. toward which light rays converge but do not pass through
B. from which light rays diverge but do not pass through
C. from which light rays diverge as they pass through
D. toward which light rays converge and pass through
E. with a ray normal to a mirror passing through it
ans: B
2. Which of the following is true of all virtual images?
A. They can be seen but not photographed
B. They are ephemeral
C. They are smaller than the objects
D. They are larger than the objects
E. None of the above
ans: E
3. When you stand in front of a plane mirror, your image is:
A. real, erect, and smaller than you
B. real, erect, and the same size as you
C. virtual, erect, and smaller than you
D. virtual, erect, and the same size as you
E. real, inverted, and the same size as you
ans: D
4. An object is 2 m in front of a plane mirror. Its image is:
A. virtual, inverted, and 2 m behind the mirror
B. virtual, inverted, and 2 m in front of the mirror
C. virtual, erect, and 2 m in front of the mirror
D. real, erect, and 2 m behind the mirror
E. none of the above
ans: E
5. A ball is held 50 cm in front of a plane mirror. The distance between the ball and its image is:
A. 100 cm
B. 150 cm
C. 200 cm
D. 0
E. 50 cm
ans: A
514 Chapter 34: IMAGES
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6. A card marked IAHIO8 is standing upright in front of a plane mirror. Which of the following
is NOT true?
A. The image is virtual
B. The image shifts its position as the observer shifts his position
C. The image appears as 8OIHAI to a person looking in the mirror
D. The image is caused mostly by specular rather than diffuse reflection
E. The image is the same size as the object
ans: B
7. The angle between a horizontal ruler and a vertical plane mirror is 30◦. The angle between the
ruler and its image is:
A. 15◦
B. 30◦
C. 60◦
D. 90◦
E. 180◦
ans: C
8. A 5.0-ft woman wishes to see a full length image of herself in a plane mirror. The minimum
length mirror required is:
A. 5 ft
B. 10 ft
C. 2.5ft
D. 3.54 ft
E. variable: the farther away she stands the smaller the required mirror length
ans: C
9. A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to
see the entire image of the card, the least mirror area needed is:
A. that of the whole mirror, regardless of its size
B. that of the pupil of his eye
C. one-half that of the card
D. one-fourth that of the card
E. an amount which decreases with his distance from the mirror
ans: D
10. A light bulb burns in front of the center of a 40-cm wide plane mirror that is hung vertically
on a wall. A man walks in front of the mirror along a line that is parallel to the mirror and
twice as far from it as the bulb. The greatest distance he can walk and still see the image of
the bulb is:
A. 20 cm
B. 40 cm
C. 60 cm
D. 80 cm
E. 120 cm
ans: E
Chapter 34: IMAGES 515
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