Question 1

The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

Accepted Answer

A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s 
A)  1.97 × 108 m/s 
B)  1.94 × 108 m/s 
C)  1.91 × 108 m/s 
D)  1.89 × 108 m/s 
E)  2.00 × 108 m/s D

Question 2

Light in air is initially traveling parallel to the face AC of an equilateral triangular prism, as shown in the figure. The prism is made of glass with an index of refraction of 1.52. If the light does not strike the face AC, what is the angle between the ray as it leaves the prism at face BC and the normal in air at that face?

Accepted Answer

A)  83° 
B)  19° 
C)  59° 
D)  27° 
E)  55° 
A)  83° 
B)  19° 
C)  59° 
D)  27° 
E)  55° A

Question 3

In the figure, a laser positioned on a ship is used to communicate with a small two-man research submarine resting on the bottom of a lake. The laser is positioned 12 m above the surface of the water, and it strikes the water 20 m from the side of the ship. The water is 76 m deep and has an index of refraction of 1.33. How far horizontally is the submarine from the side of the ship?

Accepted Answer

A)  84.1 m 
B)  64.1 m 
C)  104 m 
D)  74.1 m 
E)  94.1 m 
A)  84.1 m 
B)  64.1 m 
C)  104 m 
D)  74.1 m 
E)  94.1 m A

Question 4

A ray of light strikes a boundary between two transparent materials, and there is no transmitted ray, as shown in the figure. What can you conclude about the indices of refraction of these two materials?

Accepted Answer

A)  n1 ≥ n2 
B)  n1 > n2 
C)  n1 = n2 
D)  n2 ≥ n1 
E)  n2 > n1 
A)  n1 ≥ n2 
B)  n1 > n2 
C)  n1 = n2 
D)  n2 ≥ n1 
E)  n2 > n1

Question 5

A ray of light goes from one transparent material into another, as shown in the figure. What can you conclude about the indices of refraction of these two materials?

Accepted Answer

A)  n1 ≥ n2 
B)  n1 > n2 
C)  n1 = n2 
D)  n2 ≥ n1 
E)  n2 > n1 
A)  n1 ≥ n2 
B)  n1 > n2 
C)  n1 = n2 
D)  n2 ≥ n1 
E)  n2 > n1

Question 6

A glass plate whose index of refraction is 1.56 is immersed in a liquid. The surface of the glass is inclined at an angle of 42.0° with the vertical. A horizontal ray in the glass is incident on the interface. When the liquid is a certain alcohol, the incident ray arrives at the interface at the critical angle. What is the index of refraction of the alcohol?

Accepted Answer

A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06 
A)  1.04 
B)  1.02 
C)  1.00 
D)  0.984 
E)  1.06

Question 7

A beam of light of two different wavelengths enters a pane of glass 3.00 mm thick at an angle of incidence of 56°. The indices of refraction for the two different colors are 1.514 and 1.528. Because of dispersion, the colored beams, although parallel, are separated by a small distance. How far apart are they?

Accepted Answer

A)  0.057 mm 
B)  0.0083 mm 
C)  0.025 mm 
D)  0.014 mm 
E)  0.0062 mm 
A)  0.057 mm 
B)  0.0083 mm 
C)  0.025 mm 
D)  0.014 mm 
E)  0.0062 mm

Question 8

A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.)

Accepted Answer

A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54° 
A)  0.27° 
B)  0.33° 
C)  0.36° 
D)  0.46° 
E)  0.54°

Question 9

Light consisting of a mixture of red and blue light enters a 40°, 70°, 70° prism along a line parallel to the side opposite the 40° vertex. The index of refraction of the prism material for blue light is 1.530, and for red light it is 1.525. What is the angle between the two emerging beams of light?

Accepted Answer

A)  0.5° 
B)  0.9° 
C)  0.1° 
D)  0.3° 
E)  0.7° 
A)  0.5° 
B)  0.9° 
C)  0.1° 
D)  0.3° 
E)  0.7°

Question 10

Which one of the following is an accurate statement about light?

Accepted Answer

A)  When light strikes a surface at Brewster's angle, the reflected and transmitted light are both 100% polarized. 
B)  When light strikes a surface at Brewster's angle, it is completely reflected at the surface. 
C)  When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized. 
D)  When light strikes a surface at the critical angle, only the reflected light is 100% polarized. 
E)  When light strikes a surface at the critical angle, all the light passes through the surface. 
A)  When light strikes a surface at Brewster's angle, the reflected and transmitted light are both 100% polarized. 
B)  When light strikes a surface at Brewster's angle, it is completely reflected at the surface. 
C)  When light strikes a surface at Brewster's angle, only the reflected light is 100% polarized. 
D)  When light strikes a surface at the critical angle, only the reflected light is 100% polarized. 
E)  When light strikes a surface at the critical angle, all the light passes through the surface.

Question 11

An optic fiber is made of clear plastic with index of refraction of 1.50, surrounded by air. For what angles of incidence θ will light remain within the plastic fiber?

Accepted Answer

A)  θ ≥ 21.1° 
B)  θ  38.3° 
D)  θ  41.8° 
A)  θ ≥ 21.1° 
B)  θ  38.3° 
D)  θ  41.8°

Question 12

A tank holds a 1.44-m thick layer of oil that floats on a 0.96-m thick layer of brine. Both liquids are clear and do not intermix. Point O is at the bottom of the tank, on a vertical axis. The indices of refraction of the oil and the brine are 1.40 and 1.52, respectively. A ray originating at O reaches the brine-oil interface at the critical angle. What is the distance of this point from the axis?

Accepted Answer

A)  1.5 m 
B)  1.7 m 
C)  1.9 m 
D)  2.1 m 
E)  2.3 m 
A)  1.5 m 
B)  1.7 m 
C)  1.9 m 
D)  2.1 m 
E)  2.3 m

Question 13

Unpolarized light passes through three polarizing filters. The first one is oriented with a horizontal transmission axis, the second filter has its transmission axis 25.7° from the horizontal, and the third one has a vertical transmission axis. What percent of the light gets through this combination of filters?

Accepted Answer

A)  7.6% 
B)  92.4% 
C)  50.0% 
D)  0.00% 
A)  7.6% 
B)  92.4% 
C)  50.0% 
D)  0.00%

Question 14

Light of intensity I0 and polarized horizontally passes through three polarizes. The first and third polarizing axes are horizontal, but the second one is oriented 20.0° to the horizontal. In terms of I0, what is the intensity of the light that passes through the set of polarizers?

Accepted Answer

A)  0.780I0 
B)  0.180I0 
C)  0.442I0 
D)  0.883I0 
A)  0.780I0 
B)  0.180I0 
C)  0.442I0 
D)  0.883I0

Question 15

When light goes from one material into another material having a HIGHER index of refraction

Accepted Answer

A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same. 
A)  its speed, wavelength, and frequency all decrease. 
B)  its speed and wavelength decrease, but its frequency stays the same. 
C)  its speed decreases but its wavelength and frequency both increase. 
D)  its speed decreases but its frequency and wavelength stay the same. 
E)  its speed increases, its wavelength decreases, and its frequency stays the same.

Question 16

The critical angle for an air-glass interface is 29.6°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray?

Accepted Answer

A)  26.3° 
B)  25.7° 
C)  25.1° 
D)  24.5° 
E)  23.9° 
A)  26.3° 
B)  25.7° 
C)  25.1° 
D)  24.5° 
E)  23.9°

Question 17

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30. What is the critical angle of this fiber at the glass-plastic interface?

Accepted Answer

A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1° 
A)  90.0° 
B)  41.8° 
C)  60.1° 
D)  50.2° 
E)  61.1°

Question 18

What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?

Accepted Answer

A)  42° 
B)  48° 
C)  53° 
D)  57° 
E)  61° 
A)  42° 
B)  48° 
C)  53° 
D)  57° 
E)  61°

Question 19

Unpolarized light is incident upon two polarization filters that do not have their transmission axes aligned. If 18% of the light passes through this combination of filters, what is the angle between the transmission axes of the filters?

Accepted Answer

A)  53° 
B)  73° 
C)  85° 
D)  80° 
A)  53° 
B)  73° 
C)  85° 
D)  80°

Question 20

Light strikes a 5.0-cm thick sheet of glass at an angle of incidence in air of 50°. The sheet has parallel faces and the glass has an index of refraction 1.50.
(a) What is the angle of refraction in the glass?
(b) After traveling through the glass the light re-emerges into the air. What is the final angle of refraction in air?
(c) As it leaves the glass, by what distance is the path of the ray is displaced from what it was before entering the glass?

Accepted Answer

(a) 31° 
(

Exam 32: The Nature and Propagation of Light

The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 108 m/s)

A ray of light strikes a boundary between two transparent materials, and there is no transmitted ray, as shown in the figure. What can you conclude about the indices of refraction of these two materials?

A ray of light goes from one transparent material into another, as shown in the figure. What can you conclude about the indices of refraction of these two materials?

Which one of the following is an accurate statement about light?

An optic fiber is made of clear plastic with index of refraction of 1.50, surrounded by air. For what angles of incidence θ will light remain within the plastic fiber?

Light of intensity I0 and polarized horizontally passes through three polarizes. The first and third polarizing axes are horizontal, but the second one is oriented 20.0° to the horizontal. In terms of I0, what is the intensity of the light that passes through the set of polarizers?

When light goes from one material into another material having a HIGHER index of refraction

The critical angle for an air-glass interface is 29.6°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray?

An optical fiber made of glass with an index of refraction 1.50 is coated with a plastic with index of refraction 1.30. What is the critical angle of this fiber at the glass-plastic interface?

What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?

Unpolarized light is incident upon two polarization filters that do not have their transmission axes aligned. If 18% of the light passes through this combination of filters, what is the angle between the transmission axes of the filters?

Units, Physical Quantities, and Vectors

Motion Along a Straight Line

Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

Momentum, Impulse, and Collisions

Rotation of Rigid Bodies

Equilibrium and Elasticity

Fluid Mechanics

Gravitation

Periodic Motion

Mechanical Waves

Sound and Hearing

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

The Second Law of Thermodynamics

Electric Charge and Electric Field

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Magnetic Field and Magnetic Forces

Sources of Magnetic Field

Electromagnetic Induction

Inductance

Alternating Current

Electromagnetic Waves

Geometric Optics

Interference

Diffraction

Relativity

Photons: Light Waves Behaving As Particles

Particles Behaving As Waves

Quantum Mechanics

Atomic Structure

Molecules and Condensed Matter

Nuclear Physics

Particle Physics and Cosmology

Filters

The critical angle in air for a particular type of glass is 39.0°. What is the speed of light in this class glass? (c = 3.00 × 10⁸ m/s)

Light of intensity I₀ and polarized horizontally passes through three polarizes. The first and third polarizing axes are horizontal, but the second one is oriented 20.0° to the horizontal. In terms of I₀, what is the intensity of the light that passes through the set of polarizers?