Exam 30: Quantum Physics

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What is the energy (in eV)of an optical photon of frequency What is the energy (in eV)of an optical photon of frequency   (h = 6.626 × 10<sup>-34</sup> J ∙ s,1 eV = 1.60 × 10<sup>-19</sup> J) (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J)

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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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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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Two identical metal bars are heated up until they are both glowing.One of them is "red hot" and the other is "blue hot." Which one is hotter,the one that glows red or the one that glows blue?

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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)

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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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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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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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Electrons emerge from an electron gun with a speed of 2.0 × 106 m/s and then pass through a double-slit apparatus.Interference fringes with spacing of 2.7 mm are detected on a screen far from the double slit.What would the fringe spacing be if the electrons were replaced by neutrons with the same speed? (h = 6.626 × 10-34 J ∙ s,melectron = 9.11 × 10-31 kg,mneutron = 1.675 × 10-27 kg)

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What is the surface temperature of a star,if its radiation peak occurs at a frequency of 1.06 × 1015 Hz? (c = 3.00 × 108 m/s,and the constant in Wien's law is 0.00290 m ∙ K)

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

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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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The work function of a particular metal is The work function of a particular metal is   What is the photoelectric cutoff (threshold)wavelength for this metal? (c = 3.00 × 10<sup>8</sup> m/s,h = 6.626 × 10<sup>-34</sup> J ∙ s) 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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Which of the following actions will increase the energy of a photon? (There could be more than one correct choice. )

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An 84-kW AM radio station broadcasts at 1000 kHz.How many photons are emitted each second by the transmitting antenna? (h = 6.626 × 10-34 J ∙ s)

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A person of mass 50 kg has a de Broglie wavelength of 4.4 × 10-36 m while jogging.How fast is she running? (h = 6.626 × 10-34 J ∙ s)

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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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Electrons are accelerated to a speed of 4.0 × Electrons are accelerated to a speed of 4.0 ×   M/s and are then aimed at a double-slit apparatus,where interference fringes are detected.If the electrons were replaced by neutrons,what speed must neutrons have to produce interference fringes with the same fringe spacing as that observed with the electrons? (h = 6.626 × 10<sup>-34</sup> J ∙ s,m<sub>electron</sub> = 9.11 × 10<sup>-31</sup> kg,m<sub>neutron</sub> = 1.675 × 10<sup>-27</sup> kg) M/s and are then aimed at a double-slit apparatus,where interference fringes are detected.If the electrons were replaced by neutrons,what speed must neutrons have to produce interference fringes with the same fringe spacing as that observed with the electrons? (h = 6.626 × 10-34 J ∙ s,melectron = 9.11 × 10-31 kg,mneutron = 1.675 × 10-27 kg)

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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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Gamma rays are photons with very high energy.What is the wavelength of a gamma-ray photon with energy 7.7 × 10-13 J? (c = 3.0 × 108 m/s,h = 6.626 × 10-34 J ∙ s)

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