Introduction To Health Physics
5th Edition
ISBN: 9780071835275
Author: Johnson, Thomas E. (thomas Edward), Cember, Herman.
Publisher: Mcgraw-hill Education,
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Chapter 3, Problem 3.8P
To determine
To Calculate: The uncertainty in the momentum of a proton inside a nucleus of 27Al and the kinetic energy of this proton.
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a) Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 6.0fm
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c) Suppose a photon in that nucleus had a kinetic energy of 5.6MeV. If the photon were represented by a de Broglie wave, how many wavelengths could fit across the diameter of the nucleus?
Each ? particle in a beam of ? particles has a kinetic energy of 5.1 MeV. Through what potential difference would you have to accelerate these ? particles in order that they would have enough energy so that if one is fired head-on at a gold nucleus it could reach a point 1.4 10-14 m from the center of the nucleus?
Now the energy of a neutrino is measured at a specific time. If the uncertainty in the time measurement is 2.31 x 10-24 seconds, what is the minimum uncertainty in the energy?
Chapter 3 Solutions
Introduction To Health Physics
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - Calculate the current due to the hydrogen electron...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - If 9 g of NaC1 were dissolved in 1 L of water,...Ch. 3 - Prob. 3.24PCh. 3 - What is the binding energy of the last neutron in...Ch. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - What is the binding energy of the last neutron in...Ch. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41P
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- (a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) What traction of the decay energy is this, noting that the decay mode is (so that all the mass is destroyed)?arrow_forwardAssume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of width 10.0 fm. (a) What are the energies of the proton when it is in the states corresponding to n=1,n=2, and n=3? (b) What are the energies of the photons emitted when the proton makes the transitions from the first and second excited states to the ground state?arrow_forwardCT scanners do not detect details smaller than about 0.5 Is this limitation clue to the wavelength of x lays? Explain.arrow_forward
- The decay energy of a short-lived particle has an uncertainty of 1.0 MeV due to its short lifetime. What is the smallest lifetime it can have?arrow_forward(a) Find the velocity of a neutron that has a 6.00-fm wavelength (about the size of a nucleus). Assume the neutron is nonrelativistic. (b) What is the neutron's kinetic energy in MeV?arrow_forwardExperiments are performed with ultra-cold neutrons having velocities as small as 1.00 m/s. (a) What is the wavelength of such a neutron? (b) What is its kinetic energy in eV?arrow_forward
- (a) The lifetime of a highly unstable nucleus is 10-20. What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.arrow_forwardAt what velocity does a proton have a 6.0-fm wavelength (about the size of a nucleus)? Give your answer in units of c.arrow_forwardShow that p=h and Ef=hf are consistent with the relativistic formula E2=p2c2+m02c2 .arrow_forward
- The uncertainty in a particular short-lived nuclear excited state is 1.8 eV. What is the smallest lifetime, in seconds, that this state can have?arrow_forwardRadius of an atomic nucleus is of the order 2.8 fm. What is the minimum energy that an electron should have to be found inside the atomic nucleus? Is this possible in reality? Explain.arrow_forwardWhat energy a particle would be needed to just reach the surface of an Al nucleus if its radius is 4 fm?arrow_forward
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