Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 62P
To determine

The energy carried off by the neutrino.

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A positive pion (π+, mass: m = 2.50 × 10-28 kg) at rest decays into a positive muon (μ+, mass: m₁ = 1.88 × 10-28 kg) and a neutrino. mμ (a) How much energy is released in the decay? You may assume the rest mass of the neutrino is negligible. Give your answer in MeV. (b) Give one reason why the neutrino is required in this decay. Briefly explain your answer.
a) A K° meson (mass 497.61 MeV/c2) decays to a t, T pair with a mean lifetime of 0.89 x 10-10 s. Suppose the K° has a kinetic energy of 276 MeV when it decays, and that the two A mesons emerge at equal angles to the original K° direction. Calculate the kinetic energy of each T meson and the opening angle between them. The mass of a 7 meson is 139.57 MeV/c2.
A p-meson at rest decays according toπ− → μ +  What is the energy carried offby the neutrino? Assume the neutrino has no mass and moves offwith the speed of light. Take mπc2 = 139.6 MeV and mμc2 = 105.7 MeV. Note: Use relativity; see Equation 26.13

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Principles of Physics: A Calculus-Based Text

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