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What is a light-year in SI units?


A) 3.0×1015 m3.0 \times 1015 \mathrm{~m}
B) 3.0×1011 m3.0 \times 1011 \mathrm{~m}
C) 1.1×1011 m1.1 \times 10^{11} \mathrm{~m}
D) 4.5×1037 m4.5 \times 1037 \mathrm{~m}
E) 9.5×1015 m9.5 \times 1015 \mathrm{~m}

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

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E

If a 20 W20 \mathrm{~W} laser beam, which has an initial diameter of 2.0 mm2.0 \mathrm{~mm} , spreads out to a diameter of 2.0 m2.0 \mathrm{~m} after traveling 10,000 m10,000 \mathrm{~m} , what is the final intensity of the beam?


A) 20×106 W/m220 \times 10^{-6} \mathrm{~W} / \mathrm{m}^{2}
B) 6.4×106 W/m26.4 \times 10^{-6} \mathrm{~W} / \mathrm{m}^{2}
C) 20×104 W/m220 \times 10^{-4} \mathrm{~W} / \mathrm{m}^{2}
D) 20×108 W/m220 \times 10^{-8} \mathrm{~W} / \mathrm{m}^{2}
E) 6.4 W/m26.4 \mathrm{~W} / \mathrm{m}^{2}

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

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ε0μ0=\varepsilon_{0} \mu_{0}= ?


A) C2\mathrm{C}^{-2}
B) C\mathrm{C}
C) c2\mathrm{c}^{2}
D) C1\mathrm{C}^{-1}
E) C1/2\mathrm{C}^{1 / 2}

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

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Which of the following is the direction of an electromagnetic wave having electric and magnetic field vectors E\mathbf{E} and B\mathbf{B} ?


A) B×E\mathbf{B} \times \mathbf{E}
B) E×B\mathbf{E} \times \mathbf{B}
C) B\mathbf{B}
D) E\mathbf{E}
E) E+B\mathbf{E}+\mathbf{B}

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

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How fast would you have to drive in order to see a red light as green? Assume λ=630 nm\lambda=630 \mathrm{~nm} for red and λ=\lambda= 530 nm530 \mathrm{~nm} for green.


A) 5×107 m/s5 \times 10^{7} \mathrm{~m} / \mathrm{s}
B) 5×105 m/s5 \times 105 \mathrm{~m} / \mathrm{s}
C) 5×106 m/s5 \times 106 \mathrm{~m} / \mathrm{s}
D) 5×104 m/s5 \times 104 \mathrm{~m} / \mathrm{s}

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

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A 20 W20 \mathrm{~W} laser beam, with an initial diameter of 2.0 mm2.0 \mathrm{~mm} , spreads out to a diameter of 2.0 m2.0 \mathrm{~m} after traveling 10,000 m10,000 \mathrm{~m} . What is the initial intensity of the beam?


A) 6.4×106 W/m26.4 \times 10^{6} \mathrm{~W} / \mathrm{m}^{2}
B) 1.0×105 W/m21.0 \times 105 \mathrm{~W} / \mathrm{m}^{2}
C) 2.0×105 W/m22.0 \times 10^{5} \mathrm{~W} / \mathrm{m}^{2}
D) 3.2×106 W/m23.2 \times 10^{6} \mathrm{~W} / \mathrm{m}^{2}
E) 20×106 W/m220 \times 106 \mathrm{~W} / \mathrm{m}^{2}

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

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In vacuum, the components of an EM2\mathrm{EM}^{2} wave are Ey=(50 V/m) cos[(5.00 m1) x+ωt],Ex=0\mathrm{E}_{\mathrm{y}}=(50 \mathrm{~V} / \mathrm{m}) \cos \left[\left(5.00 \mathrm{~m}^{-1}\right) \mathrm{x}+\omega \mathrm{t}\right], \mathrm{E}_{\mathrm{x}}=0 , and Ez=0\mathrm{E}_{\mathrm{z}}=0 . In what direction is this wave moving?


A) positive yy -direction
B) negative xx -direction
C) positive xx -direction
D) positive or negative z-direction
E) negative y-direction

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

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Household wiring can emit electromagnetic waves of frequency 60 Hz60 \mathrm{~Hz} . What is the wavelength of these waves?


A) 5.0×106 m5.0 \times 10^{6} \mathrm{~m}
B) 5.0×104 m5.0 \times 10^{4} \mathrm{~m}
C) 5.0×103 m5.0 \times 10^{3} \mathrm{~m}
D) 5.0×102 m5.0 \times 10^{2} \mathrm{~m}
E) 5.0×105 m5.0 \times 10^{5} \mathrm{~m}

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

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Using the approximate formula for the Doppler shift, fofS(1+vrel/c) \mathrm{f}_{\mathrm{o}} \approx \mathrm{f}_{\mathrm{S}}\left(1+\mathrm{v}_{\mathrm{rel}} / \mathrm{c}\right) one finds that a source is moving away at 0.60c0.60 \mathrm{c} . What result would the exact formula yield for the recession speed?


A) 0.40c0.40 \mathrm{c}
B) 0.84c0.84 \mathrm{c}
C) 0.54c0.54 \mathrm{c}
D) 0.72c0.72 \mathrm{c}
E) 0.60c0.60 \mathrm{c}

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

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Nexrad radar uses electromagnetic radiation of frequency of 2.7GHz2.7 \mathrm{GHz} to measure the speed of cloud systems. Radio waves from a transmitter are sent outward toward a cloud system, and the waves are reflected back toward the source. If the cloud system is moving, the reflected waves will be Doppler shifted. Suppose a Nexrad system observes clouds moving toward the transmitter at 21 m/s21 \mathrm{~m} / \mathrm{s} . What is the difference between the transmitted and received frequencies of the radar in this case?


A) 570 Hz570 \mathrm{~Hz}
B) 190 Hz190 \mathrm{~Hz}
C) 380 Hz380 \mathrm{~Hz}
D) 760 Hz760 \mathrm{~Hz}

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

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What is the wave number for a wavelength of 600 nm600 \mathrm{~nm} ?


A) 9.55×108 m9.55 \times 10^{-8} \mathrm{~m}
B) 600 nm600 \mathrm{~nm}
C) 9.55×108 m19.55 \times 10^{-8} \mathrm{~m}^{-1}
D) 1.05×107 m11.05 \times 10^{7} \mathrm{~m}^{-1}
E) 1.67×106 m11.67 \times 10^{6} \mathrm{~m}^{-1}

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

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D

What is the speed of light in a material that has an index of refraction of 2.0?


A) 1.5×108 m/s1.5 \times 10^{8} \mathrm{~m} / \mathrm{s}
B) 2.0×108 m/s2.0 \times 10^{8}\mathrm{~m} / \mathrm{s}
C) 5.0×108 m/s5.0 \times 10^{8} \mathrm{~m} / \mathrm{s}
D) 6.0×108 m/s6.0 \times 10^{8} \mathrm{~m} / \mathrm{s}
E) No such index can exist.

F) None of the above
G) C) and D)

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The Sun is 1.50×108 km1.50 \times 10^{8} \mathrm{~km} from the Earth. How long does it take for light to reach us from the Sun?


A) 8.33 min8.33 \mathrm{~min}
B) 2.00 s2.00 \mathrm{~s}
C) 0.50 s0.50 \mathrm{~s}
D) 2.00 ms2.00 \mathrm{~ms}
E) almost instantaneous

F) None of the above
G) A) and E)

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A

If the intensity of radiation from the Sun is 1.4 kW/m21.4 \mathrm{~kW} / \mathrm{m}^{2} at a distance of 150×106 km150 \times 10^{6} \mathrm{~km} , at what distance is the intensity 5.6 kW/m25.6 \mathrm{~kW} / \mathrm{m}^{2} ?


A) 75×106 km75 \times 10^{6} \mathrm{~km}
B) 38×106 km38 \times 106 \mathrm{~km}
C) 100×106 km100 \times 10^{6} \mathrm{~km}
D) 300×106 km300 \times 10^{6} \mathrm{~km}
E) less than 30×106 km30 \times 10^{6} \mathrm{~km}

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

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At the summer solstice in June, at what latitude is the Sun directly overhead at solar noon?


A) 23.5S23.5^{\circ} \mathrm{S}
B) 23.5N23.5^{\circ} \mathrm{N}
C) 40.0N40.0^{\circ} \mathrm{N}
D) 66.5N66.5^{\circ} \mathrm{N}
E) 0.00.0^{\circ} (the equator)

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

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In vacuum, the components of an EM\mathrm{EM} wave are Ey=(50 V/m) cos[(5.00 m1) x+ωt],Ex=0\mathrm{E}_{\mathrm{y}}=(50 \mathrm{~V} / \mathrm{m}) \cos \left[\left(5.00 \mathrm{~m}^{-1}\right) \mathrm{x}+\omega \mathrm{t}\right], \mathrm{E}_{\mathrm{x}}=0 , and EZ=0\mathrm{E}_{\mathrm{Z}}=0 . What is the wavelength of the wave?


A) 1.26 m1.26 \mathrm{~m}
B) 2.52 m2.52 \mathrm{~m}
C) 5.00 m5.00 \mathrm{~m}
D) 0.200 m0.200 \mathrm{~m}
E) 0.796 m0.796 \mathrm{~m}

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

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If unpolarized light with Erms=20 V/m\mathrm{E}_{\mathrm{rms}}=20 \mathrm{~V} / \mathrm{m} is passed through a polarizer, what is the transmitted Erms\mathrm{E}_{\mathrm{rms}} ?


A) 20 V/m20 \mathrm{~V} / \mathrm{m}
B) 5.0 V/m5.0 \mathrm{~V} / \mathrm{m}
C) 10 V/m10 \mathrm{~V} / \mathrm{m}
D) 7.1 V/m7.1 \mathrm{~V} / \mathrm{m}
E) 14 V/m14 \mathrm{~V} / \mathrm{m}

F) A) and B)
G) A) and E)

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What iindex of refraction halves the wavelength that light has in a vacuum?


A) 2.00
B) 1.33
C) 5.00
D) 1.41
E) 1.50

F) A) and B)
G) B) and E)

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In vacuum, the components of an EM\mathrm{EM} wave are Ey=(50 V/m) cos[(5.00 m1) x+ωt],Ex=0\mathrm{E}_{\mathrm{y}}=(50 \mathrm{~V} / \mathrm{m}) \cos \left[\left(5.00 \mathrm{~m}^{-1}\right) \mathrm{x}+\omega \mathrm{t}\right], \mathrm{E}_{\mathrm{x}}=0 , and Ez=0\mathrm{E}_{\mathrm{z}}=0 . What is ω\omega ?


A) 1.00×109rad/s1.00 \times 10^{9} \mathrm{rad} / \mathrm{s}
B) 1.50×109rad/s1.50 \times 10^{9} \mathrm{rad} / \mathrm{s}
C) 8.00×108rad/s8.00 \times 10^{8} \mathrm{rad} / \mathrm{s}
D) 1.20×109rad/s1.20 \times 10^{9} \mathrm{rad} / \mathrm{s}
E) More information is needed.

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

Correct Answer

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In vacuum, the components of an EM\mathrm{EM} wave are Ey=(50 V/m) cos[(5.0 m1) x+ωt],Ex=0\mathrm{E}_{\mathrm{y}}=(50 \mathrm{~V} / \mathrm{m}) \cos \left[\left(5.0 \mathrm{~m}^{-1}\right) \mathrm{x}+\omega \mathrm{t}\right], \mathrm{E}_{\mathrm{x}}=0 , and EZ=0\mathrm{E}_{\mathrm{Z}}=0 . What is the amplitude of the magnetic field for this wave?


A) 1.50×106 T1.50 \times 10^{-6} \mathrm{~T}
B) 1.67×107 T1.67 \times 10^{-7} \mathrm{~T}
C) 2.00×107 T2.00 \times 10^{-7} \mathrm{~T}
D) 5.00×107 T5.00 \times 10^{-7} \mathrm{~T}
E) 1.33×106 T1.33 \times 10^{-6} \mathrm{~T}

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

Correct Answer

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