Exam 28: Quantum Physics

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The lattice spacing of the principal Bragg planes in sodium chloride is 0.282 nm. For what wavelength of x-rays will the first order reflected beam diffract at 55° with respect to the normal to the crystal planes?

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Which of the following actions will increase the de Broglie wavelength of a speck of dust? (There could be more than one correct 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)

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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)

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If the maximum possible accuracy in measuring the position of a particle increases, the maximum possible accuracy in measuring its velocity will

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Two sources emit beams of light of wavelength 550 nm. The light from source A has an intensity of 10 µW/m2, and the light from source B has an intensity of 20 µW/m2. 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.)

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If the maximum possible accuracy in measuring the velocity of a particle increases, the maximum possible accuracy in measuring its position will

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What is the longest wavelength of electromagnetic radiation that will eject photoelectrons from sodium metal for which the work function is 2.28 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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Certain planes of a crystal of halite have a spacing of 0.399 nm. The crystal is irradiated by a beam of x-rays. First order constructive interference occurs when the beam makes an angle of 20° with the planes of the crystal surface. What is the wavelength of the x-rays?

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The spacing of the atoms of a crystal is 159 pm. A monoenergetic beam of neutrons directed normally at the surface of the crystal undergoes first order diffraction at an angle of 58° from the normal. What is the energy of each of the neutrons? (mneutron = 1.675 × 10-27 kg, 1 eV = 1.6 × 10-19 J, h = 6.626 × 10-34 J ∙ s)

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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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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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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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A proton has a speed of 7.2 x 10410^4 m/s. What is the energy of a photon that has the same wavelength as the de Broglie wavelength of this proton? (melectron = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s)

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A metallic surface is illuminated with light of wavelength 400 nm. If the work function for this metal is 2.40 eV, what is the maximum kinetic energy of the ejected electrons, 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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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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Certain planes of a crystal of halite have a spacing of 0.399 nm. The crystal is irradiated by a beam of x-rays. First order constructive interference occurs when the beam makes an angle of 20° with the planes of the crystal surface. What angle does the beam make with the crystal planes for second order constructive?

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What is the de Broglie wavelength of a ball of mass 200 g moving at 30 m/s? (h = 6.626 × 10-34 J ∙ s)

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An electron has the same de Broglie wavelength as the wavelength of a 1.8 eV photon. What is the speed of the electron? (melectron = 9.11 × 10-31 kg, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10-19 J)

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What is the wavelength of the matter wave associated with a 0.50-kg ball moving at 25 m/s? (h = 6.626 × 10-34 J ∙ s)

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