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The image of a plant is 4.0 cm from a concave spherical mirror having a radius of curvature of 10 cm. Where is the plant relative to the mirror?


A) 2.2 cm in front of the mirror
B) 4.4 cm in front of the mirror
C) 9.0 cm in front of the mirror
D) 1.0 cm in front of the mirror
E) 20 cm in front of the mirror

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What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33) ?


A) 42°
B) 48°
C) 53°
D) 57°
E) 61°

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


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

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A convex lens has a focal length f. An object is placed at a distance between f and 2f on a line perpendicular to the center of the lens. The image formed is located at what distance from the lens?


A) 2f
B) between f and 2f
C) f
D) between the lens and f
E) farther than 2f

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A double-concave lens has equal radii of curvature of 15.1 cm. An object placed 14.2 cm from the lens forms a virtual image 5.29 cm from the lens. What is the index of refraction of the lens material?


A) 1.90
B) 1.98
C) 1.82
D) 1.77

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The speed of light in a material is 0.50 c. What is the critical angle of a light ray at the interface between the material and a vacuum?


A) 30°
B) 21°
C) 24°
D) 27°

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How far are you from your image when you stand 0.750 m in front of a vertical plane mirror?


A) 0.375 m
B) 0.750 m
C) 1.50 m
D) 3.00 m

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Suppose you place your face in front of a concave mirror. Which one of the following statements is correct?


A) If you position yourself between the center of curvature and the focal point of the mirror, you will not be able to see a sharp image of your face.
B) No matter where you place yourself, a real image will be formed.
C) Your image will always be inverted.
D) Your image will be diminished in size.
E) None of these statements are true.

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When light goes from one material into another material having a HIGHER index of refraction


A) its speed, wavelength, and frequency all decrease.
B) its speed and wavelength decrease, but its frequency stays the same.
C) its speed decreases but its wavelength and frequency both increase.
D) its speed decreases but its frequency and wavelength stay the same.
E) its speed increases, its wavelength decreases, and its frequency stays the same.

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An object is placed in front of a lens which forms an image of the object.


A) If the lens is convex, the image cannot be virtual.
B) If the image is real, then it is also inverted.
C) If the image is real, then it is also upright.
D) If the image is virtual, then it is also inverted.
E) If the image is virtual, the lens must be a diverging lens.

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A convex lens has focal length f. If an object is located extremely far from the lens (at infinity) , the image formed is located what distance from the lens?


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

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An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm. A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens. Where is the final image formed?


A) 30 cm after the second lens
B) 20 cm in front of the first lens
C) 3.0 meters before the second lens
D) 100 cm after the second lens
E) 3.0 cm before the second lens

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A convex lens has a focal length f. An object is placed between infinity and 2f from the lens along a line perpendicular to the center of the lens. The image is located at what distance from the lens?


A) farther than 2f
B) 2f
C) between f and 2f
D) f
E) between the lens and f

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A ray of light traveling in air strikes the surface of a certain plastic slab at 63.0° with respect to the normal in air. It travels in the plastic slab at a 30.6° angle with respect to the normal. Find the critical angle for the plastic in air.

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As you walk away from a vertical plane mirror, your image in the mirror


A) is always the same height.
B) may or may not decrease in height, depending on where the observer is positioned.
C) is always a real image, no matter how far you are from the mirror.
D) changes from being a virtual image to a real image as you pass the focal point.
E) decreases in height.

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The spherical side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following, 20 m behind the mirror. If the height of the car is 1.6 m, how tall is its image?


A) 5.0 cm
B) 2.0 cm
C) 4.0 cm
D) 3.0 cm
E) 0.99 cm

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In the figure, the radius of curvature of the curved part of the lens is 24.0 cm, and the refractive index of the lens material is 1.750. What is the focal length of the lens? In the figure, the radius of curvature of the curved part of the lens is 24.0 cm, and the refractive index of the lens material is 1.750. What is the focal length of the lens?   A)  +32.0 cm B)  -32.0 cm C)  -16.0 cm D)  +13.8 cm E)  -13.8 cm


A) +32.0 cm
B) -32.0 cm
C) -16.0 cm
D) +13.8 cm
E) -13.8 cm

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A thin converging lens is found to form an image of a distant building 24 cm from the lens. If an insect is now placed 16 cm from this lens, how far FROM THE INSECT will its image be formed?


A) 64 cm
B) 72 cm
C) 32 cm
D) 96 cm
E) 48 cm

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A glass plate whose index of refraction is 1.56 is immersed in a liquid. The surface of the glass is inclined at an angle of 42.0° with the vertical. A horizontal ray in the glass is incident on the interface. When the liquid is a certain alcohol, the incident ray arrives at the interface at the critical angle. What is the index of refraction of the alcohol?


A) 1.04
B) 1.02
C) 1.00
D) 0.984
E) 1.06

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A double-convex thin lens is made of glass with an index of refraction of 1.52. The radii of curvature of the faces of the lens are 60 cm and 72 cm. What is the focal length of the lens?


A) 70 cm
B) 63 cm
C) 75 cm
D) 66 cm
E) 58 cm

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