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An object is 50 cm from a concave mirror.The size of the real image is ½ the size of the object.The radius of curvature of the mirror is


A) 12.9 cm.
B) 16.7 cm.
C) 25.0 cm.
D) 33.3 cm.

E) None of the above
F) All of the above

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Light from a green laser pointer (wavelength in air is 532 nm) travels into water (n = 1.33) .What is the speed,wavelength,and frequency while the light is inside water. Light from a green laser pointer (wavelength in air is 532 nm) travels into water (n = 1.33) .What is the speed,wavelength,and frequency while the light is inside water.   A) Option A B) Option B C) Option C D) Option D E) Option E


A) Option A
B) Option B
C) Option C
D) Option D
E) Option E

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

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A beam of light is incident at the polarizing angle on a glass plate.If Brewster's angle is 55.4 \circ what is the index of refraction of the glass?


A) 1.55
B) 1.60
C) 1.50
D) 1.40
E) 1.45

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

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Light is incident on a heavy glass slab of refractive index 1.6.The speed of light in the glass is


A) 3.0 * 108 m/s.
B) 2.5 * 108 m/s.
C) 1.88 * 108 m/s.
D) 1.5 * 10-8 m/s.

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

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When light travels across the interface from a material with a higher index of refraction to a material with a lower index of refraction,which of the following statements is always true?


A) The light never bends away from the interface between the two materials.
B) The light never bends toward the interface between the two materials.
C) The light never travels in a straight line across the interface between the two materials.
D) The light never speeds up.

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

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An incident ray makes an angle of 30 \circ with the horizontal in air as it hits a piece of glass with an index of refraction nglass = 1.52.How much does the ray deviate from its path inside the glass?  An incident ray makes an angle of 30<sup> \circ </sup> with the horizontal in air as it hits a piece of glass with an index of refraction n<sub>glass</sub> = 1.52.How much does the ray deviate from its path inside the glass?   A) 10.5<sup> \circ </sup> B) 25.3<sup> \circ </sup> C) 14.7<sup> \circ </sup> D) 45.2<sup> \circ </sup> E) 0<sup> \circ </sup>


A) 10.5 \circ
B) 25.3 \circ
C) 14.7 \circ
D) 45.2 \circ
E) 0 \circ

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

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B

A concave spherical mirror has radius 25 cm.An object is placed at the mirror's center.Where is its image?


A) at the focal point
B) at the center of the mirror
C) at twice the focal length away from the mirror
D) A and B are correct.
E) B and C are correct.

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

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Convex mirrors are often used in side-view mirrors on trucks.Such mirrors often warn "Objects in mirror are closer than they appear." Assume a convex mirror has a radius of curvature of 12.0 m and that there is a car that is 14.0 m behind the mirror.Find the magnitude of the distance between the mirror and the image of the car.


A) 4.2 m
B) 6.5 m
C) 10.5 m
D) 14 m
E) 16.2 m

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

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A ray of light is incident on an equilateral triangular prism with an index of refraction of 1.23.The ray is parallel to the base of the prism when before it enters the prism as shown in the figure.What is the angle of the ray relative to the normal when it emerges from the triangular prism? (Assume that the ray does not exit from the base.)  A ray of light is incident on an equilateral triangular prism with an index of refraction of 1.23.The ray is parallel to the base of the prism when before it enters the prism as shown in the figure.What is the angle of the ray relative to the normal when it emerges from the triangular prism? (Assume that the ray does not exit from the base.)    A) 24<sup> \circ </sup> B) 30<sup> \circ </sup> C) 46<sup> \circ </sup> D) 54<sup> \circ </sup> E) 62<sup> \circ </sup>


A) 24 \circ
B) 30 \circ
C) 46 \circ
D) 54 \circ
E) 62 \circ

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

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An object is located 40 cm in front of a concave mirror of focal length 12.5 cm.Where is the image located?


A) 12.5 cm
B) 10.5 cm
C) 20.0 cm
D) 29.1 cm
E) 18.2 cm

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

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E

Which of the following interface combinations have the smallest critical angle?


A) light traveling from ice to diamond
B) light traveling from quartz to lucite
C) light traveling from diamond to glass
D) light traveling from Lucite to diamond
E) light traveling from Lucite to quartz

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

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At what angle with the normal to the surface of the water must a beam of light enter the water so that the refracted beam makes an angle of 10 \circ to the normal of the water?


A) 10 \circ
B) 13 \circ
C) 15 \circ
D) 17 \circ
E) 20 \circ

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

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A single convex spherical mirror is used to create an image of a 10.0-cm tall source that is located 35.0 cm to the left of the mirror.The magnitude of the radius of curvature for the mirror is 15.0 cm.Where does the image form?


A) 6.2 cm to the left of the mirror
B) 6.2 cm to the right of the mirror
C) 26.2 cm to the left of the mirror
D) 26.2 cm to the right of the mirror
E) 35.4 cm to the right of the mirror

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

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The figure shows the boundary between two transparent materials with indexes of refraction n1 and n2.Ray A is found to suffer total internal reflection.Which one statement is correct? The figure shows the boundary between two transparent materials with indexes of refraction n<sub>1</sub> and n<sub>2</sub>.Ray A is found to suffer total internal reflection.Which one statement is correct?   A) n<sub>2</sub> > n<sub>1</sub> B) Rays B and D must also suffer total internal reflection. C) Ray E must be totally internally reflected. D) Ray B may be totally internally reflected. E) Ray C may be totally internally reflected.


A) n2 > n1
B) Rays B and D must also suffer total internal reflection.
C) Ray E must be totally internally reflected.
D) Ray B may be totally internally reflected.
E) Ray C may be totally internally reflected.

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

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A beam of light is incident at the polarizing angle on a hard glass plate of refractive index 1.6.The Brewster's angle of refraction is


A) 58 \circ .
B) 32 \circ .
C) 29 \circ .
D) 18 \circ .

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

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A

A periscope consists of two flat mirrors and is used for viewing objects when an obstacle impedes the direct viewing.Suppose that Curios George is looking through a periscope at the man with the yellow hat whose hat is at do = 2.0 m from the upper mirror and that the two flat mirrors are separated by a distance L = 0.5 m.What is the distance D of the final image of the yellow hat from the lower mirror?


A) 1.0 m
B) 1.5 m
C) 2.0 m
D) 2.5 m
E) 3.0 m

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

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Which kind of curved mirror never suffers from spherical aberration?


A) convex
B) concave
C) circular
D) None are correct.

E) A) and C)
F) None of the above

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A collimated laser beam moves downward an angle 20.0 \circ with respect to horizontal and strikes the left side of a ZnSe block.The block has an index of refraction of 2.44 and is surrounded by air with an index of 1.00.The left side of the glass block is vertical (90.0 \circ from horizontal) while the right side of the block slopes upward at an angle of 75.0 \circ from horizontal,i.e.,the block is thicker at the top than at the bottom.Determine the angle with respect to horizontal at which the light travels after it exits the right surface of the block.


A) 2.2 \circ
B) 0 \circ
C) 17 \circ
D) 8.1 \circ
E) 15 \circ

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

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The speed of light with wavelength 589.3 nm through an unknown uniform solid sample is 1.241 * 108 m/s.Identify the solid.


A) fused quartz
B) typical glass
C) quartz
D) diamond

E) A) and D)
F) C) and D)

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Light with a frequency of 6 * 1016 Hz is traveling in a material with index of refraction n = 1.5.What is its wavelength in this material?


A) 1.0 nm
B) 2.0 nm
C) 2.5 nm
D) 3.3 nm
E) 4.0 nm

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

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