Exam 27: Quantum Optics

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Two sources emit beams of microwaves.The microwaves from source A have a frequency of 10 GHz,and the ones from source B have a frequency of 20 GHz.This is all we know about the two beams.Which of the following statements about these beams are correct? (There could be more than one correct choice.)

(Multiple Choice)
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What is the photon energy of red light having a wavelength of 6.40 × 102 nm? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

(Multiple Choice)
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What is the momentum of a photon of light that has a frequency of 2.8 × 101410^{14} Hz? (c=3.00×108 m/s,\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , \right. h=6.626×10−34 J⋅s)\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)

(Multiple Choice)
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What is the cutoff (threshold)frequency for a metal surface that has a work function of 5.42 eV? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

(Multiple Choice)
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What is the frequency of the most intense radiation from an object with temperature 100°C? The constant in Wien's law is 0.0029 m ∙ K.(c = 3.0 × 108 m/s)

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A 29.0-pm-wavelength photon is scattered by a stationary electron.What is the maximum energy loss the photon can have? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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When it is struck by 240-nm photons,a material having a work function of 2.60 eV emits electrons.What is the maximum kinetic energy of the emitted electrons? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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A small gas laser of the type used in classrooms may radiate light at a power level of 2.0 mW.If the wavelength of the laser light is 642 nm,how many photons does it emit per second? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

(Short Answer)
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If the frequency of a light beam is doubled,what happens to the momentum of the photons in that beam of light?

(Multiple Choice)
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What is the wavelength of a 6.32-eV photon? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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When it is struck by 240-nm photons,a metal ejects electrons with a maximum kinetic energy of 2.58eV2.58 \mathrm { eV } What is the work function of this material? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 16.0 × 10-19 J)

(Multiple Choice)
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The surface temperature of the star is 6000 K.At what wavelength is its light output a maximum? The constant in Wien's law is 0.00290 m ∙ K.

(Multiple Choice)
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When light of wavelength 350 nm is incident on a metal surface,the stopping potential of the photoelectrons is 0.500 V.What is the maximum kinetic energy of these electrons? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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A photocathode having a work function of 2.8 eV is illuminated with monochromatic electromagnetic radiation whose photon energy is 4.0 eV.What is the threshold (cutoff)frequency for photoelectron production? (1 eV = 1.60 × 10-19 J,h = 6.626 × 10-34 J ∙ s)

(Multiple Choice)
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The human eye can just detect green light of wavelength 500 nm if it arrives at the retina at the rate of 2 × 10-18 W.How many photons arrive each second? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

(Short Answer)
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A photocathode that has a work function of 2.4 eV is illuminated with monochromatic light having photon energy 3.5 eV.What is the wavelength of this light? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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What frequency of electromagnetic radiation has photons of energy 4.7 × 10-25 J? (h = 6.626 × 10-34 J ∙ s)

(Multiple Choice)
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When a metal is illuminated by light,photoelectrons are observed provided that the wavelength of the light is less than 520 nm.What is the metal's work function? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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What is the energy (in eV)of an optical photon of frequency 6.43×1014 Hz6.43 \times 10 ^ { 14 } \mathrm {~Hz} (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

(Multiple Choice)
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A metal surface has a work function of 2.50 eV.What is the longest wavelength of light that will eject electrons from the surface of this metal? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

(Short Answer)
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