COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
2nd Edition
ISBN: 9781319414597
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 27, Problem 27QAP
To determine
The relative size of the nuclear force compared to the electrostatic force between two adjacent protons in the nucleus.
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Students have asked these similar questions
•14 A 236U nucleus undergoes fission and breaks into two mid-
dle-mass fragments, 140Xe and 96Sr. (a) By what percentage does
the surface area of the fission products differ from that of the origi-
nal 236U nucleus? (b) By what percentage does the volume change?
(c) By what percentage does the electric potential energy change?
The electric potential energy of a uniformly charged sphere of ra-
dius r and charge Q is given by
3
514περ
Two positively charged protons in a Helium nucleus are separated by about 2 x 10^-15 m. Use Coulomb's law to find the electrical force of repulsion between the two protons. This result will give you an indication of the strength of the STRONG nuclear force.
•3 @ A thermal neutron (with approximately zero kinetic energy) is
absorbed by a 23U nucleus. How much energy is transferred from
mass energy to the resulting oscillation of the nucleus? Here are some
atomic masses and the neutron mass.
237U 237.048 723 u
239U 239.054 287 u
238U 238.050 782 u
240U 240.056 585 u
1.008 664 u
Chapter 27 Solutions
COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
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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_forward56Feis among the most tightly bound of all nuclides. It is more than 90% of natural iron. Note that 56Fe has even numbers of both protons and neutrons. Calculate BE/A, the binding energy per nucleon, for 56Fe and compare it with the approximate value obtained from the graph in Figure 31.27.arrow_forwardAn alpha particle (Z = 2, mass = 6.64 x 10-27 kg) approaches to within 1.00 x 10-14 m of a carbon nucleus (Z = 6). What are (a) the maximum Coulomb force on the alpha particle, (b) the acceleration of the alpha particle at this time, and (c) the potential energy of the alpha particle at the same time?arrow_forward
- •22 O An a particle (*He nucleus) is to be taken apart in the fol- lowing steps. Give the energy (work) required for each step: (a) re- move a proton, (b) remove a neutron, and (c) separate the remain- ing proton and neutron. For an a particle, what are (d) the total binding energy and (e) the binding energy per nucleon? (f) Does either match an answer to (a), (b), or (c)? Here are some atomic masses and the neutron mass. "He 4.002 60 u 2H 2.014 10 u 3H 3.016 05 u 'H 1.007 83 u 1.008 67 uarrow_forwardThe liquid drop model may be used to determine the nuclear binding energy for an isotope. This model uses the semiempirical binding energy formula, which takes into consideration four major effects (one term per effect) that contribute to the nuclear binding energy. The semiempirical binding energy formula may be expressed as: Z(Z - 1) C3 A1/3 (N – z)2 E, = C;A – C,A?/3 A The first term is the volume term, the second is the surface term, the third is the Coulomb term, and the fourth is the symmetry term. For nuclei having A 2 15, the constants have the following values: = 15.7 MeV, C, = 17.8 MeV, C3 = 0.71 MeV, and C. = 23.6 MeV 56 (a) Use the semiempirical binding energy formula to determine the nuclear binding energy (in MeV) for the isotope Fe. 26 MeV (b) Determine the percentage contribution to the binding energy by each of the four terms. (You should expect positive and negative values, but the sum should be 100%. Due to the nature of this problem, do not use rounded intermediate…arrow_forward(a) What is the ratio of the radii of the nuclei Ni-58 and N-15? (b) What is the ratio of the densities of these nuclei? OA: 1.570 OB: 1.836 OC: 2.149 OD: 2.514 OE: 2.941 OF: 3.441 OG: 4.026 OH: 4.711 OA: 0.2 OB: 0.3 OC: 0.3 OD: 0.4 OE: 0.5 OF: 0.6 OG: 0.8 OH: 1.0arrow_forward
- For an electrically neutral atom, the number of protons in the nucleus of is equal to the number of neutrons surrounding the nucleus. the number of neutrons in the nucleus. the number of electrons in the nucleus. O None of the other choices is correct. O the number of electrons surrounding the nucleus.arrow_forwardLearning Check Estimate the diameter of the smallest and largest naturally occurring nuclei: (a)}H (b)²3§Uarrow_forward•49 SSM Generally, more massive nuclides tend to be more un- stable to alpha decay. For example, the most stable isotope of ura- nium, 28U, has an alpha decay half-life of 4.5 x 10° y. The most stable isotope of plutonium is 24Pu with an 8.0 x 10' y half-life, and for curium we have 248Cm and 3.4 x 10 y. When half of an original sam- ple of 238U has decayed, what fraction of the original sample of (a) plu- tonium and (b) curium is left?arrow_forward
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