Question 1

Light is refracted through a diamond. If the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?

Accepted Answer

A) 1.3 
B) 2.4 
C) 2.6 
D) 1.8 
E) 0.4 
A) 1.3 
B) 2.4 
C) 2.6 
D) 1.8 
E) 0.4

Question 2

The wave front shown at the left for light in air reaches the plane boundary between air and two transparent mediums with n1 = 1.5 and n2 = 3.00, respectively. ​   ​
Which diagram below correctly illustrates the wave front after it has entered the two mediums at the right?
​   ​

Accepted Answer

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

Question 3

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 4

A laser beam is incident from the air at an angle of 30.00° to the vertical onto a solution of Karo syrup in water. If the beam is refracted to 19.24° to the vertical, what is the index of refraction of the syrup solution?

Accepted Answer

The answer of A laser beam is incident from the...

Question 5

A person in a boat sees a fish in the water (n = 1.33), the light rays making an angle of 40° relative to the water's surface. What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

Accepted Answer

A) 40 
B) 35 
C) 50 
D) 55 
E) 61 
A) 40 
B) 35 
C) 50 
D) 55 
E) 61

Question 6

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 7

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 8

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. How far past the 25-cm lens does the final image form?

Accepted Answer

A) 20 cm 
B) 40 cm 
C) 16 cm 
D) 25 cm 
E) 47 cm 
A) 20 cm 
B) 40 cm 
C) 16 cm 
D) 25 cm 
E) 47 cm

Question 9

A diver shines an underwater searchlight at the surface of a pond (n = 1.33). At what angle (relative to the surface) will the light be totally reflected?

Accepted Answer

A) 47.3° 
B) 41.2° 
C) 51.1° 
D) 58.7° 
E) 49.8° 
A) 47.3° 
B) 41.2° 
C) 51.1° 
D) 58.7° 
E) 49.8°

Question 10

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 11

When light is either reflected or refracted, the quantity that does not change in either process is its

Accepted Answer

A) direction of travel. 
B) dispersion. 
C) frequency. 
D) speed. 
E) wavelength. 
A) direction of travel. 
B) dispersion. 
C) frequency. 
D) speed. 
E) wavelength.

Question 12

The laws of refraction and reflection are the same for sound as for light. The speed of sound in air is 340 m/s and in water it is 1510 m/s. If a sound wave approaches a plane water surface at an angle of incidence of 12.0°, what is the angle of refraction?

Accepted Answer

The answer of The laws of refraction and reflection are...

Question 13

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 14

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 15

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

Question 16

A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333). To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?

Accepted Answer

A) 78° 
B) 88° 
C) 68° 
D) 49° 
E) the critical angle is undefined 
A) 78° 
B) 88° 
C) 68° 
D) 49° 
E) the critical angle is undefined

Question 17

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46). The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v2/v1, is

Accepted Answer

A) 1.99. 
B) 1.07. 
C) 0.932. 
D) 0.511. 
E) 0.760. 
A) 1.99. 
B) 1.07. 
C) 0.932. 
D) 0.511. 
E) 0.760.

Question 18

The actual depth of a shallow pool 1.00 m deep is not the same as the apparent depth seen when you look straight down at the pool from above. How deep (in cm) will it appear to be? (nwater = 1.33.)

Accepted Answer

A) 133 
B) 75.2 
C) 90.6 
D) 117 
E) 100 
A) 133 
B) 75.2 
C) 90.6 
D) 117 
E) 100

Question 19

A layer of kerosene (n = 1.45) is floating on water (n = 1.33). For what angles of incidence at the kerosene-water interface will light be totally internally reflected within the kerosene?

Accepted Answer

The answer of A layer of kerosene (n = 1.45)...

Question 20

A monochromatic (single frequency, single wavelength) light ray in air (n = 1) enters a glass prism (n = 1.5). In the glass prism

Accepted Answer

A) both the frequency and the wavelength are the same as in air 
B) the frequency is the same, but the wavelength is greater than in air. 
C) the frequency is the same, but the wavelength is smaller than in air. 
D) the wavelength is the same, but the frequency is greater than in air. 
E) the wavelength is the same, but the frequency is smaller than in air. 
A) both the frequency and the wavelength are the same as in air 
B) the frequency is the same, but the wavelength is greater than in air. 
C) the frequency is the same, but the wavelength is smaller than in air. 
D) the wavelength is the same, but the frequency is greater than in air. 
E) the wavelength is the same, but the frequency is smaller than in air.

Exam 38: Refraction and Images Formed by Refraction

Light is refracted through a diamond. If the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?

The wave front shown at the left for light in air reaches the plane boundary between air and two transparent mediums with n1 = 1.5 and n2 = 3.00, respectively. ​ ​ Which diagram below correctly illustrates the wave front after it has entered the two mediums at the right? ​ ​

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?

A laser beam is incident from the air at an angle of 30.00° to the vertical onto a solution of Karo syrup in water. If the beam is refracted to 19.24° to the vertical, what is the index of refraction of the syrup solution?

A person in a boat sees a fish in the water (n = 1.33), the light rays making an angle of 40° relative to the water's surface. What is the true angle (in degrees) relative to the water's surface of the same rays when beneath the surface?

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 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?

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. How far past the 25-cm lens does the final image form?

A diver shines an underwater searchlight at the surface of a pond (n = 1.33). At what angle (relative to the surface) will the light be totally reflected?

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

When light is either reflected or refracted, the quantity that does not change in either process is its

The laws of refraction and reflection are the same for sound as for light. The speed of sound in air is 340 m/s and in water it is 1510 m/s. If a sound wave approaches a plane water surface at an angle of incidence of 12.0°, what is the angle of refraction?

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?

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.

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?

A layer of ethyl alcohol (n = 1.361) is on top of water (n = 1.333). To the nearest degree, at what angle relative to the normal to the interface of the two liquids is light totally reflected?

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46). The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v2/v1, is

The actual depth of a shallow pool 1.00 m deep is not the same as the apparent depth seen when you look straight down at the pool from above. How deep (in cm) will it appear to be? (nwater = 1.33.)

A layer of kerosene (n = 1.45) is floating on water (n = 1.33). For what angles of incidence at the kerosene-water interface will light be totally internally reflected within the kerosene?

A monochromatic (single frequency, single wavelength) light ray in air (n = 1) enters a glass prism (n = 1.5). In the glass prism

Getting Started

One-Dimensional Motion

Vectors

Two- and Three-Dimensional Motion

Newtons Laws of Motion

Applications of Newtons Laws of Motion

Gravity

Conservation of Energy

Energy in Nonisolated Systems

Systems of Particles and Conservation of Momentum

Collisions

Rotation I: Kinematics and Dynamics

Rotation II: a Conservation Approach

Static Equilibrium, Elasticity, and Fracture

Fluids

Oscillations

Traveling Waves

Superposition and Standing Waves

Temperature, Thermal Expansion, and Gas Laws

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

Electric Forces

Electric Fields

Gausss Law

Electric Potential

Capacitors and Batteries

Current and Resistance

Direct Current Dc Circuits

Magnetic Fields and Forces

Gausss Law for Magnetism and Amperes Law

Faradays Law of Induction

Inductors and Ac Circuits

Maxwells Equations and Electromagnetic Waves

Diffraction and Interference

Applications of the Wave Model

Reflection and Images Formed by Reflection

Relativity

Filters

The wave front shown at the left for light in air reaches the plane boundary between air and two transparent mediums with n₁ = 1.5 and n₂ = 3.00, respectively. Which diagram below correctly illustrates the wave front after it has entered the two mediums at the right?

The speed of light changes when it goes from ethyl alcohol (n = 1.36) to carbon tetrachloride (n = 1.46). The ratio of the speed in carbon tetrachloride to the speed in ethyl alcohol, v₂/v₁, is