SM_PC_chapter27

# SM_PC_chapter27 - Chapter 27 Quantum Physics Quick Quizzes...

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Chapter 27 Quantum Physics Quick Quizzes 1. (b). Some energy is transferred to the electron in the scattering process. Therefore, the scattered photon must have less energy (and hence, lower frequency) than the incident photon. 2. (c). Conservation of energy requires the kinetic energy given to the electron be equal to the difference between the energy of the incident photon and that of the scattered photon. 3. (c). Two particles with the same de Broglie wavelength will have the same momentum p mv = . If the electron and proton have the same momentum, they cannot have the same speed because of the difference in their masses. For the same reason, remembering that 2 2 KE p m = , they cannot have the same kinetic energy. Because the kinetic energy is the only type of energy an isolated particle can have, and we have argued that the particles have different energies, the equation f E h = tells us that the particles do not have the same frequency. 4. (b). The Compton wavelength, C e h m c λ = , is a combination of constants and has no relation to the motion of the electron. The de Broglie wavelength, e h m v λ = , is associated with the motion of the electron through its momentum. 137

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138 CHAPTER 27 Answers to Even Numbered Conceptual Questions 2. A microscope can see details no smaller than the wavelength of the waves it uses to produce images. Electrons with kinetic energies of several electron volts have wavelengths of less than a nanometer, which is much smaller than the wavelength of visible light (having wavelengths ranging from about 400 to 700 nm). Therefore, an electron microscope can resolve details of much smaller sizes as compared to an optical microscope. 4. Measuring the position of a particle implies having photons reflect from it. However, collisions between photons and the particle will alter the velocity of the particle. 6. Light has both wave and particle characteristics. In Young’s double-slit experiment, light behaves as a wave. In the photoelectric effect, it behaves like a particle. Light can be characterized as an electromagnetic wave with a particular wavelength or frequency, yet at the same time, light can be characterized as a stream of photons, each carrying a discrete energy, hf . 8. (a) particle. Light behaves like a tiny, localized packet of energy, capable of being totally absorbed by a single electron. (b) particle. Data from Compton scattering experiments can be fully explained by treating the scattering like a collision between two particles, conserving both energy and momentum. (c) wave. The observed patterns when light passes through a pair of parallel slits have the same characteristics as the diffraction and interference patterns formed by water waves passing through closely spaced openings. 10. Ultraviolet light has a shorter wavelength and higher photon energy than visible light.
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