Chapter 6: Q32E (page 1249)
If a muon is traveling at 0.999c, what are its momentum and kinetic energy? (The mass of such a muon at rest in the laboratory is 207 times the electron mass.)
Short Answer
The momentum and kinetic energy
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Chapter 6: Q32E (page 1249)
If a muon is traveling at 0.999c, what are its momentum and kinetic energy? (The mass of such a muon at rest in the laboratory is 207 times the electron mass.)
The momentum and kinetic energy
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A 4.78 - MeV alpha particle from a decay makes a head-on collision with a uranium nucleus. A uranium nucleus has 92 protons. (a) What is the distance of closest approach of the alpha particle to the center of the nucleus? Assume that the uranium nucleus remains at rest and that the approach is much greater than the radius of the uranium nucleus. (b) What is the force on the alpha particle at the instant when it is at the distance of closest approach?
Can Compton scattering occur with protons as well as electrons? For example, suppose a beam of x rays is directed at a target of liquid hydrogen. (Recall that the nucleus of hydrogen consists of a single proton.) Compared to Compton scattering with electrons, what similarities and differences would you expect? Explain.
(a) Calculate the minimum energy required to remove one proton from the nucleus. This is called the proton-removal energy. (Hint: Find the difference between the mass of a nucleus and the mass of a proton plus the mass of the nucleus formed when a proton is removed from . (b) How does the proton-removal energy for compare to the binding energy per nucleon for , calculated using Eq. (43.10)?
An electron is moving past the square well shown in Fig. 40.13. The electron has energy . What is the ratio of the de Broglie wavelength of the electron in the regionto the wavelength for ?
Creating a Particle. Two protons (each with rest mass ) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that also produces an particle (see Chapter 44). The rest mass of the is . (a) If the two protons and the are all at rest after the collision, find the initial speed of the protons, expressed as a fraction of the speed of light. (b) What is the kinetic energy of each proton? Express your answer in . (c) What is the rest energy of the , expressed in ? (d) Discuss the relationship between the answers to parts (b) and (c).
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