Exam 25: Electromagnetic Waves

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An 800-kHz sinusoidal radio signal is detected at a point 2.1 km distant from a transmitter tower.The E⃗\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 ∙ m2,μ0 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)

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

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

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An electromagnetic wave travels in a vacuum in the +y direction,as shown in the figure.If the E⃗\vec { E } field at the origin is along the +z direction,what is the direction of the B⃗\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?

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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?

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

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At a certain instant in time,the E⃗\vec { E } field of an electromagnetic wave in a vacuum points in the -z direction,and the B⃗\vec { B } field points in the +y direction.In what direction is this wave traveling?

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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)

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

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What is the maximum value of the B⃗\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 ∙ m2,μ0 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)

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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?

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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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At a particular point and instant,the E⃗\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)

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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 B⃗\vec { B } field in that wave? (c = 3.0 × 108 m/s)

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

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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?

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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 B⃗\vec { B } field for that wave? (c = 3.00 × 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×10−7 T⋅m/A,\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , ε0=8.85×10−12C2/N⋅m2)\left. \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)

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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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How much energy is transported across a 1.00-cm2 area per hour by a sinusoidal electromagnetic wave whose E⃗\vec { E } field has the amplitude of 30.4 V/m? (ε0 = 8.85 × 10-12 C2/N ∙ m2,μ0 = 4π × 10-7 T ∙ m/A,c = 3.0 × 108 m/s)

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