Question 1

When an object is placed 25 cm from a lens, a real image is formed.Which one of the following conclusions is incorrect?

Accepted Answer

A) The image is upright. 
B) The lens is a converging lens. 
C) The image may be reduced or enlarged. 
D) The image distance can be less than 25 cm. 
E) The focal length of the lens is less than 25 cm. 
A) The image is upright. 
B) The lens is a converging lens. 
C) The image may be reduced or enlarged. 
D) The image distance can be less than 25 cm. 
E) The focal length of the lens is less than 25 cm.

Question 2

Light that is incident upon the eye is refracted several times before it reaches the retina.As light passes through the eye, at which boundary does the majority of the overall refraction occur?

Accepted Answer

A) lens/aqueous humor 
B) air/cornea 
C) lens/vitreous humor 
D) aqueous humor/iris 
E) vitreous humor/retina 
A) lens/aqueous humor 
B) air/cornea 
C) lens/vitreous humor 
D) aqueous humor/iris 
E) vitreous humor/retina

Question 3

A ray of light passes from air into a block of glass with a refractive index of 1.59 as shown in the figure. Note: The drawing is not to scale.   What is the value of the distance D?

Accepted Answer

A) 1.42 cm 
B) 1.66 cm 
C) 1.93 cm 
D) 2.19 cm 
E) 2.38 cm 
A) 1.42 cm 
B) 1.66 cm 
C) 1.93 cm 
D) 2.19 cm 
E) 2.38 cm

Question 4

A 4-cm object is placed in front of a converging lens of focal length 20 cm.The image is formed 60 cm on the other side of the lens.Which entry in the table below is correct?

Accepted Answer

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

Question 5

When certain light rays pass from a vacuum into a block of an unknown material, the measured index of refraction of the material is 3.00.What is the speed of light inside the block?

Accepted Answer

A) 9.9 × 106 m/s 
B) 4.8 × 107 m/s 
C) 1.0 × 108 m/s 
D) 1.9 × 108 m/s 
E) 2.9 × 108 m/s 
A) 9.9 × 106 m/s 
B) 4.8 × 107 m/s 
C) 1.0 × 108 m/s 
D) 1.9 × 108 m/s 
E) 2.9 × 108 m/s

Question 6

Light propagates from soda lime glass (n = 1.518) into Pyrex glass (n = 1.473).Determine the critical angle for this situation.

Accepted Answer

A) 13.99° 
B) 45.86° 
C) 52.48° 
D) 65.22° 
E) 76.01° 
A) 13.99° 
B) 45.86° 
C) 52.48° 
D) 65.22° 
E) 76.01°

Question 7

Which one of the following statements concerning the index of refraction for a given material is true?

Accepted Answer

A) The index of refraction may be less than 1. 
B) The index of refraction may be measured in nanometers. 
C) The index of refraction does not depend on the frequency of the incident light. 
D) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in vacuum. 
E) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in the material. 
A) The index of refraction may be less than 1. 
B) The index of refraction may be measured in nanometers. 
C) The index of refraction does not depend on the frequency of the incident light. 
D) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in vacuum. 
E) For a given frequency, the index of refraction is inversely proportional to the wavelength of light in the material.

Question 8

26-7
A 4.0-cm object is placed 30.0 cm from a converging lens that has a focal length of 10.0 cm as shown in the diagram.
Note: The diagram is not drawn to scale.  
-Where is the image located?

Accepted Answer

A) 15 cm to the left of the lens 
B) 7.5 cm to the left of the lens 
C) 7.5 cm to the right of the lens 
D) 15 cm to the right of the lens 
E) 30 cm to the right of the lens 
A) 15 cm to the left of the lens 
B) 7.5 cm to the left of the lens 
C) 7.5 cm to the right of the lens 
D) 15 cm to the right of the lens 
E) 30 cm to the right of the lens

Question 9

A glass block with an index of refraction of 1.7 is immersed in an unknown liquid.A ray of light inside the block undergoes total internal reflection as shown in the figure.Which one of the following relations best indicates what may be concluded concerning the index of refraction of the liquid, nL?

Accepted Answer

A) nL L $\ge$ 1.1 
C) nL $\ge$ 1.3 
D) nL $\le$ 1.1 
E) nL $\le$ 1.3 
A) nL L $\ge$ 1.1 
C) nL $\ge$ 1.3 
D) nL $\le$ 1.1 
E) nL $\le$ 1.3

Question 10

What is the frequency of light that has a wavelength in water of 788 nm if the refractive index for this light is 1.33?

Accepted Answer

A) 3.76 × 1014 Hz 
B) 5.00 × 1014 Hz 
C) 6.65 × 1014 Hz 
D) 2.86 × 1014 Hz 
E) 9.52 × 1014 Hz 
A) 3.76 × 1014 Hz 
B) 5.00 × 1014 Hz 
C) 6.65 × 1014 Hz 
D) 2.86 × 1014 Hz 
E) 9.52 × 1014 Hz

Question 11

A converging lens with a focal length of 12 cm produces a 3-cm high virtual image of a 1-cm high object.Which entry in the table below is correct?

Accepted Answer

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

Question 12

A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40.Which one of the following relations best describes angles of incidence $\theta$ that will result in total internal reflection within the fiber optic line?

Accepted Answer

A) ($\theta$ 68°) 
C) ($\theta$ 22°) 
E) (0 $\le$$\theta$ $\le$90°) 
A) ($\theta$ 68°) 
C) ($\theta$ 22°) 
E) (0 $\le$$\theta$ $\le$90°)

Question 13

26-13
A fish swims 4.0 m below the surface of a still lake as shown in the figure.When an archer attempts to shoot the fish, the arrow enters the water at point P that is a horizontal distance 1.2 m from the fish.  
-If the archer is successful in shooting the fish, what angle does the arrow make with the horizontal as it enters the water?

Accepted Answer

A) 12° 
B) 17° 
C) 23° 
D) 67° 
E) 73° 
A) 12° 
B) 17° 
C) 23° 
D) 67° 
E) 73°

Question 14

A child sitting at the edge of a swimming pool sees a coin resting on the bottom of the pool.The coin appears to be 0.75 m directly below the water's surface.How deep is the pool at the location of the coin? The index of refraction of water is 1.33.

Accepted Answer

A) 0.75 m 
B) 0.86 m 
C) 1.0 m 
D) 1.2 m 
E) 1.6 m 
A) 0.75 m 
B) 0.86 m 
C) 1.0 m 
D) 1.2 m 
E) 1.6 m

Question 15

The figure is a scaled diagram of a an object and a converging lens.The focal length of the lens is 5.0 units.An object is placed 3.0 units from the lens as shown.  
-The object has a height of 1.5 units.What is the approximate height of the image?

Accepted Answer

A) 2.0 units 
B) 1.2 units 
C) 5.0 units 
D) 3.8 units 
E) 9.8 units 
A) 2.0 units 
B) 1.2 units 
C) 5.0 units 
D) 3.8 units 
E) 9.8 units

Question 16

A beam of light that consists of a mixture of red, green and violet light strikes a prism (surrounded by air) as shown.Indices of refraction for this prism for the various colors are indicated in the table.An observer is located to the right of the prism as shown.    
-Which one of the following statements is true concerning the focal length of a lens?

Accepted Answer

A) The focal length is the same for all colors. 
B) The focal length is different for different colors because of reflection. 
C) The focal length is different for different colors because of dispersion. 
D) The focal length is different for different colors because of polarization. 
E) The focal length is different for different colors because of spherical aberration. 
A) The focal length is the same for all colors. 
B) The focal length is different for different colors because of reflection. 
C) The focal length is different for different colors because of dispersion. 
D) The focal length is different for different colors because of polarization. 
E) The focal length is different for different colors because of spherical aberration.

Question 17

A ray of light originates in medium A and is incident upon medium B.For which one of the following pairs of indices of refraction for A and B is total internal reflection not possible?

Accepted Answer

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

Question 18

A grizzly bear is sitting on a rock in the middle of a calm river when she observes a fish directly below.If the apparent depth of the fish is 0.40 m, what is the actual depth at which the fish is swimming? The index of refraction of water is 1.33.

Accepted Answer

A) 0.80 m 
B) 0.71 m 
C) 0.62 m 
D) 0.53 m 
E) 0.45 m 
A) 0.80 m 
B) 0.71 m 
C) 0.62 m 
D) 0.53 m 
E) 0.45 m

Question 19

The figure shows the path of a portion of a ray of light as it passes through three different materials. Note: The figure is drawn to scale.   What can be concluded concerning the refractive indices of these three materials?

Accepted Answer

A) n1 2 3 
B) n1 > n2 > n3 
C) n3 1 2 
D) n2 1 3 
E) n1 3 2 
A) n1 2 3 
B) n1 > n2 > n3 
C) n3 1 2 
D) n2 1 3 
E) n1 3 2

Question 20

The moon is observed using a telescope that has an objective lens with a focal length of 3.0 m and an eyepiece with a focal length of 6.0 cm.What is the angular diameter of the moon if the earth-moon distance is 3.85 × 108 m and the diameter of the moon is 3.48 × 106 m?

Accepted Answer

A) 0.36 rad 
B) 0.45 rad 
C) 0.72 rad 
D) 0.90 rad 
E) 1.4 rad 
A) 0.36 rad 
B) 0.45 rad 
C) 0.72 rad 
D) 0.90 rad 
E) 1.4 rad

Exam 26: The Refraction of Light: Lenses and Optical Instruments

When an object is placed 25 cm from a lens, a real image is formed.Which one of the following conclusions is incorrect?

Light that is incident upon the eye is refracted several times before it reaches the retina.As light passes through the eye, at which boundary does the majority of the overall refraction occur?

A ray of light passes from air into a block of glass with a refractive index of 1.59 as shown in the figure. Note: The drawing is not to scale. What is the value of the distance D?

A 4-cm object is placed in front of a converging lens of focal length 20 cm.The image is formed 60 cm on the other side of the lens.Which entry in the table below is correct?

When certain light rays pass from a vacuum into a block of an unknown material, the measured index of refraction of the material is 3.00.What is the speed of light inside the block?

Light propagates from soda lime glass (n = 1.518) into Pyrex glass (n = 1.473).Determine the critical angle for this situation.

Which one of the following statements concerning the index of refraction for a given material is true?

26-7 A 4.0-cm object is placed 30.0 cm from a converging lens that has a focal length of 10.0 cm as shown in the diagram. Note: The diagram is not drawn to scale. -Where is the image located?

What is the frequency of light that has a wavelength in water of 788 nm if the refractive index for this light is 1.33?

A converging lens with a focal length of 12 cm produces a 3-cm high virtual image of a 1-cm high object.Which entry in the table below is correct?

A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40.Which one of the following relations best describes angles of incidence θ\thetaθ that will result in total internal reflection within the fiber optic line?

A child sitting at the edge of a swimming pool sees a coin resting on the bottom of the pool.The coin appears to be 0.75 m directly below the water's surface.How deep is the pool at the location of the coin? The index of refraction of water is 1.33.

The figure is a scaled diagram of a an object and a converging lens.The focal length of the lens is 5.0 units.An object is placed 3.0 units from the lens as shown. -The object has a height of 1.5 units.What is the approximate height of the image?

A ray of light originates in medium A and is incident upon medium B.For which one of the following pairs of indices of refraction for A and B is total internal reflection not possible?

A grizzly bear is sitting on a rock in the middle of a calm river when she observes a fish directly below.If the apparent depth of the fish is 0.40 m, what is the actual depth at which the fish is swimming? The index of refraction of water is 1.33.

The figure shows the path of a portion of a ray of light as it passes through three different materials. Note: The figure is drawn to scale. What can be concluded concerning the refractive indices of these three materials?

The moon is observed using a telescope that has an objective lens with a focal length of 3.0 m and an eyepiece with a focal length of 6.0 cm.What is the angular diameter of the moon if the earth-moon distance is 3.85 × 108 m and the diameter of the moon is 3.48 × 106 m?

Introduction and Mathematical Concepts

Kinematics in One Dimension

Kinematics in Two Dimensions

Forces and Newtons Laws of Motion

Dynamics of Uniform Circular Motion

Work and Energy

Impulse and Momentum

Rotational Kinematics

Rotational Dynamics

Simple Harmonic Motion and Elasticity

Fluids

Temperature and Heat

The Transfer of Heat

The Ideal Gas Law and Kinetic Theory

Thermodynamics

Waves and Sound

The Principle of Linear Superposition and Interference Phenomena

Electric Forces and Electric Fields

Electric Potential Energy and the Electric Potential

Electric Circuits

Magnetic Forces and Magnetic Fields

Electromagnetic Induction

Alternating Current Circuits

Electromagnetic Waves

The Reflection of Light: Mirrors

Interference and the Wave Nature of Light

Special Relativity

Particles and Waves

The Nature of the Atom

Nuclear Physics and Radioactivity

Ionizing Radiation, Nuclear Energy, and Elementary Particles

Filters

A fiber optic line is composed of a core with an index of refraction of 1.51 and cladding with an index of 1.40.Which one of the following relations best describes angles of incidence $\theta$ that will result in total internal reflection within the fiber optic line?

The moon is observed using a telescope that has an objective lens with a focal length of 3.0 m and an eyepiece with a focal length of 6.0 cm.What is the angular diameter of the moon if the earth-moon distance is 3.85 × 10⁸ m and the diameter of the moon is 3.48 × 10⁶ m?