Question 1

What is the uncorrected near point of a farsighted person who can comfortably read a newspaper held 25 cm from his eyes when he wears +3.33-diopter contact lenses?

Accepted Answer

A) 1.5 m 
B) 0.50 m 
C) 1.9 m 
D) 0.75 m 
E) 0.60 m 
A) 1.5 m 
B) 0.50 m 
C) 1.9 m 
D) 0.75 m 
E) 0.60 m

Question 2

If the lens in a person's eye is too highly curved,this person is suffering from

Accepted Answer

A) farsightedness. 
B) spherical aberration. 
C) astigmatism. 
D) chromatic aberration. 
E) nearsightedness. 
A) farsightedness. 
B) spherical aberration. 
C) astigmatism. 
D) chromatic aberration. 
E) nearsightedness.

Question 3

A person uses a convex lens of focal length 5.0 cm as a magnifying glass.What is the angular magnification if the person's eye is relaxed and has a near point of 25 cm?

Accepted Answer

A) 4.0 
B) 5.0 
C) 6.0 
D) 7.0 
A) 4.0 
B) 5.0 
C) 6.0 
D) 7.0

Question 4

A laser beam strikes a plane mirror's reflecting surface with an angle of incidence of 43°.What is the angle between the incident ray and the reflected ray?

Accepted Answer

A) 43° 
B) 86° 
C) 45° 
D) 90° 
E) 0° 
A) 43° 
B) 86° 
C) 45° 
D) 90° 
E) 0°

Question 5

A farsighted person cannot see clearly objects that are closer to her eyes than 60.0 cm.Which one of the following combinations represents the correct focal length and the refractive power of the contact lenses that will enable her to comfortably see the objects at a distance of 25.0 cm from her eyes?

Accepted Answer

A) -42.9 cm, +2.33 diopters 
B) -42.9 cm, -2.33 diopters 
C) +42.9 cm, +2.33 diopters 
D) +42.9 cm, -2.33 diopters 
E) +60 cm, +42.9 diopters 
A) -42.9 cm, +2.33 diopters 
B) -42.9 cm, -2.33 diopters 
C) +42.9 cm, +2.33 diopters 
D) +42.9 cm, -2.33 diopters 
E) +60 cm, +42.9 diopters

Question 6

An astronomical refracting telescope is made from two lenses.The objective lens has a focal length of $114 \mathrm {~cm} \text {, }$ and the eyepiece lens has a focal length of $17.0 \mathrm {~cm} \text {. }$ (a)What is the total length of the telescope? (b)What is the angular magnification of the telescope?
(c)What is the magnification by turning the telescope around and looking through the objective lens first?

Accepted Answer

A) (a)131 cm (b)6.71
(c)0.15 
B) (a)97 cm (b)0.15
(c)6.71 
C) (a)262 cm (b)0.87
(c)1.15 
D) (a)194 cm (b)1.18
(c)0.85 
A) (a)131 cm (b)6.71
(c)0.15 
B) (a)97 cm (b)0.15
(c)6.71 
C) (a)262 cm (b)0.87
(c)1.15 
D) (a)194 cm (b)1.18
(c)0.85

Question 7

A nearsighted person has a near point of 12 cm and a far point of 17 cm.If the corrective lens is 2.0 cm from his eye,(a)what lens power will enable this person to see distant objects clearly,and (b)what then will be the new near point of his eye?

Accepted Answer

(a)-6.7 di

Question 8

As you walk away from a plane mirror on a wall,the height of your image

Accepted Answer

A) gets smaller. 
B) may or may not get smaller, depending on where the observer is positioned. 
C) is always a real image, no matter how far you are from the mirror. 
D) changes from being a virtual image to a real image as you pass the focal point. 
E) is always the same size. 
A) gets smaller. 
B) may or may not get smaller, depending on where the observer is positioned. 
C) is always a real image, no matter how far you are from the mirror. 
D) changes from being a virtual image to a real image as you pass the focal point. 
E) is always the same size.

Question 9

Sometimes when you look into a curved mirror you see a magnified image (a great big you)and sometimes you see a diminished image (a little you).If you look at the bottom (convex)side of a shiny spoon,what will you see?

Accepted Answer

A) You won't see an image of yourself because no image will be formed. 
B) You will see a little you, upside down. 
C) You will see a little you, right side up. 
D) You will see a little you, but whether you are right side up or upside down depends on how near you are to the spoon. 
E) You will either see a little you or a great big you, depending on how near you are to the spoon. 
A) You won't see an image of yourself because no image will be formed. 
B) You will see a little you, upside down. 
C) You will see a little you, right side up. 
D) You will see a little you, but whether you are right side up or upside down depends on how near you are to the spoon. 
E) You will either see a little you or a great big you, depending on how near you are to the spoon.

Question 10

An object that is 2.0 cm tall is placed at the center of curvature in front of a concave mirror.How tall is its image?

Accepted Answer

A) 0.50 cm 
B) 1.0 cm 
C) 1.5 cm 
D) 2.0 cm 
E) infinite 
A) 0.50 cm 
B) 1.0 cm 
C) 1.5 cm 
D) 2.0 cm 
E) infinite

Question 11

The focal length of a converging lens is 10 cm.What is the angular magnification of this lens if the image is viewed by a relaxed eye with a near point of 25 cm?

Accepted Answer

A) 0.50 
B) 1.5 
C) 2.5 
D) 3.5 
E) 4.5 
A) 0.50 
B) 1.5 
C) 2.5 
D) 3.5 
E) 4.5

Question 12

If an object is placed at the center of curvature of concave mirror,the image formed by the mirror is located

Accepted Answer

A) out beyond the center of curvature. 
B) at the center of curvature. 
C) between the center of curvature and the focal point. 
D) at the focal point. 
E) at infinity. 
A) out beyond the center of curvature. 
B) at the center of curvature. 
C) between the center of curvature and the focal point. 
D) at the focal point. 
E) at infinity.

Question 13

To maximize the magnification of a refracting telescope,what lenses should you choose?

Accepted Answer

A) The objective lens and eyepiece should both have small focal lengths. 
B) The objective lens and eyepiece should both have large focal lengths. 
C) The objective lens should have a small focal length and the eyepiece should have a large focal length. 
D) The objective lens should have a large focal length and the eyepiece should have a small focal length. 
E) The objective lens should have a large focal length, but it doesn't matter what the focal length of the eyepiece is. 
A) The objective lens and eyepiece should both have small focal lengths. 
B) The objective lens and eyepiece should both have large focal lengths. 
C) The objective lens should have a small focal length and the eyepiece should have a large focal length. 
D) The objective lens should have a large focal length and the eyepiece should have a small focal length. 
E) The objective lens should have a large focal length, but it doesn't matter what the focal length of the eyepiece is.

Question 14

You have available lenses of focal lengths 2.0 cm,4.0 cm,8.0 cm,and 16.0 cm.If you could use any two of these lenses to build a telescope,what is the maximum magnification you could achieve for comfortable viewing of a planet?

Accepted Answer

A) 2.0 
B) 4.0 
C) 6.0 
D) 8.0 
A) 2.0 
B) 4.0 
C) 6.0 
D) 8.0

Question 15

An object that is 4.00 cm tall is placed 18.0 cm in front of a concave mirror having a focal length of 20.0 cm.What is the location of its image in relation to the mirror and what are its characteristics?

Accepted Answer

A) 180 cm on the other side of mirror, real, 6.00 times bigger 
B) 10 cm on the other side of mirror, virtual, 10.0 times bigger 
C) 18 cm on the same side of mirror, virtual, 2.25 times bigger 
D) 20 cm on the same side of mirror, real, 10.0 times bigger 
E) 180 cm on the other side of mirror, virtual, 10.0 times bigger 
A) 180 cm on the other side of mirror, real, 6.00 times bigger 
B) 10 cm on the other side of mirror, virtual, 10.0 times bigger 
C) 18 cm on the same side of mirror, virtual, 2.25 times bigger 
D) 20 cm on the same side of mirror, real, 10.0 times bigger 
E) 180 cm on the other side of mirror, virtual, 10.0 times bigger

Question 16

A concave spherical mirror has a focal length of magnitude 20 cm.An object is placed 30 cm in front of the mirror on the mirror's axis.Where is the image located?

Accepted Answer

A) 12 cm behind the mirror 
B) 12 cm in front of the mirror 
C) 60 cm behind the mirror 
D) 60 cm in front of the mirror 
A) 12 cm behind the mirror 
B) 12 cm in front of the mirror 
C) 60 cm behind the mirror 
D) 60 cm in front of the mirror

Question 17

Two plane mirrors make an angle of $30 ^ { \circ }$ with each other.A light ray enters the system and is reflected once off of each mirror.Through what angle is the ray turned?

Accepted Answer

A) 60° 
B) 90° 
C) 120° 
D) 150° 
A) 60° 
B) 90° 
C) 120° 
D) 150°

Question 18

A cell phone is placed 40 cm in front of a convex lens with a focal length of magnitude 20 cm.How far is the image of this phone from the lens?

Accepted Answer

A) 40 cm 
B) 20 cm 
C) 13 cm 
D) 60 cm 
E) 10 cm 
A) 40 cm 
B) 20 cm 
C) 13 cm 
D) 60 cm 
E) 10 cm

Question 19

The focal lengths of the objective lens and the eyepiece of a microscope are 0.50 cm and 2.0 cm,respectively,and their separation is 6.0 cm when adjusted for minimum eyestrain for a person with a near point of 25.0 cm.If the microscope is focused on a small object,the magnitude of its final overall magnification is closest to

Accepted Answer

A) 50. 
B) 100. 
C) 150. 
D) 200. 
E) 250. 
A) 50. 
B) 100. 
C) 150. 
D) 200. 
E) 250.

Question 20

The near point of a farsighted person is 100 cm.She places reading glasses very close to her eyes,and with them she can comfortably read a book at a distance of 25 cm.What is the power of the lenses in her reading glasses?

Accepted Answer

A) +2.5 diopters 
B) +3.0 diopters 
C) +3.2 diopters 
D) -2.0 diopters 
A) +2.5 diopters 
B) +3.0 diopters 
C) +3.2 diopters 
D) -2.0 diopters

Exam 23: Mirrors and Lenses

What is the uncorrected near point of a farsighted person who can comfortably read a newspaper held 25 cm from his eyes when he wears +3.33-diopter contact lenses?

If the lens in a person's eye is too highly curved,this person is suffering from

A person uses a convex lens of focal length 5.0 cm as a magnifying glass.What is the angular magnification if the person's eye is relaxed and has a near point of 25 cm?

A laser beam strikes a plane mirror's reflecting surface with an angle of incidence of 43°.What is the angle between the incident ray and the reflected ray?

A nearsighted person has a near point of 12 cm and a far point of 17 cm.If the corrective lens is 2.0 cm from his eye,(a)what lens power will enable this person to see distant objects clearly,and (b)what then will be the new near point of his eye?

As you walk away from a plane mirror on a wall,the height of your image

Sometimes when you look into a curved mirror you see a magnified image (a great big you)and sometimes you see a diminished image (a little you).If you look at the bottom (convex)side of a shiny spoon,what will you see?

An object that is 2.0 cm tall is placed at the center of curvature in front of a concave mirror.How tall is its image?

The focal length of a converging lens is 10 cm.What is the angular magnification of this lens if the image is viewed by a relaxed eye with a near point of 25 cm?

If an object is placed at the center of curvature of concave mirror,the image formed by the mirror is located

To maximize the magnification of a refracting telescope,what lenses should you choose?

You have available lenses of focal lengths 2.0 cm,4.0 cm,8.0 cm,and 16.0 cm.If you could use any two of these lenses to build a telescope,what is the maximum magnification you could achieve for comfortable viewing of a planet?

An object that is 4.00 cm tall is placed 18.0 cm in front of a concave mirror having a focal length of 20.0 cm.What is the location of its image in relation to the mirror and what are its characteristics?

A concave spherical mirror has a focal length of magnitude 20 cm.An object is placed 30 cm in front of the mirror on the mirror's axis.Where is the image located?

Two plane mirrors make an angle of 30∘30 ^ { \circ }30∘ with each other.A light ray enters the system and is reflected once off of each mirror.Through what angle is the ray turned?

A cell phone is placed 40 cm in front of a convex lens with a focal length of magnitude 20 cm.How far is the image of this phone from the lens?

The near point of a farsighted person is 100 cm.She places reading glasses very close to her eyes,and with them she can comfortably read a book at a distance of 25 cm.What is the power of the lenses in her reading glasses?

Introduction

Kinematics: Motion in One Dimension

Newtonian Mechanics

Applying Newtons Laws

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Extended Bodies at Rest

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Filters

Two plane mirrors make an angle of $30 ^ { \circ }$ with each other.A light ray enters the system and is reflected once off of each mirror.Through what angle is the ray turned?