Exam 29: Particles and Waves

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A beam of electrons is incident on a single slit that has a width of 1.00 × 10-6 m and a diffraction pattern is observed on a screen located 15.0 m from the slit. The momentum of an individual electron in the beam is 5.91 × 10-24 kg . m/s. What is the width of the central maximum fringe?

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D

Photons of what minimum frequency are required to remove electrons from gold? Note: The work function for gold is 4.8 eV.

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What happens to the de Broglie wavelength of an electron if its momentum is reduced to one-half of its initial value?

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The position of a 1-g object moving in the x direction at 1 cm/s is known to within ± 10 nm. In which range is the fractional uncertainty, ( Δ\Delta px)/px , in the x component of its momentum?

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In the Compton scattering experiment shown in the figure, a monochromatic beam of X-rays strikes a target containing free electrons. Scattered X-rays are detected with a wavelength of 2.50 × 10-12 m at an angle of 45° away from the original beam direction. What is the wavelength of the incident monochromatic X-rays? Note: The mass of an electron is 9.11 × 10-31 kg. In the Compton scattering experiment shown in the figure, a monochromatic beam of X-rays strikes a target containing free electrons. Scattered X-rays are detected with a wavelength of 2.50 × 10<sup>-</sup><sup>12</sup> m at an angle of 45° away from the original beam direction. What is the wavelength of the incident monochromatic X-rays? Note: The mass of an electron is 9.11 × 10<sup>-</sup><sup>31</sup> kg.

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A laser emits photons of energy 5.0 eV with a power of 10-2 W. How many photons are emitted each second?

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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. -What is the approximate kinetic energy of electrons that would be diffracted by such a grating?

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Complete the following statement: According to the de Broglie relation, the wavelength of a "matter" wave is inversely proportional to

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Which one of the following statements concerning photons is false?

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A laser emits a 5.0 × 103-J pulse of light that has a wavelength of 480 nm. Determine the number of photons in the pulse.

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Photons of energy 5.0 eV strike a metal surface that has a work function of 3.5 eV. Determine which one of the following best describes the kinetic energy of the emitted electrons.

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Complete the following statement: The photon or "particle" theory of electromagnetic radiation is necessary to explain the

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A laser produces 3.0 W of light that has a wavelength of 600 nm. How many photons per second are produced?

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A digital wireless telephone communicates to a base via microwaves with a frequency of 1930 MHz. What are the momentum and energy for the microwave photons emitted by the telephone? A digital wireless telephone communicates to a base via microwaves with a frequency of 1930 MHz. What are the momentum and energy for the microwave photons emitted by the telephone?

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Upon which one of the following parameters does the energy of a photon depend?

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The x component of the velocity of an electron (m = 9.11 × 10-31 kg) is known to be between 100 m/s and 300 m/s. Which one of the following is a true statement concerning the uncertainty in the x coordinate of the electron?

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Which one of the following quantities is the same for all photons in vacuum?

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A proton (mp = 1.673 × 10-27 kg) and an electron (me = 9.109 × 10-31 kg) are confined such that the x position of each is known to within 1.50 × 10-10 m. What is the ratio of the minimum uncertainty in the x component of the velocity of the electron to that of the proton, Δ\Delta ve/ Δ\Delta vp?

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When ultraviolet photons with a wavelength of 3.45 × 10-7 m are directed at the surface of an unknown metal in vacuum, electrons with a maximum kinetic energy of 1.52 eV are emitted from the surface. What is the work function of the metal?

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The position of a hydrogen atom (m = 1.7 × 10-27 kg) is known to within 2.0 × 10-6 m. What is the minimum uncertainty in the atom's velocity?

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