Question 1

The purpose of prescription glasses for a near-sighted person is to bring the apparent positions of distant objects

Accepted Answer

A) to the far point of the eye 
B) to the near point of the eye 
C) to the retina of the eye 
D) none of the above 
A) to the far point of the eye 
B) to the near point of the eye 
C) to the retina of the eye 
D) none of the above

Question 2

A contact lens is made of plastic with an index of refraction of 1.50.The lens has an outer radius of curvature of +2.0 cm and an inner radius of curvature of +2.5 cm.What are the focal length and the power of the lens?

Accepted Answer

+20 cm,+5.

Question 3

An object 50-cm high is placed 1.0 m in front of a converging lens whose focal length is 1.5 m.Determine the image height (in cm).

Accepted Answer

A) 77 
B) 150 
C) 52 
D) 17 
E) 83 
A) 77 
B) 150 
C) 52 
D) 17 
E) 83

Question 4

A far-sighted student has a near point of 1.0 m.Calculate the focal length (in cm)of the glasses needed so the near point will be normal (25 cm).

Accepted Answer

A) 72 
B) 25 
C) 33 
D) 100 
E) -33 
A) 72 
B) 25 
C) 33 
D) 100 
E) -33

Question 5

A convex mirror has a focal length of -20 cm.What is the position of the resulting image (in cm)if the image is upright and four times smaller than the object?

Accepted Answer

A) -100 
B) -25 
C) -50 
D) -15 
E) -10 
A) -100 
B) -25 
C) -50 
D) -15 
E) -10

Question 6

Bottles of perfume sometimes have thick glass (n = 1.5)walls which give the impression the volume is larger than it really is.Assume a cylindrical bottle with an inner radius of 1.0 cm and an outer radius of 2.0 cm.What percentage of the apparent volume is the real volume?

Accepted Answer

A) 95% 
B) 60% 
C) 80% 
D) 64% 
E) 75% 
A) 95% 
B) 60% 
C) 80% 
D) 64% 
E) 75%

Question 7

Which ray diagram is correct? The three rays in each diagram are distinguished by different types of lines.Hint: Check the behavior of each ray as it interacts with the lens.

Accepted Answer

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

Question 8

Which ray diagrams are correct? The three rays in each diagram are distinguished by different types of lines.Hint: Check the behavior of each ray as it interacts with the lens.

Accepted Answer

A) B and C 
B) C and D 
C) D and E 
D) C and E 
E) C,D and E 
A) B and C 
B) C and D 
C) D and E 
D) C and E 
E) C,D and E

Question 9

Of the possible statements that parallel rays are brought to a focus by a 
1)Concave mirror,
2)Convex mirror,
3)Converging lens,
4)Diverging lens,
The correct answer is

Accepted Answer

A) 1 and 2. 
B) 3 and 4. 
C) 1 and 3. 
D) 2 and 3. 
E) 2 and 4. 
A) 1 and 2. 
B) 3 and 4. 
C) 1 and 3. 
D) 2 and 3. 
E) 2 and 4.

Question 10

A 10-cm focal length converging lens is used to magnify small newspaper print 2.0 mm high.Calculate the height of the image (in mm)for the maximum magnification for a normal eye.

Accepted Answer

A) 3.5 
B) 7.0 
C) 9.2 
D) 12 
E) 2.5 
A) 3.5 
B) 7.0 
C) 9.2 
D) 12 
E) 2.5

Question 11

When you stand in front of a convex mirror,the image you see is

Accepted Answer

A) real and inverted. 
B) real and upright. 
C) virtual and inverted. 
D) virtual and upright. 
E) real and inverted if your distance from the mirror is greater than two focal lengths. 
A) real and inverted. 
B) real and upright. 
C) virtual and inverted. 
D) virtual and upright. 
E) real and inverted if your distance from the mirror is greater than two focal lengths.

Question 12

An object 20-cm high is placed 50.0 cm in front of a lens whose focal length is 5.00 cm.Where will the image be located (in cm)?

Accepted Answer

A) 5.13 
B) 5.56 
C) 5.72 
D) 5.93 
E) 4.55 
A) 5.13 
B) 5.56 
C) 5.72 
D) 5.93 
E) 4.55

Question 13

A concave mirror has a focal length of 20 cm.What is the position (in cm)of the object if the image is upright and is two times larger than the object?

Accepted Answer

A) 30 
B) 20 
C) 10 
D) 40 
E) 60 
A) 30 
B) 20 
C) 10 
D) 40 
E) 60

Question 14

A concave mirror with a radius of curvature of 1.0 m is illuminated by a candle located on the symmetry axis 3.0 m from the mirror.Where is the image of the candle?

Accepted Answer

60 cm in f

Question 15

A concave mirror has a focal length of 20 cm.What is the magnification if the object's distance is 100 cm?

Accepted Answer

A) 1/2 
B) 1/4 
C) -2 
D) 4 
E) -1/4 
A) 1/2 
B) 1/4 
C) -2 
D) 4 
E) -1/4

Question 16

An object is placed 25 cm in front of a lens of focal length 20 cm.60 cm past the first lens is a second lens of focal length 25 cm.What is the resulting magnification of the object in this setup?

Accepted Answer

A)  $- 1.6$ 
B)  $+ 8.0$ 
C)  $- 8.0$ 
D)  $+ 1.4$ 
E)  $- 1.2$ 
A)  $- 1.6$ 
B)  $+ 8.0$ 
C)  $- 8.0$ 
D)  $+ 1.4$ 
E)  $- 1.2$

Question 17

Suppose an object is placed 6.0 cm in front of a lens that has a focal length of 4.0 cm.Where is the image located? What are the magnification and the character of the image?

Accepted Answer

12 cm beyond the 4.0

Question 18

An object 15 cm high is placed 15 cm in front of a convex mirror with a focal length of-10 cm.What is the image height (in cm)?

Accepted Answer

A) 2 
B) 4 
C) 6 
D) 8 
E) 30 
A) 2 
B) 4 
C) 6 
D) 8 
E) 30

Question 19

A plane convex lens is made of glass (n = 1.5)with one flat surface and the other having a radius of 20 cm.What is the focal length (in cm)of the lens?

Accepted Answer

A) 20 
B) 30 
C) 40 
D) 10 
E) 50 
A) 20 
B) 30 
C) 40 
D) 10 
E) 50

Question 20

A convex mirror has a focal length of-20 cm.What is the object distance if the image distance is -10 cm?

Accepted Answer

A) 10 cm 
B) 40 cm 
C) 60 cm 
D) 20 cm 
E) 30 cm 
A) 10 cm 
B) 40 cm 
C) 60 cm 
D) 20 cm 
E) 30 cm

Exam 26: Image Formation by Mirrors and Lenses

The purpose of prescription glasses for a near-sighted person is to bring the apparent positions of distant objects

A contact lens is made of plastic with an index of refraction of 1.50.The lens has an outer radius of curvature of +2.0 cm and an inner radius of curvature of +2.5 cm.What are the focal length and the power of the lens?

An object 50-cm high is placed 1.0 m in front of a converging lens whose focal length is 1.5 m.Determine the image height (in cm).

A far-sighted student has a near point of 1.0 m.Calculate the focal length (in cm)of the glasses needed so the near point will be normal (25 cm).

A convex mirror has a focal length of -20 cm.What is the position of the resulting image (in cm)if the image is upright and four times smaller than the object?

Bottles of perfume sometimes have thick glass (n = 1.5)walls which give the impression the volume is larger than it really is.Assume a cylindrical bottle with an inner radius of 1.0 cm and an outer radius of 2.0 cm.What percentage of the apparent volume is the real volume?

Which ray diagram is correct? The three rays in each diagram are distinguished by different types of lines.Hint: Check the behavior of each ray as it interacts with the lens.

Which ray diagrams are correct? The three rays in each diagram are distinguished by different types of lines.Hint: Check the behavior of each ray as it interacts with the lens.

Of the possible statements that parallel rays are brought to a focus by a 1)Concave mirror, 2)Convex mirror, 3)Converging lens, 4)Diverging lens, The correct answer is

A 10-cm focal length converging lens is used to magnify small newspaper print 2.0 mm high.Calculate the height of the image (in mm)for the maximum magnification for a normal eye.

When you stand in front of a convex mirror,the image you see is

An object 20-cm high is placed 50.0 cm in front of a lens whose focal length is 5.00 cm.Where will the image be located (in cm)?

A concave mirror has a focal length of 20 cm.What is the position (in cm)of the object if the image is upright and is two times larger than the object?

A concave mirror with a radius of curvature of 1.0 m is illuminated by a candle located on the symmetry axis 3.0 m from the mirror.Where is the image of the candle?

A concave mirror has a focal length of 20 cm.What is the magnification if the object's distance is 100 cm?

An object is placed 25 cm in front of a lens of focal length 20 cm.60 cm past the first lens is a second lens of focal length 25 cm.What is the resulting magnification of the object in this setup?

Suppose an object is placed 6.0 cm in front of a lens that has a focal length of 4.0 cm.Where is the image located? What are the magnification and the character of the image?

An object 15 cm high is placed 15 cm in front of a convex mirror with a focal length of-10 cm.What is the image height (in cm)?

A plane convex lens is made of glass (n = 1.5)with one flat surface and the other having a radius of 20 cm.What is the focal length (in cm)of the lens?

A convex mirror has a focal length of-20 cm.What is the object distance if the image distance is -10 cm?

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