Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 39, Problem 23E
To determine

The equation for the decay of a positive pion to muon and a neutrino.

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Beams of p- mesons are used in radiation therapy for certain cancers. The energy comes from the complete decay of the p- to stable particles. (a) Write out the complete decay of a p- meson to stable particles. What are these particles? (b) How much energy is released from the complete decay of a single p- meson to stable particles? (You can ignore the very small masses of the neutrinos.) (c) How many p- mesons need to decay to give a dose of 50.0 Gy to 10.0 g of tissue? (d) What would be the equivalent dose in part (c) in Sv and in rem? Consult Table 43.3 and use the largest appropriate RBE for the particles involved in this decay.
Two 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? The rest mass energy of Top quark should match the total energy of two protons so as to conserve energy.  To calculate the rest mass energy of the Top quark, we use the following relation.  ET0= mT0c^2  Putting in the values.  ET0=3.08×10^−25×(3×108)2 ET0= 27.7×10-9J Where did the 3.08 x 10^-25 come from
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