Exam 28: Quantum Physics

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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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A certain crystal has a spacing of 0.442 nm between atoms. A beam of neutrons moving with a speed of 1640 m/s perpendicular to the surface is diffracted as it passes through the crystal. What is the angle from the central maximum to the next interference maximum? (mneutron = 1.675 × 10-27 kg, h = 6.626 × 10-34 J ∙ s)

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The work function of a particular metal is 4.20×10−19 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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Protons are being accelerated in a particle accelerator. When the speed of the protons is doubled, their de Broglie wavelength will

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Light of a given wavelength is used to illuminate the surface of a metal, however, no photoelectrons are emitted. In order to cause electrons to be ejected from the surface of this metal you should

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For a certain metal, light of frequency 7.24 × 10-14 Hz is just barely able to dislodge photoelectrons from the metal. (h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J, e = 1.60 × 10-19C) (a) What will be the stopping potential if light of frequency 8.75 × 10-14 Hz is shone on the metal? (b) What is the work function (in electron-volts) of this metal?

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Gamma rays are photons with very high energy. How many visible-light photons with a wavelength of 500 nm would you need to equal the energy of a gamma-ray photon with energy 4.1×10−13 J?4.1 \times 10 ^{- 13} \mathrm {~J} ?

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After an electron has been accelerated through a potential difference of 0.15 kV, what is its de Broglie wavelength? (e = 1.60 × 10-19 C, melectron = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s)

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If a proton and an electron have the same de Broglie wavelengths, which one is moving faster?

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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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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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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 threshold (cutoff) frequency of this metal? (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 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)

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A proton and an electron are both accelerated to the same final speed. If λp is the de Broglie wavelength of the proton and λe is the de Broglie wavelength of the electron, then

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Calculate the kinetic energy, in electron-volts, of a neutron that has a de Broglie wavelength of 7.2×10−12 m7.2 \times 10 ^{- 12 }\mathrm {~m} (mneutron = 1.675 × 10-27 kg, 1 eV = 1.6 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

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If the longest wavelength of light that is able to dislodge electrons from a metal is 373 nm, what is the work function of that metal, in electron-volts? (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 "slow" must a 200-g ball move to have a de Broglie wavelength of 1.0 mm? (h = 6.626 × 10-34 J ∙ s)

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Electrons with a speed of 2.1 × 106 m/s are directed towards a 1.0-μm wide slit. An electron detector is placed 1.0 m behind the slit. How wide is the central maximum of the electron diffraction pattern on the detector? (h = 6.626 × 10-34 J ∙ s, melectron = 9.11 × 10-31 kg)

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What is the wavelength of the matter wave associated with an electron moving with a speed of 2.5 × 107 m/s? (melectron = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ∙ s)

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When light of wavelength 350 nm is incident on a metal surface, the stopping potential of the photoelectrons is measured to be 0.500 V. What is the work function of this metal? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

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