Question 1

An object is placed 40 cm from a concave mirror with radius of curvature 50 cm.The image will be

Accepted Answer

A) real,upright,and enlarged. 
B) real,upright,and diminished. 
C) real,inverted,and enlarged. 
D) real,inverted,and diminished. 
E) None are correct. 
A) real,upright,and enlarged. 
B) real,upright,and diminished. 
C) real,inverted,and enlarged. 
D) real,inverted,and diminished. 
E) None are correct.

Question 2

Light hits the surface of water (n = 1.33)at an incident angle of 25.0 degrees with respect to the normal line.What is the angle between the reflected ray and the refracted ray?

Accepted Answer

A) 18.5 degrees 
B) 43.5 degrees 
C) 83.5 degrees 
D) 96.5 degrees 
E) 136.5 degrees 
A) 18.5 degrees 
B) 43.5 degrees 
C) 83.5 degrees 
D) 96.5 degrees 
E) 136.5 degrees

Question 3

A collimated laser beam moves upward an angle 20.0S1U1P1$\circ$S1S1P0 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 (90.0S1U1P1$\circ$S1S1P0 from horizontal)while the right side of the block slopes upward at an angle of 75.0S1U1P1$\circ$S1S1P0 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.

Accepted Answer

A) 58S1U1P1$\circ$S1S1P0 
B) 73S1U1P1$\circ$S1S1P0 
C) 0S1U1P1$\circ$S1S1P0 
D) 2.2S1U1P1$\circ$S1S1P0 
E) 88S1U1P1$\circ$S1S1P0 
A) 58S1U1P1$\circ$S1S1P0 
B) 73S1U1P1$\circ$S1S1P0 
C) 0S1U1P1$\circ$S1S1P0 
D) 2.2S1U1P1$\circ$S1S1P0 
E) 88S1U1P1$\circ$S1S1P0

Question 4

A concave mirror has a radius of curvature of 30 cm.An object is located 45 cm in front of the mirror.Where is the image formed,and what are its properties?

Accepted Answer

A) The image is located at 22.5 cm in front of the mirror and is erect. 
B) The image is located at 22.5 cm behind the mirror and is erect. 
C) The image is located at 22.5 cm in front of the mirror and is inverted. 
D) The image is located at 22.5 cm behind the mirror and is inverted. 
E) No image is formed in this case. 
A) The image is located at 22.5 cm in front of the mirror and is erect. 
B) The image is located at 22.5 cm behind the mirror and is erect. 
C) The image is located at 22.5 cm in front of the mirror and is inverted. 
D) The image is located at 22.5 cm behind the mirror and is inverted. 
E) No image is formed in this case.

Question 5

A green laser beam and a red laser beam are directed onto the surface of a pool of water at an angle of 28S1U1P1$\circ$S1S1P0 to the normal.Which of the following are true?

Accepted Answer

A) The beams continue along their original paths. 
B) Both beams are bent away from the normal,but the green beam is bent more. 
C) Both beams are bent away from the normal,but the red beam is bent more. 
D) Both beams are bent towards the normal,but the green beam is bent more. 
E) Both beams are bent towards the normal,but the red beam is bent more. 
A) The beams continue along their original paths. 
B) Both beams are bent away from the normal,but the green beam is bent more. 
C) Both beams are bent away from the normal,but the red beam is bent more. 
D) Both beams are bent towards the normal,but the green beam is bent more. 
E) Both beams are bent towards the normal,but the red beam is bent more.

Question 6

A single concave spherical mirror is used to create an image of a 6.00-cm tall source.The source is located 23.0 cm to the left of the mirror's center of curvature.The magnitude of the radius of curvature for the mirror is 12.0 cm.Calculate the magnification.

Accepted Answer

A) +0.52 
B) +0.35 
C) -0.21 
D) -0.35 
E) -0.52 
A) +0.52 
B) +0.35 
C) -0.21 
D) -0.35 
E) -0.52

Question 7

A beam of light enters a liquid solution from air at an angle of 35S1U1P1$\circ$S1S1P0 with the normal to its surface.The refracted beam makes an angle of 24S1U1P1$\circ$S1S1P0 to the normal of the liquid.What is the index of refraction for the liquid?

Accepted Answer

A) 1.1 
B) 1.4 
C) 1.5 
D) 1.7 
E) 2.0 
A) 1.1 
B) 1.4 
C) 1.5 
D) 1.7 
E) 2.0

Question 8

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.If the image of the man is di = 2.75 m away from the lower mirror,what is the distance between the two mirrors?

Accepted Answer

A) 0.75 m 
B) 1.15 m 
C) 0.50 m 
D) 1.5 m 
E) 4.75 m 
A) 0.75 m 
B) 1.15 m 
C) 0.50 m 
D) 1.5 m 
E) 4.75 m

Question 9

Standing by the pool filled with water,under what condition will you see the reflection of the scenery on the opposite side through total internal reflection of the image?

Accepted Answer

A) if you put your eyes level with the water 
B) if you observe the pool at an angle of 41.8 degrees 
C) under no condition 
D) if you observe the pool at an angle of 48.2 degrees 
A) if you put your eyes level with the water 
B) if you observe the pool at an angle of 41.8 degrees 
C) under no condition 
D) if you observe the pool at an angle of 48.2 degrees

Question 10

An optical fiber with an index of refraction of 1.5 is used to transport light of wavelength 400 nm.What is the critical angle for light to transport through this fiber without loss if the fiber is immersed in water?

Accepted Answer

A) 30S1U1P1$\circ$S1S1P0 
B) 40S1U1P1$\circ$S1S1P0 
C) 50S1U1P1$\circ$S1S1P0 
D) 60S1U1P1$\circ$S1S1P0 
E) 70S1U1P1$\circ$S1S1P0 
A) 30S1U1P1$\circ$S1S1P0 
B) 40S1U1P1$\circ$S1S1P0 
C) 50S1U1P1$\circ$S1S1P0 
D) 60S1U1P1$\circ$S1S1P0 
E) 70S1U1P1$\circ$S1S1P0

Question 11

A ray of light in air with a wavelength of 600 nm is incident on a liquid with an index of refraction of 1.5.The ray of light makes an angle of 45 degrees with the normal when it enters the liquid.What is the wavelength of the ray of light in the liquid?

Accepted Answer

A) 280 nm 
B) 400 nm 
C) 600 nm 
D) 900 nm 
E) 1300 nm 
A) 280 nm 
B) 400 nm 
C) 600 nm 
D) 900 nm 
E) 1300 nm

Question 12

The critical angle for total internal reflection for light entering water (n = 1.33)from oil is 61S1U1P1$\circ$S1S1P0.What is the index of refraction of the oil?

Accepted Answer

A) 1.52 
B) 1.39 
C) 1.14 
D) 1.61 
A) 1.52 
B) 1.39 
C) 1.14 
D) 1.61

Question 13

The the frequency and wavelength of light in an optical fiber are 4.57  *1014 Hz and 437 nm,respectively.What is the critical angle for light in this optical fiber,if the fiber is surrounded by water (n=1.33)?

Accepted Answer

A) 57.9S1U1P1$\circ$S1S1P0 
B) 62.3S1U1P1$\circ$S1S1P0 
C) 48.8S1U1P1$\circ$S1S1P0 
D) 41.7S1U1P1$\circ$S1S1P0 
E) 65.4S1U1P1$\circ$S1S1P0 
A) 57.9S1U1P1$\circ$S1S1P0 
B) 62.3S1U1P1$\circ$S1S1P0 
C) 48.8S1U1P1$\circ$S1S1P0 
D) 41.7S1U1P1$\circ$S1S1P0 
E) 65.4S1U1P1$\circ$S1S1P0

Question 14

If n1 = 1.3 and n2 = 2.2,what is the condition for the angle $\theta$ for no light escaping?

Accepted Answer

A) $\theta$ > 54S1U1P1$\circ$S1S1P0 B) $\theta$ 36S1U1P1$\circ$S1S1P0 D) $\theta$ < 36S1U1P1$\circ$S1S1P0 E) Light escapes for all $\theta$. A) $\theta$ > 54S1U1P1$\circ$S1S1P0 B) $\theta$ 36S1U1P1$\circ$S1S1P0 D) $\theta$ < 36S1U1P1$\circ$S1S1P0 E) Light escapes for all $\theta$.

Question 15

A cladded optical fiber for transmitting red light is constructed by placing a cladding material around a round plastic optical fiber.If the index of refraction of the plastic fiber core is 1.6 and the index of refraction of the cladding is 1.2,what is the critical angle for light to transport through the plastic fiber core without loss?

Accepted Answer

A) 34S1U1P1$\circ$S1S1P0 
B) 39S1U1P1$\circ$S1S1P0 
C) 41S1U1P1$\circ$S1S1P0 
D) 49S1U1P1$\circ$S1S1P0 
E) 56S1U1P1$\circ$S1S1P0 
A) 34S1U1P1$\circ$S1S1P0 
B) 39S1U1P1$\circ$S1S1P0 
C) 41S1U1P1$\circ$S1S1P0 
D) 49S1U1P1$\circ$S1S1P0 
E) 56S1U1P1$\circ$S1S1P0

Question 16

Which of the following statements is incorrect?

Accepted Answer

A) A convex mirror never forms a real image of a real object. 
B) The image produced by a convex mirror is always closer to the mirror than it would be in a plane mirror for the same object distance. 
C) The virtual image formed by a convex mirror is always enlarged. 
D) When an object is placed between a concave mirror and its focal point,the image is virtual. 
A) A convex mirror never forms a real image of a real object. 
B) The image produced by a convex mirror is always closer to the mirror than it would be in a plane mirror for the same object distance. 
C) The virtual image formed by a convex mirror is always enlarged. 
D) When an object is placed between a concave mirror and its focal point,the image is virtual.

Question 17

The speed of light in an optical fiber is 1.83 * 108 m/s What is the index of refraction of the optical fiber?

Accepted Answer

A) 0.610 
B) 1.27 
C) 1.52 
D) 1.64 
E) 5.49 
A) 0.610 
B) 1.27 
C) 1.52 
D) 1.64 
E) 5.49

Question 18

For a concave mirror,when is the object distance equal to the image distance?

Accepted Answer

A) when the magnification is equal to zero 
B) when the focal length is equal to the image distance 
C) when the focal length is equal to half the object distance 
D) when the focal length is zero 
A) when the magnification is equal to zero 
B) when the focal length is equal to the image distance 
C) when the focal length is equal to half the object distance 
D) when the focal length is zero

Question 19

Light passing through water (n = 1.33)in an aquarium is incident upon the heavy glass tank wall (n = 1.625)and is partially reflected.At what angle of incidence is the reflected light fully polarized?

Accepted Answer

A) 55S1U1P1$\circ$S1S1P0 
B) 39S1U1P1$\circ$S1S1P0 
C) 51S1U1P1$\circ$S1S1P0 
D) 35S1U1P1$\circ$S1S1P0 
A) 55S1U1P1$\circ$S1S1P0 
B) 39S1U1P1$\circ$S1S1P0 
C) 51S1U1P1$\circ$S1S1P0 
D) 35S1U1P1$\circ$S1S1P0

Question 20

An optical fiber with index of refraction of 1.340 is surrounded by air.What is the critical angle for light to transport through this fiber without loss?

Accepted Answer

A) 12.56S1U1P1$\circ$S1S1P0 
B) 67.44S1U1P1$\circ$S1S1P0 
C) 35.62S1U1P1$\circ$S1S1P0 
D) 52.23S1U1P1$\circ$S1S1P0 
E) 48.27S1U1P1$\circ$S1S1P0 
A) 12.56S1U1P1$\circ$S1S1P0 
B) 67.44S1U1P1$\circ$S1S1P0 
C) 35.62S1U1P1$\circ$S1S1P0 
D) 52.23S1U1P1$\circ$S1S1P0 
E) 48.27S1U1P1$\circ$S1S1P0

Exam 32: Geometric Optics

An object is placed 40 cm from a concave mirror with radius of curvature 50 cm.The image will be

Light hits the surface of water (n = 1.33)at an incident angle of 25.0 degrees with respect to the normal line.What is the angle between the reflected ray and the refracted ray?

A concave mirror has a radius of curvature of 30 cm.An object is located 45 cm in front of the mirror.Where is the image formed,and what are its properties?

A green laser beam and a red laser beam are directed onto the surface of a pool of water at an angle of 28 ∘\circ∘ to the normal.Which of the following are true?

A single concave spherical mirror is used to create an image of a 6.00-cm tall source.The source is located 23.0 cm to the left of the mirror's center of curvature.The magnitude of the radius of curvature for the mirror is 12.0 cm.Calculate the magnification.

A beam of light enters a liquid solution from air at an angle of 35 ∘\circ∘ with the normal to its surface.The refracted beam makes an angle of 24 ∘\circ∘ to the normal of the liquid.What is the index of refraction for the liquid?

Standing by the pool filled with water,under what condition will you see the reflection of the scenery on the opposite side through total internal reflection of the image?

An optical fiber with an index of refraction of 1.5 is used to transport light of wavelength 400 nm.What is the critical angle for light to transport through this fiber without loss if the fiber is immersed in water?

A ray of light in air with a wavelength of 600 nm is incident on a liquid with an index of refraction of 1.5.The ray of light makes an angle of 45 degrees with the normal when it enters the liquid.What is the wavelength of the ray of light in the liquid?

The critical angle for total internal reflection for light entering water (n = 1.33)from oil is 61 ∘\circ∘ .What is the index of refraction of the oil?

The the frequency and wavelength of light in an optical fiber are 4.57 *1014 Hz and 437 nm,respectively.What is the critical angle for light in this optical fiber,if the fiber is surrounded by water (n=1.33)?

If n1 = 1.3 and n2 = 2.2,what is the condition for the angle θ\thetaθ for no light escaping?

Which of the following statements is incorrect?

The speed of light in an optical fiber is 1.83 * 108 m/s What is the index of refraction of the optical fiber?

For a concave mirror,when is the object distance equal to the image distance?

Light passing through water (n = 1.33)in an aquarium is incident upon the heavy glass tank wall (n = 1.625)and is partially reflected.At what angle of incidence is the reflected light fully polarized?

An optical fiber with index of refraction of 1.340 is surrounded by air.What is the critical angle for light to transport through this fiber without loss?

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A green laser beam and a red laser beam are directed onto the surface of a pool of water at an angle of 28^$\circ$ to the normal.Which of the following are true?

A beam of light enters a liquid solution from air at an angle of 35^$\circ$ with the normal to its surface.The refracted beam makes an angle of 24^$\circ$ to the normal of the liquid.What is the index of refraction for the liquid?

The critical angle for total internal reflection for light entering water (n = 1.33)from oil is 61^$\circ$.What is the index of refraction of the oil?

The the frequency and wavelength of light in an optical fiber are 4.57 *10¹⁴ Hz and 437 nm,respectively.What is the critical angle for light in this optical fiber,if the fiber is surrounded by water (n=1.33)?

If n₁ = 1.3 and n₂ = 2.2,what is the condition for the angle $\theta$ for no light escaping? $If n<sub>1</sub> = 1.3 and n<sub>2</sub> = 2.2,what is the condition for the angle \theta for no light escaping?$

The speed of light in an optical fiber is 1.83 * 10⁸ m/s What is the index of refraction of the optical fiber?