•11 SSM www Which conservation law is violated in each ofthese proposed decays? Assume that the initial particle is station-ary and the decay products have zero orbital angular momentum.(a) u→e-+ v (b) u →et + v, + ī,: (c) ut→* + v.

Answered: •11 SSM www Which conservation law is…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 10CQ

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The purpose of this problem is to show in three ways that the binding energy at the election in a hydrogen atom is negligible compared with the masses of the proton and electron. (a) Calculate the mass equivalent in u of the 13.6eV binding energy of an electron in a hydrogen atom, and compete this with the mass of the hydrogen atom obtained from Appendix A. (b) Subtract the mass at the proton given in Table 31.2 from the mass at the hydrogen atom given in Appendix A. You will find the difference is equal to the electron’s mass to three digits, implying the binding energy is small in comparison. (c) Take the ratio of the binding energy at the electron (13.6 eV) to the energy equivalent of the electron's mass (0.511 MeV). (d) Discuss how your answers confirm the stated purpose of this problem.
If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV respectively, what is the difference in their masses in kilograms?
Repeat the previous problem for the decay mode
If 1.01030MeV of energy is released in the annihilation of a sphere of matter and antimatter, and the spheres are equal mass, what are the masses of the spheres?
If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?
When an electron and position annihilate, both their masses are destroyed, creating two equal energy photons to preserve momentum. (a) Confirm that the annihilation equation e++e+ conserves charge, electron family number, and total number of nucleons. To do this, identify the values of each before and after the annihilation. (b) Find the energy of each ray, assuming the election and positron are initially nearly at rest. (c) Explain why the two rays travel in exactly opposite directions if the center at mass of the electron—positron system is initially at rest.
Two protons approach each other head-on, each with 70.4 MeV of kinetic energy, and engage in a reaction in which a proton and positive pion emerge at rest. What third particle, obviously uncharged and therefore difficult todetect, must have been created?
Find the value of the radius r according to rav = ∫0∞ rP(r) dr for the 2s and 2p levels of hydrogen.
What is the rest energy (in MeV) of an atom with an mass of 6.43 u?
The nuclear potential energy betweenthe proton and the neutron in a deuteriumnucleus (a hydrogen nucleus with a neutron)has an average value of 2.224 MeV. By howmuch does this interaction change the mass ofthe combined system in MeV/c 2 and kg? Whatis this as a fraction of the combined mass of theproton and the neutron?
A particle has γ=9,681. Gamma is chosen to make the particle extremely close to the speed of light. In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,368 MeV/c, calculate its energy in MeV.

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•11 SSM www Which conservation law is violated in each of these proposed decays? Assume that the initial particle is station- ary and the decay products have zero orbital angular momentum. (a) u→e-+ v (b) u →et + v, + ī,: (c) ut→* + v.