Question 1

A real image of an object placed 10 cm from a concave spherical mirror is formed 30 cm from the mirror.What is the radius of curvature of the mirror?

Accepted Answer

A) 10 cm 
B) 15 cm 
C) 20 cm 
D) 25 cm 
E) 30 cm 
A) 10 cm 
B) 15 cm 
C) 20 cm 
D) 25 cm 
E) 30 cm

Question 2

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.What is the height of the image?

Accepted Answer

A) 0.11 cm 
B) 1.0 cm 
C) 0.88 cm 
D) 2.0 cm 
E) 1.24 cm 
A) 0.11 cm 
B) 1.0 cm 
C) 0.88 cm 
D) 2.0 cm 
E) 1.24 cm

Question 3

A single concave spherical mirror is used to create an image of a 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.If the image is 0.88 cm tall,what is the height of the source?

Accepted Answer

A) 5.6 cm 
B) 7.1 cm 
C) 6.4 cm 
D) 6.8 cm 
E) 6.0 cm 
A) 5.6 cm 
B) 7.1 cm 
C) 6.4 cm 
D) 6.8 cm 
E) 6.0 cm

Question 4

A person sits 2.0 m in front of a plane mirror.What is the location of the image?

Accepted Answer

A) 2.0 m in front of the mirror 
B) 0.5 m in front of the mirror 
C) 2.0 m behind the mirror 
D) 0.5 m behind the mirror 
A) 2.0 m in front of the mirror 
B) 0.5 m in front of the mirror 
C) 2.0 m behind the mirror 
D) 0.5 m behind the mirror

Question 5

For a concave spherical mirror

Accepted Answer

A) the image is always virtual. 
B) the radius of curvature is always negative. 
C) the image is always upright. 
D) All are correct. 
E) None are correct 
A) the image is always virtual. 
B) the radius of curvature is always negative. 
C) the image is always upright. 
D) All are correct. 
E) None are correct

Question 6

What kind of images,virtual or real,are formed by a converging mirror when the object for the mirror is placed a distance away from the mirror that is between the center of curvature of the mirror and a distance away that is half of the center of curvature of the mirror?

Accepted Answer

A) real images 
B) virtual images 
C) The answer cannot be determined without knowing the height of the object. 
A) real images 
B) virtual images 
C) The answer cannot be determined without knowing the height of the object.

Question 7

Unpolarized light in air is reflected from a piece of flat glass at an angle of 58S1U1P1$\circ$S1S1P0 with respect to the normal.The reflected light is found to be completely polarized after the reflection.What is the index of refraction of the glass?

Accepted Answer

A) 1.2 
B) 1.3 
C) 1.4 
D) 1.6 
E) 1.9 
A) 1.2 
B) 1.3 
C) 1.4 
D) 1.6 
E) 1.9

Question 8

An object is placed at half the focal length f away from a concave spherical mirror.Where is the image?

Accepted Answer

A) at f in front of the mirror 
B) at f behind the mirror 
C) at f/2 in front of the mirror 
D) at f/2 behind the mirror 
E) at 2f in front of the mirror 
A) at f in front of the mirror 
B) at f behind the mirror 
C) at f/2 in front of the mirror 
D) at f/2 behind the mirror 
E) at 2f in front of the mirror

Question 9

The the frequency and wavelength of light in an optical fiber are 4.57 * 1014 Hz and 437 nm,respectively.What is the index of refraction of the optical fiber?

Accepted Answer

A) 1.27 
B) 1.61 
C) 1.42 
D) 0.666 
E) 1.50 
A) 1.27 
B) 1.61 
C) 1.42 
D) 0.666 
E) 1.50

Question 10

What is the speed of light in an optical fiber whose index of refraction is 1.265?

Accepted Answer

A) 1.539 * 108 m/s 
B) 1.828 * 108 m/s 
C) 2.372 * 108 m/s 
D) 2.651 * 108 m/s 
A) 1.539 * 108 m/s 
B) 1.828 * 108 m/s 
C) 2.372 * 108 m/s 
D) 2.651 * 108 m/s

Question 11

A metallic,spherical Christmas tree ornament has a diameter of 16.00 cm.If Saint Nicholas is by the fireplace,0.720 m away,where will he see his reflection relative to the surface of the ornament?

Accepted Answer

A) -7.2 cm 
B) -3.8 cm 
C) 4.2 cm 
D) 9.0 cm 
E) 21 cm 
A) -7.2 cm 
B) -3.8 cm 
C) 4.2 cm 
D) 9.0 cm 
E) 21 cm

Question 12

Which pair is exchanged in the reflection from a plane mirror? You may wish to draw a sketch in order to help you determine the proper answer.

Accepted Answer

A) right and left 
B) up and down 
C) front and back 
D) None are correct. 
E) More than one of these. 
A) right and left 
B) up and down 
C) front and back 
D) None are correct. 
E) More than one of these.

Question 13

A fiber optic cable consists of a glass core surrounded by a layer of material called the cladding further surrounded by a protective cover as shown in the drawing above.If the index of refraction of the core is n1 = 1.50 and the index of refraction of the cladding is n2 = 1.20,what is the critical angle (in degrees)for total internal reflection for light traveling in the core?

Accepted Answer

A) 17.0 
B) 22.6 
C) 30.0 
D) 39.9 
E) 53.1 
A) 17.0 
B) 22.6 
C) 30.0 
D) 39.9 
E) 53.1

Question 14

For a convex spherical mirror

Accepted Answer

A) the image is always virtual. 
B) the radius of curvature is always negative. 
C) the image is always upright. 
D) All are correct. 
A) the image is always virtual. 
B) the radius of curvature is always negative. 
C) the image is always upright. 
D) All are correct.

Question 15

Particular glass has an index of refraction of 1.650 for blue light of wavelength 430 nm and 1.615 for red light of wavelength 680 nm.Consider a beam containing these two colors incident on this piece of glass,at an angle of 30 degrees from the normal.What is the angle between the red and the blue beam in the glass?

Accepted Answer

A) 0 degrees 
B) 0.4 degrees 
C) 1.6 degrees 
D) 3.14 degrees 
E) 9.6 degrees 
A) 0 degrees 
B) 0.4 degrees 
C) 1.6 degrees 
D) 3.14 degrees 
E) 9.6 degrees

Question 16

What is the critical angle for total internal reflection for light entering water (n = 1.33)from air (n = 1.00)?

Accepted Answer

A) 41.3 degrees 
B) 48.7 degrees 
C) 90.0 degrees 
D) There is no such angle. 
A) 41.3 degrees 
B) 48.7 degrees 
C) 90.0 degrees 
D) There is no such angle.

Question 17

A coin rests at the bottom of a 2.00-m deep pool of water.The index of refraction for the water is 1.33.For someone looking directly down on the coin from above the water surface,the apparent distance from the surface of the water to the coin is

Accepted Answer

A) 1.23 m. 
B) 1.37 m. 
C) 1.50 m. 
D) 2.00 m. 
E) 2.66 m. 
A) 1.23 m. 
B) 1.37 m. 
C) 1.50 m. 
D) 2.00 m. 
E) 2.66 m.

Question 18

What is the critical angle for total internal reflection for light entering air (n = 1.00)from water (n = 1.33)?

Accepted Answer

A) 41.3 degrees 
B) 48.7 degrees 
C) 90.0 degrees 
D) There is no such angle. 
A) 41.3 degrees 
B) 48.7 degrees 
C) 90.0 degrees 
D) There is no such angle.

Question 19

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.Where is the image located?

Accepted Answer

A) 9.05 cm to the right of the mirror 
B) 7.24 cm to the left of the mirror 
C) 7.24 cm to the right of the mirror 
D) 18.3 cm to the right of the mirror 
E) 9.05 cm to the left of the mirror 
A) 9.05 cm to the right of the mirror 
B) 7.24 cm to the left of the mirror 
C) 7.24 cm to the right of the mirror 
D) 18.3 cm to the right of the mirror 
E) 9.05 cm to the left of the mirror

Question 20

Which of these approaches will most effectively reduce spherical aberration in a mirror?

Accepted Answer

A) use a larger mirror 
B) use only a single wavelength of light to form the image 
C) block light at edges of mirror 
D) block light at center of mirror 
A) use a larger mirror 
B) use only a single wavelength of light to form the image 
C) block light at edges of mirror 
D) block light at center of mirror

Exam 32: Geometric Optics

A real image of an object placed 10 cm from a concave spherical mirror is formed 30 cm from the mirror.What is the radius of curvature of the mirror?

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.What is the height of the image?

A single concave spherical mirror is used to create an image of a 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.If the image is 0.88 cm tall,what is the height of the source?

A person sits 2.0 m in front of a plane mirror.What is the location of the image?

For a concave spherical mirror

What kind of images,virtual or real,are formed by a converging mirror when the object for the mirror is placed a distance away from the mirror that is between the center of curvature of the mirror and a distance away that is half of the center of curvature of the mirror?

Unpolarized light in air is reflected from a piece of flat glass at an angle of 58 ∘\circ∘ with respect to the normal.The reflected light is found to be completely polarized after the reflection.What is the index of refraction of the glass?

An object is placed at half the focal length f away from a concave spherical mirror.Where is the image?

The the frequency and wavelength of light in an optical fiber are 4.57 * 1014 Hz and 437 nm,respectively.What is the index of refraction of the optical fiber?

What is the speed of light in an optical fiber whose index of refraction is 1.265?

A metallic,spherical Christmas tree ornament has a diameter of 16.00 cm.If Saint Nicholas is by the fireplace,0.720 m away,where will he see his reflection relative to the surface of the ornament?

Which pair is exchanged in the reflection from a plane mirror? You may wish to draw a sketch in order to help you determine the proper answer.

For a convex spherical mirror

What is the critical angle for total internal reflection for light entering water (n = 1.33)from air (n = 1.00)?

A coin rests at the bottom of a 2.00-m deep pool of water.The index of refraction for the water is 1.33.For someone looking directly down on the coin from above the water surface,the apparent distance from the surface of the water to the coin is

What is the critical angle for total internal reflection for light entering air (n = 1.00)from water (n = 1.33)?

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.Where is the image located?

Which of these approaches will most effectively reduce spherical aberration in a mirror?

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Unpolarized light in air is reflected from a piece of flat glass at an angle of 58^$\circ$ with respect to the normal.The reflected light is found to be completely polarized after the reflection.What is the index of refraction of the glass?

The the frequency and wavelength of light in an optical fiber are 4.57 * 10¹⁴ Hz and 437 nm,respectively.What is the index of refraction of the optical fiber?