Exam 21: Electromagnetic Induction and Faradays Law

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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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An 8.00-mW laser beam emits a cylindrical beam of single-wavelength sinusoidal light 0.600 mm0.600 \mathrm {~mm} in diameter. What is the maximum value of the magnetic field in the laser beam? (ε0=8.85×\left( \varepsilon _ { 0 } = 8.85 \times \right. 1012C2/Nm2,μ0=4π×107 Tm/A,c=3.0×108 m/s)\left. 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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A 4.4×1014 Hz4.4 \times 10^{14} \mathrm {~Hz} laser emits a 2.1μ2.1 \mu s pulse that is 5.0 mm5.0 \mathrm {~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\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right. , μ0=4π×107 Tm/A,ε0=8.85×1012C2/Nm2\mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } )

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How much energy is transported across a 1.00cm21.00 - \mathrm { cm } ^ { 2 } area per hour by a sinusoidal electromagnetic wave whose electric field has a maximum strength of 30.4 V/m30.4 \mathrm {~V} / \mathrm { m } ? (ε0=8.85×1012C2/Nm2,μ0=\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } 2 / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = \right. 4π×107 Tm/A,c=3.0×108 m/s)\left. 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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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)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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Light with an average intensity of 683 W/m2683 \mathrm {~W} / \mathrm { m } ^ { 2 } falls on a black surface and is completely absorbed. What is the radiation pressure that the light exerts on this surface if it strikes perpendicular to the surface? (c=3.00×108 m/s)\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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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)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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A radio station broadcasts at a frequency of 80MHz80 \mathrm { MHz } . How far from the transmitter will this signal travel in 67 ms67 \mathrm {~ms} ? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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If the magnetic field in a traveling electromagnetic wave has a maximum value of 16.5nT16.5 \mathrm { nT } , what is the maximum value of the electric field associated with this wave? (c=3.00×108 m/s)\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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The maximum value of the electric field in an electromagnetic wave is 2.0 V/m2.0 \mathrm {~V} / \mathrm { m } . What is the maximum value of the magnetic field in that wave? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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Which one of the following is not an electromagnetic wave?

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About 1350 W/m21350 \mathrm {~W} / \mathrm { m } ^ { 2 } of electromagnetic energy reaches the upper atmosphere of the earth from the sun, which is 1.5×1011 m1.5 \times 10 ^ { 11 } \mathrm {~m} away. Use this information to estimate the average power output of the sun.

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A 7.55×1014 Hz7.55 \times 10 ^ { 14 } \mathrm {~Hz} electromagnetic wave travels in carbon tetrachloride with a speed of 2.05×1082.05 \times 10 ^ { 8 } m/s\mathrm { m } / \mathrm { s } . What is the wavelength of the wave in this material?

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An 800kHz800 - \mathrm { kHz } sinusoidal radio signal is detected at a point 6.6 km6.6 \mathrm {~km} from the transmitter tower. The electric field amplitude of the signal at that point is 0.780 V/m0.780 \mathrm {~V} / \mathrm { 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=8.85×1012\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \right. C2/Nm2,c=3.0×108 m/s,μ0=4π×107 Tm/A\mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } )

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A light source radiates 60.0 W60.0 \mathrm {~W} of single-wavelength sinusoidal light uniformly in all directions. What is the amplitude of the magnetic field of this light at a distance of 0.700 m0.700 \mathrm {~m} from the bulb? (ε0\left( \varepsilon _ { 0 } \right. =8.85×1012C2/Nm2,μ0=4π×107 Tm/A,c=3.0×108 m/s)\left. = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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A radiometer has two square vanes (1.0 cm( 1.0 \mathrm {~cm} by 1.0 cm)1.0 \mathrm {~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 cm6.0 \mathrm {~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. Radiant energy, having an intensity of 300 W/m2300 \mathrm {~W} / \mathrm { m } ^ { 2 } , is incident normally upon the vanes. What is the radiation pressure on the blackened vane? (c=3.0×108 m/s,μ0=4π×107 Tm/A,ε0=8.85×1012C2/Nm2)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)  A radiometer has two square vanes  ( 1.0 \mathrm {~cm}  by  1.0 \mathrm {~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 \mathrm {~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. Radiant energy, having an intensity of  300 \mathrm {~W} / \mathrm { m } ^ { 2 } , is incident normally upon the vanes. What is the radiation pressure on the blackened vane?  \left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } , \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right)

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For an electromagnetic wave in free space having an electric field of amplitude EE and a magnetic field of amplitude BB , the ratio of B/EB / E is equal to

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

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The wavelength of an electromagnetic wave is 600 nm600 \mathrm {~nm} . What is its frequency? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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The intensity of solar radiation near the earth is 1.4 kW/m21.4 \mathrm {~kW} / \mathrm { m } ^ { 2 } . What magnitude force does this radiation exert when it strikes at right angles to a 5.0m25.0 - \mathrm { m } ^ { 2 } perfectly reflecting solar panel of an artificial satellite orbiting the earth? (c=3.0×108 m/s)\left( c = 3.0 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)

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