Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 43, Problem 31P
To determine
To calculate:
the height of the Coulomb barrier for head-on collision of two deuteron atoms.
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1 MeV neutrons are scattered on a target. The angular distribution of the neu-
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For the nuclear force to overcome the repulsive Coulomb force, the separation distance between two deuterons must be approximately 1.0 x 10-14 m.(A) Calculate the height of the potential barrier due to the repulsive force. (B) Estimate the temperature required for a deuteron to overcome the potential barrier, assuming an energy of (3)/(2)kBT per deuteron (where kB is Boltzmann’s constant). (C) Find the energy released in the deuterium–deuterium reaction 2/1H + 2/1H → 3/1H + 1/1H
The quark compositions of the proton and neutron are, respectively, uud and udd, where u is an up quark (charge + 2/3 e) and d is a down quark (charge - 1/3 e). There are also antiup u (charge - 2/3 e) and antidown d (charge + 1/3 e) quarks. The combination of a quark and an antiquark is called a meson. The mesons known as pions have the composition π+ = ud- and π- = u-d. Suppose a proton collides with an antineutron. During such collisions, the various quarks and antiquarks annihilate whenever possible. When the remaining quarks combine to form a single particle, it is aA. Proton B. Neutron C. π+ D. π-
Chapter 43 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 43 - Prob. 1QCh. 43 - Prob. 2QCh. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Which of these elements is not cooked up by...Ch. 43 - Prob. 9QCh. 43 - Prob. 10Q
Ch. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - SSM a A neutron of mass mn and kinetic energy K...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - SSM WWW Coal burns according to the reaction...Ch. 43 - Prob. 48PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - Prob. 52PCh. 43 - Prob. 53PCh. 43 - Prob. 54PCh. 43 - Prob. 55PCh. 43 - Prob. 56PCh. 43 - Prob. 57PCh. 43 - Prob. 58P
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- a) The pion π0 is a force carrier for the nuclear force. Assuming that this force is descibed by a Yukawa potential, estimate the range of the force from the mass of π0 , which is mπ0 = 135 MeV/c2 b) Sketch a diagram indicating the s-process path from 102Ru to 109Ag. Specify the type ofeach process (i.e. neutron capture, electron capture, beta decays) in the path. c) Consider the five isotopes of Pd with mass number from 104 to 108. For each of these determine whether in stellar nucleosynthesis it can produced via the s-process, the r-process or both. Explain your reasoning.arrow_forwardCalculate the height of the potential barrier for a head on collision of two deuterons.arrow_forwardQ.2(b) Assuming that nuclear forces arises from the exchange of p-mesons, estimate the range of nuclear force if mass of meson is 770 MeV/C².arrow_forward
- An a particle is emitted by a 238Th nucleus. Assuming the potential to be purely Coulombic beyond the point of separation, the height of the Coulomb barrier is MeV (up to two decimal places). 1.44 MeV-fm, ro = 1.30 fm) %D %3Darrow_forwardAnother component of the strong nuclear force is transmitted by the exchange of virtual K-mesons. Taking Kmesons to have an average mass of 495 MeV/c2 , what is the approximate range of this component of the strong force?arrow_forwardA free neutron decays according to Eq. 42-26. If the neutron–hydrogen atom mass difference is 840 mu, what is the maximum kinetic energy Kmax possible for the electron produced in a neutron decay?arrow_forward
- A beam of mesons contaminated with μ+ mesons is passed through an iron absorber. Given that the interaction cross-section of л mesons with iron is 600 mb/nucleus, calculate the thickness of iron necessary to attenuate the beam by a factor of 500. Explain why muons will be reduced to a much less extent. (The density of iron is 7,900 kg m-2, the atomic mass being 55.85 amu)arrow_forwardin 1975 it was estimated that the so-called constituent quark masses are: m_u = m_d = 336 MeV/c^2, m_s = 540 MeV/c^2, and m_c = 1500 MeV/c^2 (the bottom quark is about 4500 MeV/c^2). If this is right the average binding energy of the baryon octet is -62MeV. If they all had exactly this binding energy, what would their masses be? Compare the actual values and give the percent error. (Excluding supermultiplets)arrow_forwardIn Rutherford scattering we noted that angular momentum is conserved. The angular momentum of the incident αparticle relative to the target nucleus is mv0b where m is the mass, v0 is the initial velocity of the αparticle, and b is the impact parameter. Start with L = r x p and show that angular momentum is conserved, and the magnitude is given by mv0b along the entire path of theα particle while it is scattered by the Coulomb force from a gold nucleus.arrow_forward
- For neutron moderation by helium, make a sketch showing the average energy of a beam of initial 2.0 MeV neutrons as a function of time, assuming the mean time between collisions is t. How long does it take for the neutrons to loose 50% of their energy? How long for 90%?arrow_forward: Evaluate the electron Debye length and number of particles for A laser fusion , electron beam fusion , with T = 1K eV , n = 1020 cm−3.arrow_forwardTwo protons are racing directly toward each other at the same speed. They collide, and a stationary top quark is produced. What is the minimum gamma factor each of the two protons must have for this to be possible?arrow_forward
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