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An electromagnetic wave is propagating towards the west in a vacuum.At a certain moment the direction of the B\vec { B } field vector associated with this wave points vertically upward.What is the direction of the E\vec { E } field vector?


A) horizontal and pointing south
B) vertical and pointing down
C) horizontal and pointing north
D) vertical and pointing upward
E) horizontal and pointing east

F) All of the above
G) B) and C)

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The rate of energy flow per unit area of a sinusoidal electromagnetic wave has an average value of 0.601 W/m2.What is the maximum value of the B\vec { B } field in the wave? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T ∙ m/A,ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 7.09 × 10-8 T
B) 5.02 × 10-8 T
C) 3.55 × 10-8 T
D) 9.81 × 10-8 T
E) 1.42 × 10-7 T

F) None of the above
G) A) and B)

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Which of the following statements about electromagnetic waves in a vacuum are true? (There could be more than one correct choice.)


A) The electric field carries more energy than the magnetic field.
B) The electric and magnetic fields have equal amplitudes.
C) The electric field carries the same mount of energy as the magnetic field.
D) The frequency of the magnetic field is the same as the frequency of the electric field.
E) The frequency of the electric field is higher than the frequency of the magnetic field.

F) A) and E)
G) A) and B)

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Three ideal polarizers are oriented as follows: The axis of the second polarizer is at an angle of 59.0° relative to the first one.The axis of the third polarizer is at an angle of 31.0° relative to the second one,so the axis of the axis of the third polarizer is perpendicular to the axis of the first one.Unpolarized light of intensity 18.6 W/m218.6 \mathrm {~W} / \mathrm { m } ^ { 2 } is incident on the first polarizer. (a)What is the intensity of the light after it passes through all three polarizers? (b)What is the intensity of the transmitted light if the second polarizer is removed?

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(a)1.81 W/...

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The distance between two asteroids is 1600 km.How much time does it take for a light signal to go from one asteroid to the other? (c = 3.0 × 108 m/s)


A) 19 ms
B) 4.5 ms
C) 5.3 ms
D) 13 ms
E) 19 µs

F) D) and E)
G) B) and E)

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Which one of the following is not an electromagnetic wave?


A) ultraviolet
B) infrared
C) radio waves
D) sound waves
E) gamma rays

F) C) and E)
G) A) and B)

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An FM radio station broadcasts at 96.7 MHz.What is the wavelength of the radio wave used for this broadcast? (c = 3.0 × 108 m/s)

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Unpolarized light passes through a combination of two ideal polarizers.The transmission axes of the first polarizer and the second polarizer are at 30.0° to each other.What percentage of the original light gets through the combination?


A) 37.5%
B) 50%
C) 75%
D) 100%

E) A) and B)
F) A) and C)

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How long does it take light to travel 1.0 m? (c = 3.0 × 108 m/s)


A) 3.3 ns
B) 3.3 μs
C) 3.3 ms
D) 3.3 s

E) None of the above
F) A) and B)

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Light passes through three ideal polarizing sheets.Unpolarized light enters the first sheet and the resultant vertically polarized beam continues through the second sheet and third sheet.The second sheet has its transmission axis at 50° with respect to the first sheet,and the third sheet is at 70° with respect to the first sheet. (a)What percent of the original intensity emerges from filter #1? (b)What percent of the original intensity emerges from filter #2? (c)What percent of the original intensity emerges from filter #3?

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(a)50%
(b...

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The maximum magnetic energy density of a sinusoidal electromagnetic wave is 8.95 × 10-5 J/m3.What is the amplitude of the B\vec { B } field component of this wave? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T ∙ m/A,ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 12.0 μT
B) 13.0 μT
C) 14.0 μT
D) 15.0 μT
E) 16.0 μT

F) B) and D)
G) None of the above

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About 1350 W/m2 of electromagnetic energy reaches the upper atmosphere of the earth from the sun,which is 1.5 × 1011 m away.Use this information to estimate the average power output of the sun.


A) 1 × 1026 W
B) 2 × 1026 W
C) 3 × 1026 W
D) 4 × 1026 W

E) B) and D)
F) C) and D)

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A certain electromagnetic field traveling in vacuum has a maximum electric field of 1200 V/m.What is the maximum B\vec { B } field of this wave? (c = 3.0 × 108 m/s)


A) 3.4 × 10-4 T
B) 4.0 × 10-6 T
C) 2.2 × 10-5 T
D) 9.6 × 10-6 T
E) 8.7 × 10-6 T

F) C) and E)
G) A) and B)

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A certain part of the electromagnetic spectrum ranges from 200 nm to 400 nm.What is the lowest frequency associated with this portion of the spectrum? (c = 3.00 × 108 m/s)


A) 1.50 × 1014 Hz
B) 7.50 × 1013 Hz
C) 7.50 × 1014 Hz
D) 7.50 × 1015 Hz
E) 1.50 × 1015 Hz

F) All of the above
G) B) and C)

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For an electromagnetic wave in free space having an E\vec { E } field of amplitude E1 and a B\vec { B } field of amplitude B1,the ratio of B1 /E1 is equal to


A) c
B) c2
C) 1/c
D) 1/c2
E) c\sqrt { c}

F) A) and D)
G) C) and D)

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An 8.00-mW laser beam emits a cylindrical beam of single-wavelength sinusoidal light 0.600 mm in diameter.What is the maximum value of the B\vec { B } field in the laser beam? (ε0 = 8.85 × 10-12 C2/N ∙ m20 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)


A) 9.24 µT
B) 17.2 µT
C) 12.4 µT
D) 20.5 µT
E) 15.4 µT

F) B) and C)
G) All of the above

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A 4.4 × 101410^{14} Hz laser emits a 2.1 μs pulse that is 5.0 mm in diameter.The energy density in the beam is 0.24 J/m30.24 \mathrm {~J} / \mathrm { m } ^ { 3 } How many wavelengths are there in the length of the beam? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T ∙ m/A,ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 9.2 × 108
B) 2.8 × 109
C) 2.8 × 108
D) 9.2 × 109
E) 2.8 × 1010

F) C) and D)
G) All of the above

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The following items are positioned in sequence: A source of a beam of natural light of intensity I0,three ideal polarizers A,B,and C; and an observer.Polarizer axis angles are measured clockwise from the vertical,as viewed by the observer.The axis angle of polarizer A is set at 0° (vertical) ,and the axis angle of polarizer C is set at 50°.The axis angle of polarizer B is set at 120°.What is ratio of the intensity of the beam at the observer to the intensity I0 of the source?


A) 0.015
B) 0.020
C) 0.025
D) 0.030
E) 0.035

F) A) and D)
G) A) and E)

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A radio station broadcasts at 80 MHz.How long does it take for this radio signal to travel a distance of 2.0×107 m2.0 \times 10 ^ { 7 } \mathrm {~m} through space? (c = 3.0 × 108 m/s)


A) 0.15 × 10-2 s
B) 15 ms
C) 6.7 × 10-2 s
D) 20 ms
E) 25 ms

F) All of the above
G) B) and D)

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When light in air strikes the flat surface of a certain glass at 31.2° with the normal,the reflected ray is 100 percent polarized.What is the critical angle for the air-glass interface of this glass?


A) 52.7°
B) 58.8°
C) 21.4°
D) 37.3°
E) 68.6°

F) B) and D)
G) A) and D)

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