Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337888585
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 39, Problem 39P
To determine
Prove that the electron confined in an atomic nucleus would move with relativistic speed and a proton would move with non-relativistic speed in the same nucleus using uncertainty principle.
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Use the uncertainty principle to show that if an electron were confined inside an atomic nucleus of diameter
2 x 10-15 m, it would have to be moving relativistically, whereas a proton confined to the same nucleus can
be moving nonrelativistically.
A 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?
The speed of a proton is measured to within an uncertainty of 1 × 103m/s. Calculate the length of the smallest region of space in which the electron can be confined.
Chapter 39 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
Ch. 39.1 - Prob. 39.1QQCh. 39.2 - Prob. 39.2QQCh. 39.2 - Prob. 39.3QQCh. 39.2 - Prob. 39.4QQCh. 39.3 - Prob. 39.5QQCh. 39.5 - Prob. 39.6QQCh. 39.6 - Prob. 39.7QQCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3P
Ch. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 35PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40APCh. 39 - Prob. 41APCh. 39 - Prob. 43APCh. 39 - Prob. 44APCh. 39 - Prob. 45APCh. 39 - Prob. 46APCh. 39 - Prob. 47CPCh. 39 - Prob. 48CPCh. 39 - Prob. 49CPCh. 39 - Prob. 50CP
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- One proton is accelerated through a potential difference of 106 volts and another is accelerated through a potential energy of 1010 volts. For each proton, find the total energy, the momentum (actually find pc in MeV), and the wavelength.arrow_forwardA proton is confined in a uranium nucleus of diameter 7.2 x 10-15 m. Use the energy-level calculation of a one-dimensional box that has length equal to the nuclear diameter to calculate the proton's minimum kinetic energy. What is the proton's minimum kinetic energy according to the uncertainty principle?arrow_forwardA π0 meson is an unstable particle produced in high-energy particle collisions. Its rest energy is approximately 135 MeV, and it exists for a lifetime of only 8.70 × 10-17 s before decaying into two gamma rays. Using the uncertainty principle, estimate the fractional uncertainty Δm/m in its mass determination.arrow_forward
- In Davisson and Germer experiment, it was noted that the energy of an electron increases while entering a crystal, reducing its de-Broglie wavelength. Consider a 54 eV electron beam that is aimed at a nickel target. An electron that reaches the target increases its potential energy by 26 eV. What will be the speed and de-Broglic wavelength of clectron inside the nickel target? (b)arrow_forwardI need the answer as soon as possiblearrow_forwardIn an experiment done by scattering 5.5-MeV a particles from a thin gold foil, students find that 10,000 a particles are scattered at an angle greater than 50⁰. (a) How many of these particles will be scattered greater than 110°? particles (b) How many will be scattered between 58° and 76°? particlesarrow_forward
- In Millikan's oil-drop experiment, one looks at a small oil drop held motionless between two plates. Take the voltage between the plates to be 2241 V and the plate separation to be 2 cm. The oil drop (of density 0.81 g/cm3) has a diameter of 4.0 ×10-6 m. Find the charge on the drop, in terms of electron units.arrow_forwardIt is possible for some fundamental particles to temporarily "violate" conservation of energy in a way consistent with the uncertainty principle by creating and quickly reabsorbing another particle. For example, a proton can emit a 7+ particle according to p→n++, where the n represents a neutron. The 7+ has a mass of 140 MeV/c². The reabsorption must occur within a time At consistent with the uncertainty principle. (a) Considering the example shown, by how much energy AE is energy conservation tem- porarily violated? (b) For how long At can the 7+ exist? (c) Assuming that the 7+ is moving at approximately speed of light, how far from the nucleus could it get in the time At? This is the approximate range of the strong nuclear force. (d) Assuming that as soon as one pion is reabsorbed another is emitted, how many pions would be recorded by a "nucleon camera" with a shutter speed of 1 us?arrow_forwardShow that the spread of velocities caused by Heisenberg uncertainty principle does not have measurable consequences for a 100g ball confined to a room of 15m on one side. Assume the ball is moving at 2m/s along the X directionarrow_forward
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