Exam 29: Particles and Waves

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A photon of wavelength 200 nm is scattered by an electron that is initially at rest. Which one of the following statements concerning the wavelength of the scattered photon is true?

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It is desired to obtain a diffraction pattern for electrons using a diffraction grating with lines separated by 10 nm. The mass of an electron is 9.11 × 10-31 kg. -Suppose it is desired to observe diffraction effects for a beam of electromagnetic radiation using the same grating. Roughly, what is the required energy of the individual photons in the beam?

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The speed of a bullet with a mass of 0.050 kg is 420 m/s with an uncertainty of 0.010 %. What is the minimum uncertainty in the bullet's position if it is measured at the same time as the speed is measured?

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For which one of the following problems did Max Planck make contributions that eventually led to the development of the "quantum" hypothesis?

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Which experimental evidence confirms the hypothesis that matter exhibits wave properties?

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Which one of the following phrases best describes the term work function?

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The work function for a particular metal is 4.0 eV. Which one of the following best describes the wavelength of electromagnetic radiation needed to eject electrons from this metal?

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The de Broglie wavelength of an electron (m = 9.11 × 10-31 kg) is 1.2 × 10-10 m. Determine the kinetic energy of the electron.

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In an experiment to determine the speed and position of an electron (m = 9.11 × 10-31 kg), three researchers claim to have measured the position of the electron to within ± 10-9 m. They reported the following values for the speed of the electron: In an experiment to determine the speed and position of an electron (m = 9.11 × 10<sup>-</sup><sup>31</sup> kg), three researchers claim to have measured the position of the electron to within ± 10<sup>-</sup><sup>9</sup> m. They reported the following values for the speed of the electron:   Which of these measurements violates one or more basic laws of modern physics? Which of these measurements violates one or more basic laws of modern physics?

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Determine the energy of a single photon in a monochromatic beam of light of wavelength 625 nm.

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A photon has a collision with a stationary electron (h/mc = 2.43 × 10-12 m) and loses 5.0% of its energy. The photon scattering angle is 180°. What is the wavelength of the incident photon in this scattering process?

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What is the de Broglie wavelength of an electron (m = 9.11 × 10-31 kg) in a 2.5 × 103-volt X-ray tube?

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Approximately, what is the de Broglie wavelength of an electron that has been accelerated through a potential difference of 225 V? The mass of an electron is 9.11 × 10-31 kg.

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The Hubble Space Telescope has an orbital speed of 7.56 × 103 m/s and a mass of 11 600 kg. What is the de Broglie wavelength of the telescope?

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