Exam 27: Quantum Optics

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A blacksmith is flattening a steel plate having dimensions 10 cm × 15 cm × 1 mm.He has heated the plate to 900 K.If the emissivity of the plate is 0.75,at what rate does it lose energy by radiation? Ignore any heat exchange with the surroundings.(σ = 5.67 × 10-8 W/m2 ∙ K4)

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D

X-rays of energy 3.5 x 10410^4 eV scatter through an angle of 105° off of a free electron.What is the energy (in eV)of the scattered x-rays? (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)

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3.2 × 104 eV

X-rays with a wavelength of 0.00100 nm are scattered at 130° by free electrons.What is the kinetic energy of each recoil electron? (1 eV = 1.60 × 10-19 J,melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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What is the momentum of a photon of light that has a wavelength of 480 nm? (h=6.626×1034 Js)( h = 6.626 \times 10 ^{- 34} \mathrm {~J} \cdot \mathrm { s } )

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The work function of a particular metal is 4.20×1019 J4.20 \times 10 ^{- 19} \mathrm {~J} What is the photoelectric cutoff (threshold)wavelength for this metal? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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The work function of a certain metal is 1.90 eV.What is the longest wavelength of light that can cause photoelectron emission from this metal? (1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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A metal has a work function of 4.50 eV.Find the maximum kinetic energy of the photoelectrons if light of wavelength 250 nm shines on the metal.(1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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A photon of blue light and a photon of red light are traveling in vacuum.The photon of blue light

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The radius of a star is 6.95 × 108 m,and its rate of radiation has been measured to be 5.32 × 1026 W.Assuming that it is a perfect emitter,what is the temperature of the surface of this star? (σ = 5.67 × 10-8 W/m2 ∙ K4)

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For what wavelength does a 100-mW laser beam deliver 1.6 × 1017 photons in one second? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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A photon scatters off of a stationary electron.Which of the following statements about the photon are true? (There could be more than one correct choice.)

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What is the wavelength of a photon having energy 2.00 eV? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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A certain photon,after being scattered from a free electron that was at rest,moves at an angle of 120° with respect to the incident direction.If the wavelength of the incident photon is 0.591 nm, what is the wavelength of the scattered photon? (melectron =9.11×1031 kg,\left( m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , \right. c=3.00×108 m/sc = 3.00 \times 10^8 \mathrm {~m} / \mathrm { s } h=6.626×1034 Js)h = 6.626 \times 10^{ - 34} \mathrm {~J} \cdot \mathrm { s } )

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A photoelectric surface has a work function of 2.10 eV.Calculate the maximum kinetic energy,in eV,of electrons ejected from this surface by electromagnetic radiation of wavelength 356 nm.(1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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How much power does a sphere with a radius of 10 cm radiate into empty space if is has an emissivity of 1.0 and is kept at a temperature of 400 K? (σ = 5.67 × 10-8 W/m2 ∙ K4)

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Photon A has twice the momentum of photon B as both of them are traveling in vacuum.Which statements about these photons are correct? (There could be more than one correct choice.)

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A monochromatic light beam is incident on the surface of a metal having a work function of 2.50 eV.If a 1.0-V stopping potential is required to make the electron current zero,what is the wavelength of light? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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When the surface of a metal is exposed to blue light,electrons are emitted.If the intensity of the blue light is increased,which of the following things will also increase?

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A beam of light falling on a metal surface is causing electrons to be ejected from the surface.If we now double the frequency of the light,which of the following statements are correct? (There could be more than one correct choice.)

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A giant star radiates energy at the rate of 3.0 × 1030 W,and its surface temperature has been measured to be 3000 K.Assuming that it is a perfect emitter,what is the radius of this star?(σ = 5.67 × 10-8 W/m2 ∙ K4)

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