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A cordless phone operates at 900 MHz.What is the wavelength of the electromagnetic wave used by this phone? (c = 3.0 × 108 m/s)

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A sinusoidal electromagnetic wave has a peak electric field of 8.00kV/m8.00 \mathrm { kV } / \mathrm { m } What is the intensity of the wave? (c=3.0×108 m/s,\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \right. μ0=4π×107 Tm/A,\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , ε0=8.85×1012C2/Nm2) \left. \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)


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

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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

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A certain part of the electromagnetic spectrum ranges from 200 nm to 400 nm.What is the highest 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

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If unpolarized light of intensity I0 passes through an ideal polarizer,what is the intensity of the emerging light?


A) I0
B) I0/2
C) I0/4
D) I0/ 2\sqrt { 2 }
E) I0/16

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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

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The maximum value of the electric field in an electromagnetic wave is 2.0 V/m.What is the maximum value of the B\vec { B } field in that wave? (c = 3.0 × 108 m/s)


A) 6.7 pT
B) 6.7 mT
C) 6.7 nT
D) 6.7 μT
E) 6.7 T

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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 B\vec { B } 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

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An electromagnetic wave travels in a vacuum in the +y direction,as shown in the figure.If the E\vec { E } field at the origin is along the +z direction,what is the direction of the B\vec { B } field?  An electromagnetic wave travels in a vacuum in the +y direction,as shown in the figure.If the  \vec { E }  field at the origin is along the +z direction,what is the direction of the  \vec { B }  field?   A) +z B) -z C) +y D) +x E) -x


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

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A radio transmitter is operating at an average power of 4.00 kW4.00 \mathrm {~kW} and is radiating uniformly in all directions.What is the average intensity of the signal 8.00 km8.00 \mathrm {~km} from the transmitter?


A) 4.97 μW/m2
B) 2.49 μW/m2
C) 0.00497 W/m2
D) 0.00249 W/m2

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Unpolarized light of intensity I0 passes through four ideal polarizing sheets.The polarizing angle of each sheet is rotated 30° from the one before it,so that the last sheet is aligned at 90° to the first sheet.What is the intensity of the light emerging from the fourth sheet in terms of I0?

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Which one of the following lists gives the correct order of the electromagnetic waves from longer wavelength to shorter wavelength?


A) radio waves, infrared, microwaves, ultraviolet, visible, x-rays, gamma rays
B) radio waves, ultraviolet, x-rays, microwaves, infrared, visible, gamma rays
C) radio waves, microwaves, visible, x-rays, infrared, ultraviolet, gamma rays
D) radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays
E) radio waves, infrared, x-rays, microwaves, ultraviolet, visible, gamma rays

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What is the maximum value of the B\vec { B } 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

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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

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An 800-kHz sinusoidal radio signal is detected at a point 2.1 km distant from a transmitter tower.The E\vec { E } field amplitude of the signal at that point is 0.80 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 intensity of the radio signal at that point? (ε0 = 8.85 × 10-12 C2/N ∙ m20 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)


A) 8.5 × 10-4 W/m2
B) 1.2 × 10-3 W/m2
C) 1.7 × 10-3 W/m2
D) 6.0 × 10-4 W/m2
E) 4.2 × 10-4 W/m2

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Which one of the following expressions is the correct representation for the speed of light in vacuum?


A) ε0μ0\sqrt { \varepsilon _ { 0 } \mu _ { 0 } }
B) ε0/μ0\sqrt { \varepsilon 0 / \mu 0 }
C) μ0/ε0\sqrt { \mu _ { 0 } / \varepsilon _ { 0 } }
D) 1 / ε0μ0\sqrt { \varepsilon _ { 0 } \mu _ { 0 } }
E) 1 / ε0μ0

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At a certain instant in time,the E\vec { E } field of an electromagnetic wave in a vacuum points in the -z direction,and the B\vec { B } 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

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At a particular point and instant,the E\vec { E } field component of an electromagnetic wave is 15.0 μT.What is the magnetic energy density of this wave at that point and instant? (c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T ∙ m/A,ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 2.26 × 10-4 J/m3
B) 8.95 × 10-5 J/m3
C) 1.79 × 10-4 J/m3
D) 4.47 × 10-4 J/m3
E) 9.72 × 10-5 J/m3

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How much energy is transported across a 1.00-cm2 area per hour by a sinusoidal electromagnetic wave whose E\vec { E } field has the amplitude 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

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A ray of light traveling in water hits a glass surface.The index of refraction of the water is 1.33,and that of the glass is 1.50.At what angle with the plane of the surface must the incident ray strike the glass in order that the polarization of the reflected ray is the greatest?


A) 36.9°
B) 33.7°
C) 41.6°
D) 48.4°
E) 53.1°

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