Exam 27: Quantum Optics

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If the wavelength of a photon is doubled,what happens to its energy?

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When a photoelectric surface is illuminated with light of wavelength 437 nm,the stopping potential is measured to be 1.67 V.(1 eV = 1.60 × 10-19 J,e = 1.60 × 10-19 C,melectron = 9.11 × 10-31 kg,h = 6.626 × 10-34 J ∙ s) (a)What is the work function of the metal,in eV? (b)What is the maximum speed of the ejected electrons?

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An x-ray tube accelerates electrons through a potential difference of 50.0 kV.If an electron in the beam suddenly give up its kinetic energy in a collision,what is the shortest wavelength x-ray it could produce? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,e = 1.60 × 10-19 C)

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Monochromatic light falls on a metal surface and electrons are ejected.If the intensity of the light is increased,what will happen to the ejection rate and maximum energy of the electrons?

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If the scattering angle of the light in Compton's scattering experiment is 90°,what is the change in the wavelength of the light? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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By what primary heat transfer mechanism does the sun warm the earth?

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A blue laser beam is incident on a metallic surface,causing electrons to be ejected from the metal.If the frequency of the laser beam is increased while the intensity of the beam is held fixed,

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In her physics laboratory,Mathilda shines electromagnetic radiation on a material and collects photoelectric data to determine Planck's constant.She measures a stopping potential of 5.82 V for radiation of wavelength 100 nm,and 17.99 V for radiation of wavelength 50.0 nm.(1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s) (a)Using Mathilda's data,what value does she determine for Planck's constant? (b)What is the work function of the material Mathilda is using,in electron-volts?

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The cosmic background radiation permeating the universe has the spectrum of a 2.7-K blackbody radiator.What is the peak wavelength of this radiation? The constant in Wien's law is 0.0029 m ∙ K.

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If the wavelength of a photon is the same as the de Broglie wavelength of an electron,which one has the greater momentum?

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A laser emits a pulse of light that lasts 10 ns.The light has a wavelength of 690 nm,and each pulse has an energy of 480 mJ.How many photons are emitted in each pulse? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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A photocathode whose work function is 2.9 eV is illuminated with white light that has a continuous wavelength band from 400 nm to 700 nm.What is the range of the wavelength band in this white light illumination for which photoelectrons are not produced?(c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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As the temperature of a blackbody increases,what happens to the peak wavelength of the light it radiates?

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A 140-keV photon strikes an electron and scatters through an angle of 120° from its original direction.(melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s) (a)What is the wavelength of the photon before scattering? (b)What is the photon wavelength after scattering?

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If the wavelength of a light beam is doubled,what happens to the momentum of the photons in that light beam?

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In a Compton scattering experiment using x-rays,the wavelength of the x-rays increases by 5.0% as the light is scattered at an angle of 60° with its original direction.What was the original wavelength of the light before scattering? (melectron = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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Increasing the brightness of a beam of light without changing its color will increase

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A laser pulse of duration 25 ms has a total energy of 1.4 J.If the wavelength of this radiation is 567 nm,how many photons are emitted in one pulse? (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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If you double the frequency of the light in a laser beam,but keep the number of photons per second in the beam fixed,which of the following statements are correct? (There could be more than one correct choice.)

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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 energy of the scattered photon? (melectron =9.11×10−31 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=6.626×10−34 J⋅s)\left. h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)

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