Exam 38: Photons and Matter Waves

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Electromagnetic radiation with a wavelength of 3.5 * 10-12 m is scattered from stationary electrons and photons that have been scattered through 50 °\degree are detected. An electron from which one of these photons was scattered receives an energy of:

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If the kinetic energy of a non-relativistic free electron doubles, the frequency of its wave function changes by the factor:

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In Compton scattering from stationary electrons the frequency of the emitted light is independent of:

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Rank following electromagnetic radiations according to the energies of their photons, from least to greatest. Rank following electromagnetic radiations according to the energies of their photons, from least to greatest.

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In Compton scattering from stationary particles the maximum change in wavelength can be made smaller by using:

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An electron with energy E is incident on a potential energy barrier of height Epot and thickness L. The probability of tunneling increases if:

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Electromagnetic radiation with a wavelength of 3.5 * 10-12 m is scattered from stationary electrons and photons that have been scattered through 50 °\degree are detected. After a scattering event the magnitude of the electron's momentum is:

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A free electron in motion along the x axis has a localized wave function. The uncertainty in its momentum is decreased if:

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Identical particles, each with energy E, are incident on the following four potential energy barriers: Identical particles, each with energy E, are incident on the following four potential energy barriers:   Rank the barriers in terms of the probability that the particles tunnel through them, from least probability to greatest probability. Rank the barriers in terms of the probability that the particles tunnel through them, from least probability to greatest probability.

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Of the following which is the best evidence for the wave nature of matter?

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The frequency and wavelength of the matter wave associated with a 10-eV free electron are:

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Consider the following three particles: Consider the following three particles:   Rank them according to the wavlengths of their matter waves, least to greatest. Rank them according to the wavlengths of their matter waves, least to greatest.

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A free electron and a free proton have the same kinetic energy. This means that, compared to the matter wave associated with the proton, the matter wave associated with the electron has:

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In Compton scattering from stationary electrons the largest change in wavelength that can occur is:

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Separate Compton effect experiments are carried out using visible light and x rays. The scattered radiation is observed at the same scattering angle. For these experiments:

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In a photoelectric effect experiment at a frequency above cut off, the stopping potential is proportional to:

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In a photoelectric effect experiment the stopping potential is:

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The stopping potential for electrons ejected by 6.8 *1014-Hz electromagnetic radiation incident on a certain sample is 1.8 V. The kinetic energy of the most energetic electrons ejected and the work function of the sample, respectively, are:

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A free electron has a momentum of 5.0 *10-24kg. m/s. The wavelength of its wave function is:

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Ψ\Psi (x) is the wave function for a particle moving along the x axis. The probability that the particle is in the interval from x = a to x = b is given by:

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