Question 1

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 2

The object in a ray diagram is perpendicular to the principal axis but does not have one end lying on the principal axis.The minimum number of rays that must be drawn in this ray diagram in order to determine the position of the image is

Accepted Answer

A) 1. 
B) 2. 
C) 3. 
D) 4. 
E) 5. 
A) 1. 
B) 2. 
C) 3. 
D) 4. 
E) 5.

Question 3

A concave mirror has a radius of curvature of 1.0 m.An object is placed 2.0 m in front of the mirror.Determine the location of the image (in cm).

Accepted Answer

A) 130 
B) 83 
C) 67 
D) 150 
E) 200 
A) 130 
B) 83 
C) 67 
D) 150 
E) 200

Question 4

A magnifying glass has a convex lens of focal length 15 cm.At what distance from a postage stamp should you hold this lens to get a magnification of +2.0?

Accepted Answer

The answer of A magnifying glass has a convex lens...

Question 5

A girl is sitting on the edge of a pier with her legs dangling over the water.Her soles are 80.0 cm above the surface of the water.A boy in the water looks up at her feet and wants to touch them with a reed.(nwater = 1.333. )He will see her soles as being

Accepted Answer

A) right at the water surface. 
B) 53.3 cm above the water surface. 
C) exactly 80.0 cm above the water surface. 
D) 107 cm above the water surface. 
E) an infinite distance above the water surface. 
A) right at the water surface. 
B) 53.3 cm above the water surface. 
C) exactly 80.0 cm above the water surface. 
D) 107 cm above the water surface. 
E) an infinite distance above the water surface.

Question 6

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

Accepted Answer

A) 15 
B) 25 
C) 50 
D) 100 
E) −15 
A) 15 
B) 25 
C) 50 
D) 100 
E) −15

Question 7

Bottles of perfume sometimes have thick glass (n = 1.5)walls which give the impression the volume is larger than it is.Assume a cylindrical bottle has an inner radius of 1.0 cm and an outer radius of 2.0 cm.How thick (in cm)would the wall appear if you could see a mark on the inside surface?

Accepted Answer

A) 0.80 
B) 0.51 
C) 0.72 
D) 80 
E) 12 
A) 0.80 
B) 0.51 
C) 0.72 
D) 80 
E) 12

Question 8

A clown 2 m tall looks at himself in a full-length mirror (floor-to-ceiling).Where in the mirror must he look to see his feet?

Accepted Answer

A) 1 m from the floor 
B) 50 cm from the floor 
C) 25 cm from the floor 
D) at the bottom of the mirror 
E) 1.5 m from the floor 
A) 1 m from the floor 
B) 50 cm from the floor 
C) 25 cm from the floor 
D) at the bottom of the mirror 
E) 1.5 m from the floor

Question 9

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 10

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 11

A concave mirror has a focal length of 20 cm.What is the magnification if the object and image distances are 10 cm and −20 cm respectively?

Accepted Answer

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

Question 12

The image of an object beneath the surface of a medium of refractive index n > 1 is seen in air by a person looking down on the surface.This image,formed by light rays leaving the flat refractive surface,is

Accepted Answer

A) real and closer to the viewer than the object. 
B) virtual and closer to the viewer than the object. 
C) real and farther from the viewer than the object. 
D) virtual and farther from the viewer than the object. 
E) virtual and the same distance from the viewer as the object. 
A) real and closer to the viewer than the object. 
B) virtual and closer to the viewer than the object. 
C) real and farther from the viewer than the object. 
D) virtual and farther from the viewer than the object. 
E) virtual and the same distance from the viewer as the object.

Question 13

An object is placed 15 cm in front of a diverging lens whose focal length is 12 cm.Where will the image be located (in cm)?

Accepted Answer

A) −6.7 
B) −7.2 
C) −0.15 
D) −60 
E) −5.0 
A) −6.7 
B) −7.2 
C) −0.15 
D) −60 
E) −5.0

Question 14

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 15

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 16

An object is placed 15 cm in front of a concave mirror with a focal length of 30 cm.What is the magnification?

Accepted Answer

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

Question 17

A telescope is constructed with two lenses separated by a distance of 25 cm.The focal length of the objective is 20 cm.The focal length of the eyepiece is 5 cm.Calculate the magnitude of the angular magnification of the telescope.

Accepted Answer

A) 6 
B) 4 
C) 8 
D) 10 
E) 5 
A) 6 
B) 4 
C) 8 
D) 10 
E) 5

Question 18

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 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 compound microscope is made with an objective lens (  
= 0)90 cm)and an eyepiece (  
= 1)1 cm).The lenses are separated by a distance of 10 cm.If an object is 1.0 cm in front of the objective lens,where will the final image of the eyepiece be located?

Accepted Answer

A) −30 
B) −15 
C) −23 
D) −11 
E) −9 
A) −30 
B) −15 
C) −23 
D) −11 
E) −9

Exam 36: Image Formation

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?

The object in a ray diagram is perpendicular to the principal axis but does not have one end lying on the principal axis.The minimum number of rays that must be drawn in this ray diagram in order to determine the position of the image is

A concave mirror has a radius of curvature of 1.0 m.An object is placed 2.0 m in front of the mirror.Determine the location of the image (in cm).

A magnifying glass has a convex lens of focal length 15 cm.At what distance from a postage stamp should you hold this lens to get a magnification of +2.0?

A girl is sitting on the edge of a pier with her legs dangling over the water.Her soles are 80.0 cm above the surface of the water.A boy in the water looks up at her feet and wants to touch them with a reed.(nwater = 1.333. )He will see her soles as being

A concave mirror has a focal length of 20 cm.What is the position (in cm)of the resulting image if the image is inverted 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 is.Assume a cylindrical bottle has an inner radius of 1.0 cm and an outer radius of 2.0 cm.How thick (in cm)would the wall appear if you could see a mark on the inside surface?

A clown 2 m tall looks at himself in a full-length mirror (floor-to-ceiling).Where in the mirror must he look to see his feet?

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

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.

A concave mirror has a focal length of 20 cm.What is the magnification if the object and image distances are 10 cm and −20 cm respectively?

The image of an object beneath the surface of a medium of refractive index n > 1 is seen in air by a person looking down on the surface.This image,formed by light rays leaving the flat refractive surface,is

An object is placed 15 cm in front of a diverging lens whose focal length is 12 cm.Where will the image be located (in cm)?

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)?

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.

An object is placed 15 cm in front of a concave mirror with a focal length of 30 cm.What is the magnification?

A telescope is constructed with two lenses separated by a distance of 25 cm.The focal length of the objective is 20 cm.The focal length of the eyepiece is 5 cm.Calculate the magnitude of the angular magnification of the telescope.

A concave mirror has a focal length of 20 cm.What is the magnification if the object's distance is 100 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 compound microscope is made with an objective lens ( = 0)90 cm)and an eyepiece ( = 1)1 cm).The lenses are separated by a distance of 10 cm.If an object is 1.0 cm in front of the objective lens,where will the final image of the eyepiece be located?

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A girl is sitting on the edge of a pier with her legs dangling over the water.Her soles are 80.0 cm above the surface of the water.A boy in the water looks up at her feet and wants to touch them with a reed.(n_water = 1.333. )He will see her soles as being