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 2, Problem 2.11P
To determine
The uncertainty in position of a 1-MeV electron assuming an uncertainty in the momentum of an electron equal to one-half its momentum?
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Chapter 2 Solutions
Introduction To Health Physics
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- If the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum uncertainty in the simultaneous measurement of the proton's y -component of velocity. What is the minimum uncertainty in the simultaneous measurement of the proton's x -component of velocity?arrow_forwardAn excited atom gives up its excited energy by emitting a photon. The average period that elapses between the excitation of an atom and the time it radiates is 5 x 10-9sec. Find the corresponding uncertainty in the frequency of the photon.arrow_forwardA nucleon (proton or neutron) is confined to a region of space (the nucleus) approximately 10 fm across. Assuming the momentum of a nucleon is roughly equal to the uncertainty in its momentum, estimate the nucleon's kinetic energy. Does this seem like a reasonable result?arrow_forward
- (a) Calculate the minimum uncertainty in momentum (expressed in MeV/?) for a proton confined to a nucleus of diameter 5.0 fm. (1 fm = 1 * 10-15 m). (b) A proton (rest mass 938.3 MeV/?2) in a nucleus of radius 6.0 fm has a kinetic energy of 5.6 MeV. If the proton were represented by a de Broglie wave, how many wavelengths could fit across the diameter of that nucleus? (1 fm = 1 * 10-15 m). (c) Electrons (rest mass 0.51 MeV/?2) moving with a speed of 1.60 × 105 m/s are described by a wave packet of width 2.65 nm. What range of values will most likely result from a measurement of the speed of the electrons? Please use:ℎ? 1240 eVnmℏ? 197 eVnmarrow_forwardA nucleus emits a gamma ray of energy 1.2 MeV from a state that has a lifetime of 2.1 ns. What is the uncertainty in the energy of the gamma ray? The best gamma-ray detectors can measure gamma-ray energies to a precision of no better than a few eV. Will this uncertainty be directly measurable?arrow_forwardthe measurement of electron energy requires a time interval of 1.0x10^28s. What's the smallest possible uncertainty in the electrons energy?arrow_forward
- The speed of an electron is known to be between 5.0×106 m/sm/s and 5.8×106 m/sm/s . Estimate the uncertainty in its position.arrow_forwardAn electron is confined to a region of space of the size of an atom (0.1 nm). (a) What is the uncertainty in the momentum of the electron? (b) What is the kinetic energy of an electron with a momentum equal to Ap? (c) Does this give a reasonable value for the kinetic energy of an electron in an atom?arrow_forwardIf the speed of an electron is measured to within an uncertainty of 2.0×10 4 m/s, what wouldbe the size of the smallest region of space in which the electron can be confined? me = 9.11×10 -31kg.arrow_forward
- Calcúlate the uncertainty for momentum p, when the mass of the object is 15.0 (+-) 0.2kg with a velocity of 7.0 (+-) 0.5m/s. What is the uncertainty percentage of the momentum?arrow_forwardIf an electron has an uncertainty in its velocity of 4.10 m/s, what is the uncertainty (in meters) in its position?arrow_forwardAn electron's position is known with an uncertainty of 1.0 × 10^(-9) meters. Calculate the minimum uncertainty in its momentum, assuming the minimum uncertainty principle holds.arrow_forward
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