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What is the maximum value of the magnetic field at a distance of 2.5 m from a light bulb that radiates 100 W of single-frequency sinusoidal electromagnetic waves uniformly in all directions? (ε0 = 8.85 × 10-12 C2/N ∙ m20 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)


A) 0.10 μT
B) 0.40 μT
C) 0.50 μT
D) 0.60 μT
E) 0.80 μT

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

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

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A vertically polarized beam of light of intensity 100 W/m2 passes through two ideal polarizers.The transmission axis of the first polarizer makes an angle of 20.0° with the vertical,and the transmission axis of the second one makes an angle of 40.0° with the vertical.What is the intensity of the light after it has passes through both polarizers?


A) 22.2 W/m2
B) 44.4 W/m2
C) 66.6 W/m2
D) 78.0 W/m2
E) 11.7 W/m2

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

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An electromagnetic wave is propagating towards the west in free space.At a certain moment the direction of the magnetic field vector associated with this wave points vertically upward.What is the direction of the electric 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) A) and B)
G) B) and D)

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What is the frequency of 20-mm microwaves? (c = 3.0 × 108 m/s)


A) 100 MHz
B) 400 MHz
C) 15 GHz
D) 73 GHz

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

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The amplitude of the electric field for a certain type of electromagnetic wave is 570 N/C.What is the amplitude of the magnetic field for that wave? (c = 3.00 × 108 m/s)


A) 2.91 µT
B) 1.90 µT
C) 1.10 µT
D) 1.41 µT
E) 2.41 µT

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

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A beam of light is polarized in a vertical plane and has an intensity I0.The beam passes through an ideal polarizer and then through an ideal analyzer whose axis is set horizontally.If the axis of the polarizer is set at 60° with the vertical,what is the ratio of the intensity of the final beam to I0?


A) 0.19
B) 0.25
C) 0.31
D) 0.37
E) 0.43

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

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Unpolarized light is incident upon two ideal polarizing filters that do not have their transmission axes aligned.If 19% Of the light passes through this combination,what is the angle between the transmission axes of the two filters?


A) 52°
B) 72°
C) 0°
D) 0°..

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

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At a certain instant in time,the electric field of an electromagnetic wave in free space points in the -z direction,and the magnetic field points in the +y direction.In what direction is this wave traveling?


A) +x direction
B) -x direction
C) +y direction
D) -z direction
E) +z direction

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

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For a certain electromagnetic wave in free space,at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction,as shown in the figure.In what direction is this wave traveling? For a certain electromagnetic wave in free space,at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction,as shown in the figure.In what direction is this wave traveling?   A) +x B) -x C) +y D) -y E) +z


A) +x
B) -x
C) +y
D) -y
E) +z

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

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Light of intensity S0 that is polarized horizontally passes through three ideal polarizers.The first and third are horizontal,but the second one is oriented at Light of intensity S<sub>0</sub> that is polarized horizontally passes through three ideal polarizers.The first and third are horizontal,but the second one is oriented at   To the horizontal.In terms of S<sub>0</sub>,the intensity of the light that passes through the set of polarizers is closest to which one of the following choices? A) 0.729 S<sub>0</sub> B) 0.125 S<sub>0</sub> C) 0.427 S<sub>0</sub> D) 0.854 S<sub>0</sub> To the horizontal.In terms of S0,the intensity of the light that passes through the set of polarizers is closest to which one of the following choices?


A) 0.729 S0
B) 0.125 S0
C) 0.427 S0
D) 0.854 S0

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

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How much energy is transported across a 1.00-cm2 area per hour by a sinusoidal electromagnetic wave whose electric field has a maximum strength of 30.4 V/m? (ε0 = 8.85 × 10-12 C2/N ∙ m20 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)


A) 0.44 nJ
B) 0.44 μJ
C) 0.44 mJ
D) 0.44 J

E) A) and D)
F) All of the above

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An ideal polarizer with its transmission axis rotated 30° to the vertical is placed in a beam of unpolarized light of intensity 10 W/m2.After passing through the polarizer,what is intensity of the beam?


A) 2.5 W/m2
B) 5.0 W/m2
C) 8.7 W/m2
D) 7.5 W/m2
E) 10 W/m2

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

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A sinusoidal electromagnetic wave has a peak electric field of A sinusoidal electromagnetic wave has a peak electric field of   What is the intensity of the wave?       A) 170 kW/m<sup>2</sup> B) 85 kW/m<sup>2</sup> C) 21 kW/m<sup>2</sup> D) 11 kW/m<sup>2</sup> What is the intensity of the wave? A sinusoidal electromagnetic wave has a peak electric field of   What is the intensity of the wave?       A) 170 kW/m<sup>2</sup> B) 85 kW/m<sup>2</sup> C) 21 kW/m<sup>2</sup> D) 11 kW/m<sup>2</sup> A sinusoidal electromagnetic wave has a peak electric field of   What is the intensity of the wave?       A) 170 kW/m<sup>2</sup> B) 85 kW/m<sup>2</sup> C) 21 kW/m<sup>2</sup> D) 11 kW/m<sup>2</sup> A sinusoidal electromagnetic wave has a peak electric field of   What is the intensity of the wave?       A) 170 kW/m<sup>2</sup> B) 85 kW/m<sup>2</sup> C) 21 kW/m<sup>2</sup> D) 11 kW/m<sup>2</sup>


A) 170 kW/m2
B) 85 kW/m2
C) 21 kW/m2
D) 11 kW/m2

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

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A laser beam takes 24 ms to travel from a rocket to the reflective surface of a planet and back to the rocket.How far is the rocket from this planet's surface? (c = 3.0 × 108 m/s)


A) 2400 km
B) 1200 km
C) 1800 km
D) 3600 km
E) 4800 km

F) B) and D)
G) C) and D)

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How far does a beam of light travel through space in one 365-day year? (c = 3.0 × 108 m/s)


A) 80 × 1012 m
B) 95 × 1014 m
C) 30 × 108 m
D) 20 × 1015 m
E) 36 × 1016 m

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

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A radiometer has two square vanes (1.0 cm by 1.0 cm) ,attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy that falls upon it.The other vane is blackened and it absorbs all incident radiant energy.Radiant energy,having an intensity of 300 W/m2,is incident normally upon the front surfaces of both vanes.What is the radiant power absorbed by the blackened vane? A radiometer has two square vanes (1.0 cm by 1.0 cm) ,attached to a light horizontal cross arm,and pivoted about a vertical axis through the center,as shown in the figure.The center of each vane is 6.0 cm from the axis.One vane is silvered and it reflects all radiant energy that falls upon it.The other vane is blackened and it absorbs all incident radiant energy.Radiant energy,having an intensity of 300 W/m<sup>2</sup>,is incident normally upon the front surfaces of both vanes.What is the radiant power absorbed by the blackened vane?   A) 0.030 W B) 0.040 W C) 0.050 W D) 0.060 W E) 0.090 W


A) 0.030 W
B) 0.040 W
C) 0.050 W
D) 0.060 W
E) 0.090 W

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

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The wavelength of an electromagnetic wave is 600 nm.What is its frequency? (c = 3.0 × 108 m/s)


A) 200 × 1012 Hz
B) 300 × 1012 Hz
C) 400 × 1012 Hz
D) 500 × 1012 Hz
E) 600 × 1012 Hz

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

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An electromagnetic wave travels in free space in the +y direction,as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field? An electromagnetic wave travels in free space in the +y direction,as shown in the figure.If the electric field at the origin is along the +z direction,what is the direction of the magnetic field?   A) +z B) -z C) +y D) +x E) -x


A) +z
B) -z
C) +y
D) +x
E) -x

F) C) and D)
G) B) and C)

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An 800-kHz sinusoidal radio signal is detected at a point 6.6 km from the transmitter tower.The electric field amplitude of the signal at that point is 0.780 V/m.Assume that the signal power is radiated uniformly in all directions and that radio waves incident upon the ground are completely absorbed.What is the amplitude of the magnetic field of the signal at that point? (ε0 = 8.85 × 10-12 C2/N ∙ m2,c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T ∙ m/A)


A) 2.6 nT
B) 2.1 nT
C) 1.6 nT
D) 3.1 nT
E) 3.6 nT

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

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