To show: The kinetic energy of the muon is
Explanation of Solution
Given:
Rest mass of pi-meson is
Rest mass of muon is
Rest mass of neutrino is
Formula used:
Relativistic energy is given by:
Calculation:
According to the given statement, pi meson is at rest so the momentum is zero.
Using the law of conservation of energy,
Now, the energy of each particle is given by:
Also, according to the momentum conservation law,
Hence, the energy for muon and neutrino can be given as follows:
Using all the values and substituting them into the energy conservation law,
Now, the kinetic energy for muon can be calculated as follows:
Conclusion:
Thus, the kinetic energy of the muon is
Chapter 26 Solutions
Physics: Principles with Applications
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