Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Question
Chapter 13, Problem 19P
(a)
To determine
Obtain an expression for total energy required to assemble a spherical charge distribution equivalent to that of atomic number Z and a radius R.
(b)
To determine
Expression for electrostatic potential energy in terms of mass number A.
(c)
To determine
Electrostatic potential energy of nucleus
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Chapter 13 Solutions
Modern Physics
Ch. 13.4 - Prob. 1ECh. 13 - Prob. 1QCh. 13 - A proton precesses with a frequency p in the...Ch. 13 - Prob. 3QCh. 13 - Prob. 4QCh. 13 - Prob. 5QCh. 13 - Prob. 7QCh. 13 - Prob. 8QCh. 13 - Prob. 9QCh. 13 - What fraction of a radioactive sample has decayed...
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- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forwardConsider a model of the nucleus in which the positive charge (Ze) is uniformly distributed throughout a sphere of radius R. By integrating the energy density 1/2∈0E2 over all space, show that the electric potential energy may be written U = (3Z2e2)/(20π∈0R) = (3keZ2e2)/(5R)arrow_forwardConsider the nucleus. Find approximate values for its (a) radius, (b) volume, and (c) densityarrow_forward
- Find the radius of an iron-56 nucleus. (b) Find its approximate density in kg / m3 , approximating the mass of 56 Fe to be 56 u.Calculate that density in u/fm3 and kg/m3 , and compare your results for 56 Fe .arrow_forwardSuppose the alpha particle in a Rutherford scattering experiment is replaced with a proton of the same initial kinetic energy and also headed directly toward the nucleus of the gold atom. (a) Will the distance from the center of the nucleus at which the proton stops be greater than, less than, or the same as that of the alpha particle? (b) If, instead, we switch the target to a nucleus with a larger value of Z, is the stopping distance of the alpha particle greater than, less than, or the same as with the gold target?arrow_forwardIn a Rutherford scattering experiment, assume that an incident alpha particle (radius 1.80 fm) is headed directly toward a target gold nucleus (radius 6.23 fm).What energy must the alpha particle have to just barely “touch” the gold nucleus?arrow_forward
- It is possible on the basis of shell model that nucleus with Z = 110 and A = 294 may be exceptionally long-lived. Estimate its nuclear radius.arrow_forwardThe energy required to construct a uniformly charged sphere of total charge Q and radius R is U = 3keQ2/5R, where ke is the Coulomb constant. Assume a 40Ca nucleus contains 20 protons uniformly distributed in a spherical volume. (a) How much energy is required to counter their electrical repulsion according to the above equation? (b) Calculate the binding energy of 40Ca. (c) Explain what you can conclude from comparing the result of part (b) with that of part (a).arrow_forward
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