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Question: 

Which of the following reactions and decays are possible? For those forbidden, explain what laws are violated.

  1. $\pi^-$ + p $\rightarrow$ n + $\eta^0$
  2. $\pi^+$ + p $\rightarrow$ n + $\pi^0$
  3. $\pi^+$ + p $\rightarrow$ p + $\textrm{e}^+$
  4. p $\rightarrow \textrm{e}^+$ + $\nu_\textrm{e}$
  5. $\mu^+ \rightarrow \textrm{e}^+$ + $\bar{\nu}_\mu$
  6. p $\rightarrow$ n + $\textrm{e}^+$ + $\nu_\textrm{e}$

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 
  1. yes
  2. no because of charge conservation.
  3. no, because of conservation of electron lepton number
  4. no, because of conservation of baryon number
  5. no, because of conservation of electron lepton number
  6. no, because energy is not conserved.

Giancoli 7th Edition, Chapter 32, Problem 22

(2:39)

Chapter 32, Problem 22 is solved.

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