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The following nuclear reaction

\(\text{P} + \text{P} \rightarrow \text{K}^{+} + \Sigma^{+}\)

is not allowed due to non-conservation of :

  • A.Baryon number and isospin
  • B.Strangeness and baryon number
  • C.Charge and strangeness
  • D.Isospin and charge

Answer: A

The reaction violates conservation of baryon number and isospin.

Check each quantity on both sides of \(p + p \rightarrow K^{+} + \Sigma^{+}\):

Quantityp + pK+ + Sigma+
Charge Q+2+1 + 1 = +2
Baryon number B20 + 1 = 1
Strangeness S0+1 - 1 = 0
Isospin \(I_{3}\)+1+1/2 + 1 = +3/2

Charge and strangeness balance, but baryon number falls from 2 to 1 and \(I_{3}\) changes from 1 to 3/2, which a strong interaction cannot do. So options naming charge or strangeness are wrong.

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