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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


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

E) A) and B)
F) A) and C)

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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) The image is inverted and real.
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 lens must be a diverging lens, and the image is upright.

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

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


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

F) None of the above
G) D) and E)

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A 4.0-cm tall object is placed 60 cm in front of a converging lens of focal length of magnitude 30 cm. What are the nature and location of the image?


A) The image is virtual, 2.5 cm tall, 30 cm on the other side of the lens.
B) The image is virtual, 4.0 cm tall, 60 cm on the same side as object.
C) The image is virtual, 2.0 cm tall, 15 cm on the other side of the lens.
D) The image is real, 2.5 cm tall, 30 cm on the same side as object.
E) The image is real, 4.0 cm tall, 60 cm on the other side of the lens.

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

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A negative magnification for a mirror means that


A) the image is inverted, and the mirror is concave.
B) the image is upright, and the mirror could be either concave or convex.
C) the image is inverted, and the mirror is convex.
D) the image is inverted, and the mirror could be either concave or convex.
E) the image is upright, and the mirror is convex.

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

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A beam of light, traveling in air, strikes a plate of transparent material at an angle of incidence of 56.056.0 ^ { \circ } . It is observed that the reflected and refracted beams form an angle of 90.090.0 ^ { \circ } . What is the index of refraction of this material?


A) 1.481.48
B) 1.431.43
C) 1.441.44
D) 1.401.40

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

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An object is placed 15 cm from a spherical concave mirror with a focal length of magnitude 20 cm. If the object is 4.0 cm tall, how tall is the image?


A) 2.0 cm
B) 16 cm
C) 1.0 cm
D) 8.0 cm

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

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A convex lens has focal length ff . If an object is placed at a distance between ff and 2f2 f from the lens on the principal axis, the image is located at a distance from the lens


A) that is greater than 2f2 f .
B) of infinity.
C) of 2f2 f .
D) between ff and 2f2 f .
E) of ff .

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

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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?


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

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

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A thin double-convex lens is intended to focus the image of an object onto a screen so that the image is life-sized on the screen. The lens has equal-magnitude radii of 83 cm83 \mathrm {~cm} and a refractive index of 1.6. (a) What is the distance dd from the image to the screen? (b) What is the total distance LL between the object and the image?


A) (a) d=69 cmd = 69 \mathrm {~cm}
(b) L=35 cmL = 35 \mathrm {~cm}
B) (a) d=138 cmd = 138 \mathrm {~cm}
(b) L=276 cmL = 276 \mathrm {~cm}
C) (a) d=138 cmd = - 138 \mathrm {~cm}
(b) L=276 cmL = - 276 \mathrm {~cm}
D) (a) d=276 cm( \mathrm { a } ) d = 276 \mathrm {~cm}
(b) L=552 cmL = 552 \mathrm {~cm}

E) A) and B)
F) A) and C)

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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?

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A drawing is placed 40 cm40 \mathrm {~cm} in front of a thin lens. If a virtual image forms at a distance of 50 cm50 \mathrm {~cm} from the lens, on the same side as the drawing, what is the focal length of the lens?


A) 45 cm- 45 \mathrm {~cm}
B) +45 cm+ 45 \mathrm {~cm}
C) 75 cm75 \mathrm {~cm}
D) 90 cm90 \mathrm {~cm}
E) 200 cm200 \mathrm {~cm}

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

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A scuba diver is 1.2 m1.2 \mathrm {~m} beneath the surface of a still pond of water. At what angle relative to the normal at the surface must the diver shine a beam of light toward the surface in order for a person on a distant bank to be able to see it? The index of refraction for water is 1.331.33 .


A) 4141 ^ { \circ }
B) 9090 ^ { \circ }
C) 5959 ^ { \circ }
D) 00 ^ { \circ }
E) 4848 ^ { \circ }

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

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A ray of light (ray aa ) in air strikes a flat piece of glass at an angle of ϕ0=84\phi _ { 0 } = 84 ^ { \circ } with respect to the normal, as shown in the figure. The index of refraction of the glass is 1.51.5 . What is the angle θ\theta between the reflected ray (ray bb ) and refracted ray (ray cc ) rays?  A ray of light (ray  a  ) in air strikes a flat piece of glass at an angle of  \phi _ { 0 } = 84 ^ { \circ }  with respect to the normal, as shown in the figure. The index of refraction of the glass is  1.5 . What is the angle  \theta  between the reflected ray (ray  b  ) and refracted ray (ray  c  ) rays?

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If the index of refraction of a material is 2, this means that light travels


A) 2 times as fast in air as it does in vacuum.
B) 2 times as fast in vacuum as it does in the material.
C) 2 times as fast in the material as it does in air.
D) 1/2 as fast in air as it does in the material.
E) 2 times as fast in the material than it does in vacuum.

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

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A plant that is 4.1 cm tall is 10.3 cm from a converging lens. You observe that the image of this plant is virtual and 6.2 cm tall. What is the focal length of the lens?


A) 30 cm
B) 6.8 cm
C) 16 cm
D) -30 cm
E) -16 cm

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

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You may have seen ambulances on the street with the letters of the word AMBULANCE written on the front of them, in such a way as to appear correctly when viewed in your car's rear-view Mirror. (See the figure.) How do the letters appear when you look directly at the ambulance (not Through the mirror) ? a) \forall WดกาซNวE b) MBАИว\mathrm { MB } \cup \perp А И ว \exists c) ECNALUBMA d) N&W\exists ว N \forall า \cap \& W \forall e) ヨวИA」บดMA


A) a\mathrm { a }
B) bb
C) c\mathrm { c }
D) d\mathrm { d }
E) e

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

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The image formed by a single concave lens


A) is always inverted.
B) could be real or virtual, depending on whether the object distance is smaller or greater than the focal length.
C) is always virtual.
D) could be real or virtual, but is always real when the object is placed at the focal point.
E) is always real.

F) All of the above
G) B) and D)

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A plastic cube is immersed in water having an index of refraction of 1.331.33 . A laser beam in the plastic strikes the interface at an angle of 14.514.5 ^ { \circ } with the normal in the plastic. In the water, this beam makes an angle of 21.821.8 ^ { \circ } with the normal. What is the speed of light in the plastic cube? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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A light beam has speed cc in vacuum and speed vv in a certain plastic. The index of refraction nn of this plastic is


A) n=(c/v) 2n = ( c / v ) ^ { 2 } .
B) n=c/vn = c / v .
C) n=(v/c) 2n = ( v / c ) ^ { 2 } .
D) n=v/cn = v / c .
E) n=cvn = c v .

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

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