Exam 32: Electromagnetic Waves

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Which one of the following lists is a correct representation of electromagnetic waves from longer wavelength to shorter wavelength?

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In an electromagnetic wave,the electric and magnetic fields are oriented such that they are

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If the intensity of an electromagnetic wave is 80 MW/m2,what is the amplitude of the magnetic field of this wave? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A, If the intensity of an electromagnetic wave is 80 MW/m<sup>2</sup>,what is the amplitude of the magnetic field of this wave? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   .What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s) = (0.082 V/m) A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by   = (0.082 V/m)   .What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 10<sup>8</sup> m/s) .What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 108 m/s)

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A totally absorbing surface having an area of 7.7 cm2 faces a small source of sinusoidal electromagnetic radiation that is 2.4 m away.At the surface,the electric field amplitude of the radiation is 84 V/m. A totally absorbing surface having an area of 7.7 cm<sup>2</sup> faces a small source of sinusoidal electromagnetic radiation that is 2.4 m away.At the surface,the electric field amplitude of the radiation is 84 V/m.   μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,   (a)What is the radiation pressure exerted on the surface? (b)What is the total power output of the source,if it is assumed to radiate uniformly in all directions? μ0 = 4π × 10-7 T • m/A, A totally absorbing surface having an area of 7.7 cm<sup>2</sup> faces a small source of sinusoidal electromagnetic radiation that is 2.4 m away.At the surface,the electric field amplitude of the radiation is 84 V/m.   μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,   (a)What is the radiation pressure exerted on the surface? (b)What is the total power output of the source,if it is assumed to radiate uniformly in all directions? (a)What is the radiation pressure exerted on the surface? (b)What is the total power output of the source,if it is assumed to radiate uniformly in all directions?

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Near the earth the intensity of radiation from the sun is 1.35 kW/m2.What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 108 m/s, Near the earth the intensity of radiation from the sun is 1.35 kW/m<sup>2</sup>.What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 10<sup>8</sup> m/s,   ,  , Near the earth the intensity of radiation from the sun is 1.35 kW/m<sup>2</sup>.What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 10<sup>8</sup> m/s,   ,

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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 incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m2 is incident normally upon the vanes.What is the torque due to radiation pressure on the vane assembly about the vertical axis? 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 incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the torque due to radiation pressure on the vane assembly about the vertical axis?   ,   ,    , 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 incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the torque due to radiation pressure on the vane assembly about the vertical axis?   ,   ,    , 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 incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the torque due to radiation pressure on the vane assembly about the vertical axis?   ,   ,    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 incident upon it.The other vane is blackened and it absorbs all incident radiant energy.An electromagnetic wave with an intensity of 0.30 kW/m<sup>2</sup> is incident normally upon the vanes.What is the torque due to radiation pressure on the vane assembly about the vertical axis?   ,   ,

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A 7.5 × 1014 Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m3.What is the amplitude of the electric field of the emitted waves? A 7.5 × 10<sup>14</sup> Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m<sup>3</sup>.What is the amplitude of the electric field of the emitted waves?   ,   ,  , A 7.5 × 10<sup>14</sup> Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m<sup>3</sup>.What is the amplitude of the electric field of the emitted waves?   ,   ,  , A 7.5 × 10<sup>14</sup> Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m<sup>3</sup>.What is the amplitude of the electric field of the emitted waves?   ,   ,

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The total electromagnetic power emitted by the sun is 3.8 × 1026 W.What is the radiation pressure on a totally absorbing satellite at the orbit of Mercury,which has an orbital radius of 5.8 × 1010 m? The total electromagnetic power emitted by the sun is 3.8 × 10<sup>26</sup> W.What is the radiation pressure on a totally absorbing satellite at the orbit of Mercury,which has an orbital radius of 5.8 × 10<sup>10</sup> m?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  ,μ0 = 4π × 10-7 T • m/A, The total electromagnetic power emitted by the sun is 3.8 × 10<sup>26</sup> W.What is the radiation pressure on a totally absorbing satellite at the orbit of Mercury,which has an orbital radius of 5.8 × 10<sup>10</sup> m?   ,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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The energy per unit volume in an electromagnetic wave is

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The y-component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation Ey = (375 N/C)cos[kx - (2.20 × 1014 rad/s)t]. The y-component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation E<sub>y</sub> = (375 N/C)cos[kx - (2.20 × 10<sup>14</sup> rad/s)t].   (a)What is the largest that the x-component of the wave can be? (b)What is the largest that the z-component of the wave can be? (a)What is the largest that the x-component of the wave can be? (b)What is the largest that the z-component of the wave can be?

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When an electromagnetic wave falls on a white,perfectly reflecting surface,it exerts a force F on that surface.If the surface is now painted a perfectly absorbing black,what will be the force that the same wave will exert on the surface?

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If the magnetic field of an electromagnetic wave is in the +x-direction and the electric field of the wave is in the +y-direction,the wave is traveling in the

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If a beam of electromagnetic radiation has an intensity of 120 W/m2,what is the maximum value of the electric field? (c = 3.0 × 108 m/s,μ0 = 4π × 10-7 T • m/A, If a beam of electromagnetic radiation has an intensity of 120 W/m<sup>2</sup>,what is the maximum value of the electric field? (c = 3.0 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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An 800-kHz radio signal is detected at a point 9.1 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.440 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 average total power radiated by the transmitter? An 800-kHz radio signal is detected at a point 9.1 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.440 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 average total power radiated by the transmitter?   , μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  , μ0 = 4π × 10-7 T • m/A, An 800-kHz radio signal is detected at a point 9.1 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.440 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 average total power radiated by the transmitter?   , μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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A laser beam has a wavelength of 633 nm and a power of 0.500 mW spread uniformly over a circle 1.20 mm in diameter.This beam falls perpendicularly on a perfectly reflecting piece of paper having twice the diameter of the laser beam and a mass of 1.50 mg.(c = 3.00 × 108 m/s,μ0 = 4π × 10-7 T • m/A, A laser beam has a wavelength of 633 nm and a power of 0.500 mW spread uniformly over a circle 1.20 mm in diameter.This beam falls perpendicularly on a perfectly reflecting piece of paper having twice the diameter of the laser beam and a mass of 1.50 mg.(c = 3.00 × 10<sup>8</sup> m/s,μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,   (a)What are the amplitudes of the electric and magnetic fields in this laser beam? (b)What acceleration does the laser beam give to the paper? (a)What are the amplitudes of the electric and magnetic fields in this laser beam? (b)What acceleration does the laser beam give to the paper?

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An electromagnetic wave is propagating towards the west.At a certain moment the direction of the magnetic field vector associated with this wave points vertically up.The direction of the electric field vector of this wave is

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A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source?   μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>) μ0 = 4π × 10-7 T • m/A,ε0 = 8.85 × 10-12 C2/N • m2)

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A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 108 m/s, A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 10<sup>8</sup> m/s,   ,  , A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 10<sup>8</sup> m/s,   ,

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An 800-kHz radio signal is detected at a point 2.7 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.36 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? An 800-kHz radio signal is detected at a point 2.7 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.36 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?   , μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,  , μ0 = 4π × 10-7 T • m/A, An 800-kHz radio signal is detected at a point 2.7 km distant from a transmitter tower.The electric field amplitude of the signal at that point is 0.36 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?   , μ<sub>0</sub> = 4π × 10<sup>-7</sup> T • m/A,

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