An Introduction to Thermal Physics
An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 6.1, Problem 13P
To determine

The fraction of the protons to the nucleons and the fraction of the neutrons to the nucleons.

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The carbon isotope 14C is used for carbon dating of objects.  A  14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino.  Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino.  The electron has a mass of 9.11x 10-31 kg and a speed of 5.5 x107  m/s.  While the anti neutrino has  a momentum of 8.5x10-24 kg-m/s.  If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.
Two protons (each with mass mp = 1.67 x 10-27 kg) are initially moving with equal speeds in opposite directions. They continue to exist after a head-on collision that also produces a neutral pion of mass mp = 2.40 x 10-28 kg (Fig.). If all three particles are at rest after the collision, find the initial speed of the protons. Energy is conserved in the collision.
5) At the Fermilab accelerator, protons of momentum 5.3 × 10-16 kg.m/s are held in a circular orbit of diameter 2 km by a vertial B. Find the magnitude of the B required for this task.
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