
Concept explainers
(a)
The unknown particle in the reaction.
(a)

Explanation of Solution
Given: The reaction is
Introduction:
The reaction process for given particle is balanced if charge, baryon number, lepton numbers and spin are conserved.
The total charge before and after the reaction must be same; it means, the charge must be conserved in the reaction.
Conserve the total charge before and after the reaction.
Here,
The Baryon number before and after the reaction must be same; it means, the Baryon number must be conserved in the reaction.
Conserve the Baryon number before and after the reaction.
Here,
The strangeness before and after the reaction must be same; it means, the strangeness must be conserved in the reaction.
Conserve the strangeness before and after the reaction.
Here,
The spin before and after the reaction must be same; it means, the spin must be conserved in the reaction.
Conserve the spin before and after the reaction.
Here,
All the above properties illustrate that the unknown particle is pion particle.
Conclusion:
Thus, the unknown particle in the reaction is
(b)
The
(b)

Explanation of Solution
Given:
The reaction is
Formula used:
Write the expression for change in mass.
Here,
Write the expression for
Substitute
Here,
Calculation:
Substitute
Conclusion:
Thus, the
(c)
The thresholdenergy for this reaction.
(c)

Explanation of Solution
Given:
The reaction is
Formula used:
Write the expression for change in mass.
Here,
Write the expression for
Substitute
Here,
Write the expression for threshold energy.
Here,
Calculation:
Substitute
Conclusion:
Thus, the threshold energy for this reaction is
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Chapter 41 Solutions
Physics for Scientists and Engineers
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