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

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 3

White light enters a glass prism, but the color components of the light are observed to emerge from the prism. Which one of the following statements best explains this observation?

Accepted Answer

A) The separation of white light into its color components is due to the increase in the speed of light within the glass. 
B) Some of the color components of the white light are absorbed by the glass and only the remaining components are observed. 
C) The index of refraction of the glass depends on the wavelength, so the color components are refracted at different angles. 
D) Only some of the color components are refracted by the glass; and these are the ones that are observed. 
E) White light is separated into its color components by total internal reflection within the prism. 
A) The separation of white light into its color components is due to the increase in the speed of light within the glass. 
B) Some of the color components of the white light are absorbed by the glass and only the remaining components are observed. 
C) The index of refraction of the glass depends on the wavelength, so the color components are refracted at different angles. 
D) Only some of the color components are refracted by the glass; and these are the ones that are observed. 
E) White light is separated into its color components by total internal reflection within the prism.

Question 4

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 5

The right lens of Josh's contact lenses is a converging lens of +2.50 diopters. He can read a book held as close as 25 cm from his eyes. Complete the following statement: Without his lenses, Josh's right eye has

Accepted Answer

A) a far point of 15.4 cm. 
B) a far point of 40.0 cm. 
C) a far point of 66.7 cm. 
D) a near point of 15.4 cm. 
E) a near point of 66.7 cm. 
A) a far point of 15.4 cm. 
B) a far point of 40.0 cm. 
C) a far point of 66.7 cm. 
D) a near point of 15.4 cm. 
E) a near point of 66.7 cm.

Question 6

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.  
-A second converging lens is placed 20.0 cm to the right of the lens shown in the figure. Determine the focal length of the second lens if an inverted image (relative to the object in the diagram) is formed 13.3 cm to the right of the first lens.

Accepted Answer

A) 1.33 cm 
B) 6.67 cm 
C) 13.3 cm 
D) 15.4 cm 
E) 19.7 cm 
A) 1.33 cm 
B) 6.67 cm 
C) 13.3 cm 
D) 15.4 cm 
E) 19.7 cm

Question 7

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 8

Light with a wavelength of 589 nm in a vacuum strikes the surface of an unknown liquid at an angle of 31.2° with respect to the normal to the surface. If the light travels at a speed of 1.97 × 108 m/s through the liquid, what is the angle of refraction?

Accepted Answer

A) 19.9° 
B) 26.1° 
C) 34.2° 
D) 39.3° 
E) 51.9° 
A) 19.9° 
B) 26.1° 
C) 34.2° 
D) 39.3° 
E) 51.9°

Question 9

Joseph uses a converging lens (f = 0.12 m) to read a map located 0.080 m from the lens. What is the magnification of the lens?

Accepted Answer

A) +3.4 
B) +3.0 
C) +1.7 
D) +0.60 
E) +0.33 
A) +3.4 
B) +3.0 
C) +1.7 
D) +0.60 
E) +0.33

Question 10

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 11

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.  
-Determine the height and orientation of the image.

Accepted Answer

A) 2 cm and upright 
B) 1 cm and inverted 
C) 2 cm and inverted 
D) 8 cm and upright 
E) 8 cm and inverted 
A) 2 cm and upright 
B) 1 cm and inverted 
C) 2 cm and inverted 
D) 8 cm and upright 
E) 8 cm and inverted

Question 12

A ray of light propagates in water (n = 1.333) and strikes a sheet of crown glass (n = 1.523). If the angle of refraction in the glass is 35.2°, determine the angle of incidence.

Accepted Answer

A) 30.3° 
B) 32.8° 
C) 35.2° 
D) 41.2° 
E) 45.0° 
A) 30.3° 
B) 32.8° 
C) 35.2° 
D) 41.2° 
E) 45.0°

Question 13

A 1.5-cm object is placed 0.50 m to the left of a diverging lens with a focal length of 0.20 m. A converging lens with a focal length of 0.17 m is located 0.08 m to the right of the diverging lens.
-What is the location of the final image with respect to the object?

Accepted Answer

A) The final image is located 0.14 m to the left of the object. 
B) The final image is located 0.32 m to the right of the object. 
C) The final image is located 0.40 m to the right of the object. 
D) The final image is located 0.83 m to the right of the object. 
E) The final image is located 1.3 m to the right of the object. 
A) The final image is located 0.14 m to the left of the object. 
B) The final image is located 0.32 m to the right of the object. 
C) The final image is located 0.40 m to the right of the object. 
D) The final image is located 0.83 m to the right of the object. 
E) The final image is located 1.3 m to the right of the object.

Question 14

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.  
-What is the total magnification of this lens combination?

Accepted Answer

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

Question 15

An object is placed at the focal point of a thin diverging lens of focal length f. What is the image distance?

Accepted Answer

A) f 
B) 2f 
C) 1/f 
D) f/2 
E) at an infinite distance 
A) f 
B) 2f 
C) 1/f 
D) f/2 
E) at an infinite distance

Question 16

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 17

The figure shows a point source of unpolarized light at A inside a uniform transparent crystal. The ray AO in the crystal strikes the plane surface SS' making an angle of 30° with the normal. This angle is the critical angle for transmission into air.  
-If point A is 16 cm below the plane SS', what is the radius of the largest circle at the air-crystal interface through which light can emerge from the crystal?

Accepted Answer

A) 9.2 cm 
B) 16.0 cm 
C) 18.4 cm 
D) 27.0 cm 
E) 32.0 cm 
A) 9.2 cm 
B) 16.0 cm 
C) 18.4 cm 
D) 27.0 cm 
E) 32.0 cm

Question 18

In a scene from a movie, a nearsighted character removes his eyeglasses and uses them to focus the nearly parallel rays of the sun to start a fire. What is physically wrong with this scene?

Accepted Answer

A) The eyeglasses have diverging lenses and cannot be used to focus parallel rays. 
B) The eyeglasses have converging lenses and cannot be used to focus parallel rays. 
C) Sunlight cannot be used to start a fire. 
D) A fire can only be started if the image is virtual. 
E) Parallel rays cannot be focused. 
A) The eyeglasses have diverging lenses and cannot be used to focus parallel rays. 
B) The eyeglasses have converging lenses and cannot be used to focus parallel rays. 
C) Sunlight cannot be used to start a fire. 
D) A fire can only be started if the image is virtual. 
E) Parallel rays cannot be focused.

Question 19

Rachel has a far point of 5 m. Which statement below concerning Rachel's vision is true?

Accepted Answer

A) She has normal vision. 
B) She is myopic and requires diverging lenses to correct her vision. 
C) She is myopic and requires converging lenses to correct her vision. 
D) She is hyperopic and requires diverging lenses to correct her vision. 
E) She is hyperopic and requires converging lenses to correct her vision. 
A) She has normal vision. 
B) She is myopic and requires diverging lenses to correct her vision. 
C) She is myopic and requires converging lenses to correct her vision. 
D) She is hyperopic and requires diverging lenses to correct her vision. 
E) She is hyperopic and requires converging lenses to correct her vision.

Question 20

The figure shows the path of a ray of light as it travels through air and crosses a boundary into water. The index of refraction of water for this light is 1.33.  
-What is the angle of refraction for this situation?

Accepted Answer

A) 0.37° 
B) 0.65° 
C) 22° 
D) 41° 
E) 60° 
A) 0.37° 
B) 0.65° 
C) 22° 
D) 41° 
E) 60°

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?

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?

White light enters a glass prism, but the color components of the light are observed to emerge from the prism. Which one of the following statements best explains this observation?

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?

The right lens of Josh's contact lenses is a converging lens of +2.50 diopters. He can read a book held as close as 25 cm from his eyes. Complete the following statement: Without his lenses, Josh's right eye has

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?

Light with a wavelength of 589 nm in a vacuum strikes the surface of an unknown liquid at an angle of 31.2° with respect to the normal to the surface. If the light travels at a speed of 1.97 × 108 m/s through the liquid, what is the angle of refraction?

Joseph uses a converging lens (f = 0.12 m) to read a map located 0.080 m from the lens. What is the magnification of the lens?

Which one of the following statements is true concerning the focal length of a lens?

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. -Determine the height and orientation of the image.

A ray of light propagates in water (n = 1.333) and strikes a sheet of crown glass (n = 1.523). If the angle of refraction in the glass is 35.2°, determine the angle of incidence.

A 1.5-cm object is placed 0.50 m to the left of a diverging lens with a focal length of 0.20 m. A converging lens with a focal length of 0.17 m is located 0.08 m to the right of the diverging lens. -What is the location of the final image with respect to the object?

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. -What is the total magnification of this lens combination?

An object is placed at the focal point of a thin diverging lens of focal length f. What is the image distance?

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

In a scene from a movie, a nearsighted character removes his eyeglasses and uses them to focus the nearly parallel rays of the sun to start a fire. What is physically wrong with this scene?

Rachel has a far point of 5 m. Which statement below concerning Rachel's vision is true?

The figure shows the path of a ray of light as it travels through air and crosses a boundary into water. The index of refraction of water for this light is 1.33. -What is the angle of refraction for this situation?

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 Refl Ection 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

Light with a wavelength of 589 nm in a vacuum strikes the surface of an unknown liquid at an angle of 31.2° with respect to the normal to the surface. If the light travels at a speed of 1.97 × 10⁸ m/s through the liquid, what is the angle of refraction?